an empirical analysis of life cycle fertility and female labor supply this paper examines us household fertility and female labor supply over the life cycle using data from the panel study of income dynamics the authors investigate how maternal time inputs and market expenditures on offspring as well as the benefits they yield their parents vary with ages of offspring and influence female labor supply and contraceptive behavior the econometric framework combines a female labor supply model and a contraceptive choice index function it also accounts for the fact that conceptions are not perfectly controllable events using longitudinal data on married couples the authors estimate these equations and test alternative specifications of the technologies governing child care the findings suggest that while parents cannot perfectly control conceptions variations in child care costs do affect life cycle spacing of births furthermore the results demonstrate the gains of modeling the linkages between female labor supply and fertility behavior at the household level authors modified

do switching costs make markets less competitive abstract the conventional wisdom in economic theory holds that switching costs make markets less competitive this article challenges this claim the authors formulate an empirically realistic model of dynamic price competition that allows for differentiated products and imperfect lock in they calibrate this model with data from frequently purchased packaged goods markets these data are ideal in the sense that they have the necessary variation to identify switching costs separately from consumer heterogeneity equally important consumers exhibit inertia in their brand choices a form of psychological switching cost this makes the results applicable to the broad range of products that are distinctly identified i e branded rather than just to products for which there is a product adoption cost or explicit switching fee in the simulations prices are as much as 18 lower with than without switching costs more important equilibrium prices do not increase even in the presence of switching costs that

a factor analytic probit model for representing the market structure in panel data internal market structure analysis infers both brand attributes and consumer preferences for those attributes from preference or choice data the authors exploit a new method for estimating probit models from panel data to infer market structures that can be displayed in few dimensions even though the model can represent every possible vector of purchase probabilities

how successful was the new deal the microeconomic impact of new deal spending and lending policies in the 1930s the new deal during the 1930s was arguably the largest peace time expansion in federal government activity in american history until recently there had been very little quantitative testing of the microeconomic impact of the wide variety of new deal programs over the past decade scholars have developed new panel databases for counties cities and states and then used panel data methods on them to examine the impact of new deal spending and lending policies for the major new deal programs in most cases the identification of the effect comes from changes across time within the same geographic location after controlling for national shocks to the economy many of the studies also use instrumental variable methods to control for endogeneity the studies find that public works and relief spending had state income multipliers of around one increased consumption activity attracted internal migration reduced crime rates and lowered several types of mortality the farm programs typically aided large farm owners but eliminated opportunities for share croppers tenants and farm workers the home owners loan corporation s purchases and refinancing of troubled mortgages staved off drops in housing prices and home ownership rates at relatively low ex post cost to taxpayers the reconstruction finance corporation s loans to banks and railroads appear to have had little positive impact although the banks were aided when the rfc took ownership stakes

a probabilistic choice model for market segmentation and elasticity structure marketing scholars commonly characterize market structure by studying the patterns of substitution implied by brand switching though the approach is useful it typically ignores the destabilizing

job exit behavior of older men a dynamic programming model of job exit behavior and retirement is constructed and estimated using the method of simulated moments the model and estimation method allow for both unobserved individual effects and unobserved job specific match effects the model is estimated using two different assumptions about individual discount factors first a static model with the discount factor equal to zero is estimated then a dynamic model with the discount factor equal to 95 is estimated in both models it is found that bad health age and lack of education increase the probability of retirement the dynamic model performs better than the static model and has different implications for retirement behavior the job specific effects are an important source of unobserved heterogeneity copyright 1991 by the econometric society

the asymmetric information model of state dependence marketing researchers and practitioners are interested in consumer loyalty because of its managerial consequences previous empirical studies find that consumers are loyal not only to a brand but also to a firm umbrella brand that is even when firms offer new products consumers tend to continue to purchase from the same firm this repeat purchase behavior might result from state dependence or from heterogeneity the meaning of state dependence is that the current choice behaviorally depends on the previous one the traditional model of state dependence assumes that the previous choice affects the current utility this study suggests another source of state dependence the previous choice affects the current information set specifically the model assumes that the consumer a knows the attributes of the new product offered by the firm from which he she purchased in the previous period b is uncertain about the attributes of the new products offered by the other firms c can obtain full information about the attributes of all the products through a costly search and d if the consumer decides not to search he she purchases the new product offered by the firm from which he she purchases in the previous period it is shown that state dependence can result either from the effect of previous choices on the current utility or from its effect on the current information set this theoretical result raises the following question what kind of data does a researcher need in order to distinguish between the two sources of state dependence this study shows that the two sources can be distinguished with a standard panel data set in other words although the new source of state dependence is based on the search activity of consumers there is an identifying factor that enables a researcher to detect such activity even without direct data on search the empirical distinction is possible because the behavioral implications of the two sources of state dependence are different they differ in the effect of product attributes on the repeat purchase probability the following example partially illustrates this result there are two firms a and b the consumer purchased a product from firm a in period t 1 the only product attribute is x and the utility is a linear function of x one aspect of our findings is that in the traditional model of state dependence a change in both x a and x b that leaves the difference between them x a x b unchanged neutral change hereinafter has no effect on the repeat purchase probability however such a change does affect the repeat purchase probability in the asymmetric information model of state dependence this is only one aspect of the finding the implications of the models differ in a more general fashion the intuition of this result is the following a neutral change has no effect on the repeat purchase probability in the traditional model of state dependence because it does not affect the difference between the utilities from both alternatives in the asymmetric model of state dependence the consumer s decision process consists of two stages first he decides whether to search for information about the other alternative or not then if he searches for information he chooses the alternative that maximizes his utility in the second stage a neutral change has no effect on choices since such a change does not affect the difference between the utilities from the two alternatives in the first stage the consumer knows x a but does not know x b it turns out that in this stage a neutral change does affect the search decision when for example both x s decrease and the utility is a positive function of x the probability of search increases and thus the repeat purchase probability decreases the proposed source of state dependence is examined using structural estimation and panel data on television viewing choices in the united states controlling for both observed and unobserved heterogeneity it is found that the suggested source is more important in creating repeat purchase than the traditional one for most of the population 71 this indicates that what was considered by previous studies to result from the dependence of consumer utility on their previous choices is at least partially due to the effect of the previous choices on consumers information set the distinction between the two sources of repeat purchase is important because ignoring the informational explanation may lead to incorrect theoretical and empirical conclusions for example price discounts to induce trial are more important for consumers whose utility depends on previous choices while advertising is more effective for those whose information set depends on previous choices

quantity discount dependent consumer preferences and competitive nonlinear pricing abstract producers of consumer packaged goods often offer several package sizes of the same product and charge a lower unit price for a larger size in this article the authors investigate the quantity discount effect or the phenomenon that consumers derive transaction utility from the unit price difference between a small and a large package size of the same product the authors propose a modeling framework composed of a demand side model and a supply side model the empirical results suggest that quantity discount induced gains or losses have a significant impact on consumer buying behavior the authors also find a substantial amount of structural heterogeneity that is some consumers perceive quantity discounts as gains whereas others perceive quantity discounts as losses conversely the supply side analysis suggests that manufacturers in the empirical application do not consider quantity discount effects when setting prices through a series of policy experiments the authors show that by accou

the term structure of credit spreads with jump risk abstract default risk analysis is important for valuing corporate bonds swaps and credit derivatives and plays a critical role in managing the credit risk of bank loan portfolios this paper offers a theory to explain the observed empirical regularities on default probabilities recovery rates and credit spreads it incorporates jump risk into the default process with the jump risk a firm can default instantaneously because of a sudden drop in its value as a result a credit model with the jump risk is able to match the size of credit spreads on corporate bonds and can generate various shapes of yield spread curves and marginal default rate curves including upward sloping downward sloping flat and hump shaped even if the firm is currently in a good financial standing the model also links recovery rates to the firm value at default so that the variation in recovery rates is endogenously generated and the correlation between recovery rates and credit ratings before default reported in altman j finance 44 1989 909 can be justified

will the consistent organic food consumer step forward an empirical analysis the organic food market has reached a significant value in developed countries but market shares vary substantively between product categories this article investigates general patterns in the sequence of adoption of organic products based on a major danish retailer s panel scanner data all registered transactions over 20 months from 8 704 randomly selected customers with a loyalty card are analyzed using a hidden markov model capturing the dynamics in consumers purchases the model identifies latent states representing identifiable accessible and actionable dynamic customer segments and captures the movements between states or segments a pattern emerges that is consistent with the theory of behavioral spillover and inconsistent with the theory of moral licensing including a tendency to buy organic products in an increasing number of product categories over time the order in which organic products are adopted is inversely related to the behavioral costs of adopting them the employed approach provides a firm basis for personalized communication aiming to increase cross selling of organic products increase the sale of less popular organic products and accelerate movements from segments buying few organic products to segments buying organic more consistently

valuing risky fixed rate debt an extension this paper develops a corporate bond valuation model that takes into account both early default and interest rate risk it corrects a defect of recent contributions where pricing equations do not assure that the payment to bondholders upon bankruptcy is no greater than firm value the bankruptcy triggering mechanism is directly related to the payoff received by bondholders when early bankruptcy is forced upon the firm more specifically the default barrier is defined simply as a fixed quantity discounted at the riskless rate up to the maturity date of the risky corporate bond as soon as this threshold is crossed bondholders receive an exogenously specified fraction ofthe remaining assets deviations from the absolute priority rule also are captured because it accounts for gaussian interest rate uncertainty default risk and deviations from the absolute priority rule this model is capable of producing quite diverse shapes for the term structure of yield spreads

the choice theory approach to market research this paper surveys economic choice theory stressing developments that permit use of data from psychometric and conjoint experiments to produce market demand forecasts alternatives to the widely used multinomial logit model are summarized and a new method for estimating multinomial probits is described an integration of choice models with attitudinal scaling and perceptual mapping within a latent variable system is described estimation of such systems under either random effects or fixed effects descriptions of heterogeneity across individuals is discussed issues in the use of choice models to describe responses from conjoint experiments are presented new regression diagnostic tests for the consistency of multinomial logit representations are discussed

addressing endogeneity in aggregate logit models with time varying parameters for optimal retail pricing abstract it is well known that price endogeneity is a severe problem in demand models for market level data e g aggregate logit models because it leads to biased estimates and therefore incorrect managerial implications if the price parameter varies over time as is usually the case the relevance of the issue increases because standard methods to correct endogeneity biases e g generalized method of moments fail this paper presents a control function approach as a remedy a comprehensive simulation study demonstrates this method s suitability such that addressing endogeneity with the control function approach is the best choice moreover addressing the endogeneity problem incorrectly may be even more harmful than simply ignoring it to further illustrate the control function approach we analyze the demand for canned tuna using aggregate retailer level data here all utility parameters vary over time and price endogeneity is indeed an issue effectively addressing price endogeneity correct has positive economic consequences a normative model analysis reveals that implementing the control function approach yields a 3 increase in retailer profits

a dynamic program for valuing corporate securities abstract we design and implement a dynamic program for valuing corporate securities seen as derivatives on a firm s assets and computing the term structure of yield spreads and default probabilities our setting is flexible for it accommodates an extended balance sheet equality arbitrary corporate debts multiple seniority classes and a reorganization process this flexibility comes at the expense of a minor loss of efficiency the analytical approach proposed in the literature is exchanged here for a quasi analytical approach based on dynamic programming coupled with finite elements to assess our construction which shows flexibility and efficiency we carry out a numerical investigation along with a complete sensitivity analysis

a proportional random utility approach to qualitative response models a new functional form of the response probability for a qualitative response model is proposed the new model is flexible enough to avoid the constraint of independence from irrelevant alternatives which is perceived as a weakness of the multinomial logit model in some applications it is computationally simpler than the multinomial probit model and is promising for analyzing problems with a moderate number of alternatives

using neoclassical consumer choice theory to produce a market map from purchase data this article presents a new model for estimating the spatial representation of objects and preference vectors from actual choice behavior of individuals or households it is based on neoclassical economic theory of consumer choice the model integrates both decisions of which good s to buy and the quantity of purchase overall preference is decomposed into price effects and intrinsic preference for the good a maximum likelihood method for estimating the model parameters is described and illustrated using choice data of ketchup brands collected by the use of electronic supermarket scanners

decision making under uncertainty capturing dynamic brand choice processes in turbulent consumer goods markets we construct two models of the behavior of consumers in an environment where there is uncertainty about brand attributes in our models both usage experience and advertising exposure give consumers noisy signals about brand attributes consumers use these signals to update their expectations of brand attributes in a bayesian manner the two models are 1 a dynamic model with immediate utility maximization and 2 a dynamic forward looking model in which consumers maximize the expected present value of utility over a planning horizon given this theoretical framework we derive from the bayesian learning framework how brand choice probabilities depend on past usage experience and advertising exposures we then form likelihood functions for the models and estimate them on nielsen scanner data for detergent we find that the functional forms for experience and advertising effects that we derive from the bayesian learning framework fit the data very well relative to flexible ad hoc functional forms such as exponential smoothing and also perform better at out of sample prediction another finding is that in the context of consumer learning of product attributes although the forward looking model fits the data statistically better at conventional significance levels both models produce similar parameter estimates and policy implications our estimates indicate that consumers are risk averse with respect to variation in brand attributes which discourages them from buying unfamiliar brands using the estimated behavioral models we perform various scenario evaluations to find how changes in marketing strategy affect brand choice both in the short and long run a key finding obtained from the policy experiments is that advertising intensity has only weak short run effects but a strong cumulative effect in the long run the substantive content of the paper is potentially of interest to academics in marketing economics and decision sciences as well as product managers marketing research managers and analysts interested in studying the effectiveness of marketing mix strategies our paper will be of particular interest to those interested in the long run effects of advertising note that our estimation strategy requires us to specify explicit behavioral models of consumer choice behavior derive the implied relationships among choice probabilities past purchases and marketing mix variables and then estimate the behavioral parameters of each model such an estimation strategy is referred to as structural estimation and econometric models that are based explicitly on the consumer s maximization problem and whose parameters are parameters of the consumers utility functions or of their constraints are referred to as structural models a key benefit of the structural approach is its potential usefulness for policy evaluation the parameters of structural models are invariant to policy that is they do not change due to a change in the policy in contrast the parameters of reduced form brand choice models are in general functions of marketing strategy variables e g consumer response to price may depend on pricing policy as a result the predictions of reduced form models for the outcomes of policy experiments may be unreliable because in making the prediction one must assume that the model parameters are unaffected by the policy change since the agents in our models choose among many alternative brands their choice probabilities take the form of higher order integrals we employ monte carlo methods to approximate these integrals and estimate our models using simulated maximum likelihood estimation of the dynamic forward looking model also requires that a dynamic programming problem be solved in order to form the likelihood function for this we use a new approximation method based on simulation and interpolation techniques these estimation techniques may be of interest to researchers and policy makers in many fields where dynamic choice among discrete alternatives is important such as marketing decision sciences labor and health economics and industrial organization

a random coefficients logit brand choice model applied to panel data a random coefficients logit model that allows for unobserved heterogeneity in brand preferences and in the responses to marketing variables is empirically investigated using household level panel data the unknown underlying distribution of unobserved heterogeneity is approximated by a discrete distribution the results reveal that there is significant unobserved heterogeneity across households and that ignoring its effects results in a downward bias in the parameter estimates of the marketing variables it is therefore important to account for heterogeneity in both preferences and responses in the absence of any a priori knowledge about the nature of heterogeneity across households

retail competition and the dynamics of demand for tied goods we present a demand system for tied goods incorporating dynamics arising from the tied nature of the products and the stockpiling induced by storability and durability we accommodate competition across tied good systems and competing downstream retail formats by endogenizing the retail format at which consumers choose to stockpile inventory this facilitates measurement of long run retail substitution effects and yields estimates of complementarities within and substitution across competing systems of tied goods we present an empirical application to an archetypal tied goods category razors and blades we discuss the implications of measured effects for manufacturer pricing when selling the tied products through an oligopolistic downstream retail channel and assess the extent to which retail substitution reduces channel conflict

investigating heterogeneity in brand preferences in logit models for panel data in analyzing panel data the issue of heterogeneity across households is an important consideration if heterogeneity is present but is ignored in the analysis it will result in biased and inconsi

recruitment restrictions and labor markets evidence from the postbellum u s south this article studies the effect of recruitment restrictions on mobility and wages in the postbellum u s south i estimate the effects of criminal fines charged for enticement recruiting workers already under contract on sharecropper mobility tenancy choice and agricultural wages i find that a 13 10 increase in the enticement fine lowered the probability of a move by black sharecroppers by 12 daily wages by 1 cent 1 and the returns to experience for blacks by 0 6 per year these results are consistent with an on the job search model where the enticement fine raises the cost of recruiting an employed worker

removing heterogeneity bias from logit model estimation this paper introduces a new estimation procedure for the logit model that is an extension of a conditional estimation procedure developed by chamberlain chamberlain g 1978 on the use of panel data working paper harvard university 1 52 chamberlain g 1980 analysis of covariance with qualitative data rev econom stud 47 225 238 the method eliminates heterogeneity bias which is present in the estimates produced by traditional estimation techniques it improves the goodness of fit and explanatory power of these models while incorporating purchase event feedback

the effect of piracy on the market penetration of subscription software software piracy is not necessarily harmful to a software firm seeking to launch a new product when strategically managed through the use of price and protection measures piracy establishes the initial adopters of the software who in turn influence other users to buy the product we examine the role of piracy in affecting the adoption of subscription software products we present an individual level model in an adaptive population setting intended to determine the price protection mix that maximizes the discounted profit stream over the life of the software an extension for nonsubscription software is also discussed

inertia and variety seeking in a model of brand purchase timing previous research on state dependence indicates that a brand s purchase probabilities vary over time and depend on the levels of inertia and variety seeking and on the identity of the previously purchased brand brand choice probabilities obtained from models such as the logit and the probit are however fixed over time conditional on the previous brand purchased and on the levels of marketing variables consequently state dependence has largely been studied as a time invariant phenomenon in brand choice models with the levels of inertia and variety seeking assumed to be constant over time to account for the time varying nature of state dependence would require a model in which brand switching probabilities depend upon interpurchase times one modeling framework that can account for this dependence is based on the hazard function approach the proposed approach works as follows all other factors being equal an inertial household purchasing a brand on a particular occasion is most likely to repurchase that brand on the next occasion if the household switches it will be to a brand located perceptually close in attribute space to the previously purchased brand in other words an inertial household has the highest switching hazard for the same origin and destination brands with a progressively lower hazard rate for brands perceptually located farther and farther away from the origin brand the amount by which the hazard is lowered depends upon the perceptual distance and the inertia level of the household on the other hand if the household is variety seeking the most likely brand purchased would be a brand located farthest away from the previously purchased brand in attribute space in other words the hazard rate of repurchase is the lowest with the rate increasing with the distance of the destination brand from the origin brand and the level of that household s variety seeking tendency the effects of inertia and variety seeking are therefore incorporated at the attribute level into a brand purchase timing model in doing so we attempt to provide greater insight into the nature of state dependence in models of purchase timing our model and estimation procedure will enable us to distinguish between households that are inertial and those that are variety prone in addition to accounting for state dependence the model also accounts for the effects of unobserved heterogeneity among households in their brand preferences and in their sensitivities to marketing activities a majority of studies in marketing using the hazard function approach to investigate purchase timing have not accounted for heterogeneity in marketing mix effects the study integrates recent methods that incorporate the effects of inertia and variety seeking in brand choice models with a semi markov model of purchase timing and brand switching the proposed model enables us to 1 infer market structure via a perceptual map for the sample households and 2 investigate implications for the introduction of a line extension we provide empirical applications of the proposed method using three different household level scanner panel data sets we find that differing levels of inertia and variety seeking characterize the three data sets the findings are consistent with prior beliefs regarding these categories in addition our results indicate that the nature of interbrand purchase timing behavior depends upon the extent of inertia or variety seeking in the data we are also able to characterize the structure of the three product markets studied this provides implications for interbrand rivalry in the market further we demonstrate how the model and results can be used to predict the location of a line extension in the perceptual space of households finally we obtain implications for the timing of brand promotions

category pricing with state dependent utility there is substantial literature documenting the presence of state dependent utility with packaged goods data typically a form of brand loyalty is detected whereby there is a higher probability of purchasing the same brand as has been purchased in the recent past the economic significance of the measured loyalty remains an open question we consider the category pricing problem and demonstrate that the presence of loyalty materially affects optimal pricing the prices of higher quality products decline relative to those of lower quality when loyalty is introduced into the model given the well known problems with the confounding of state dependence and consumer heterogeneity loyalty must be measured in a model which allows for an unknown and possibly highly nonnormal distribution of heterogeneity we implement a highly flexible model of heterogeneity using multivariate mixtures of normals in a hierarchical choice model we use an euler equations approach to the solution of the dynamic pricing problem which allows us to consider a very large number of consumer types

modeling multiple sources of state dependence in random utility models a distributed lag approach we propose a utility theoretic brand choice model that accounts for four different sources of state dependence 1 effects of lagged choices structural state dependence 2 effects of serially correlated error terms in the random utility function habit persistence type 1 3 effects of serial correlations between utility maximizing alternatives on successive purchase occasions of a household habit persistence type 2 and 4 effects of lagged marketing variables carryover effects our proposed model also allows habit persistence to be a function of lagged marketing variables while accommodating the effects of unobserved heterogeneity in household choice parameters this model is more flexible than existing state dependence models in marketing and labor econometrics using scanner panel data we find structural state dependence to be the most important source of state dependence marketing mix elasticities are systematically understated if state dependence effects are incompletely accounted for the seetharaman and chintagunta 1998 model is shown to recover spurious variety seeking effects while overstating habit persistence effects ignoring habit persistence type 1 leads to an underestimation while ignoring habit persistence type 2 leads to an overestimation of structural state dependence effects we find lagged promotions to have carryover effects on habit persistence ignoring one or more sources of state dependence underestimates the total incremental impact of a sales promotion we draw implications for manufacturer pricing

choice map inferring a product market map from panel data this paper describes choice map a model that infers a product market map from panel data choice map is a stochastic brand choice model a random utility quantal choice model and a multidimensional scaling procedure choice map combines the parsimony of stochastic choice models the rationale of random utility models and the ability of multidimensional scaling procedures to simultaneously infer both brand positions and consumer preferences from preference choice data choice map assumes that consumers have stationary purchase probabilities for the observational period which makes the model best suited to frequently bought mature product categories neither experimental nor survey data are required traditional mapping methods that scale such data may not yield the same structure for low involvement products as will a procedure like choice map that scales behavioral data choice map s descriptive and predictive validity exceeds that of an alternative stochastic brand choice model the dirichlet multinomial for a test data set

a history of mechanization in the cotton south the institutional hypothesis the cotton south has always lagged behind the rest of american agriculture in the use and development of large scale machinery this paper formalizes an idea often found in the historical literature in loosely specified form which argues that the institutional structure of the southern plantation economy caused this technological inertia in particular the institutional hypothesis argues that the annual labor contracts used to secure plantation labor discouraged partial mechanization and inventive activity by redirecting the impact of higher labor costs away from the development and adoption of labor saving machinery and toward the adoption of small unmechanizable tenancies this hypothesis is modeled and supporting evidence is presented its larger implications are also discussed

state dependence and alternative explanations for consumer inertia for many consumer packaged goods products researchers have documented inertia in brand choice a form of persistence whereby consumers have a higher probability of choosing a product that they have purchased in the past using data on margarine and refrigerated orange juice purchases we show that the finding of inertia is robust to flexible controls for preference heterogeneity and not due to autocorrelated taste shocks thus the inertia is at least partly due to structural not spurious state dependence we explore three economic explanations for the observed structural state dependence preference changes due to past purchases or consumption experiences which induce a form of loyalty search and learning our data are consistent with loyalty but not with search or learning properly distinguishing among the dierent sources of inertia is important for policy analysis because the alternative sources of inertia imply qualitative dierences in firm s pricing incentives and lead to quantitatively dierent equilibrium

testing for choice dynamics in panel data this article applies different approaches to distinguish state dependence from unobserved heterogeneity and serial correlation and hence test for state dependence in consumer brand choices first we apply a simple method proposed by chamberlain which involves lagged exogenous variables only second we also estimate a lagged dependent variable specification proposed by wooldridge third we use the estimation approach suggested by wooldridge to estimate a model with both lagged dependent and exogenous variables to distinguish between the two different sources of choice dynamics state dependence and lagged effects of the exogenous variables our analysis reveals that the best approach is to use models with both lagged dependent and exogenous variables our findings include strong evidence for state dependence in five out of the six product categories studied in this article

competitive market structures a subset selection analysis market structure models are used to identify submarkets or to test for the presence of submarkets where within group competition is much stronger than across group competition the implicit assumption in such models is that the brands in a submarket compete on the basis of their shared product features however if significant variety seeking effect exist in the market such an assumption may not be valid we present a model based on a subset selection procedure for analyzing competitive market structures and develop tests of significance for variety seeking effects present in the market for each brand in the market the subset selection procedure identifies sets submarkets of brands that are in close competition the competitive market structure is defined by the possibly overlapping submarkets that are identified for each brand and the model provides insights on whether the brands in a submarket are of a reinforcing or a variety seeking kind the application of our model to two different consumer packaged goods markets highlights its contribution relative to extant methods

revisiting corporate growth options in the presence of state dependent cashflow risk abstract given a non trivial market price of risk we study the impact of state dependent cashflow risk on the optimal investment policy and on the ensuing value of an unlevered firm that holds the option of scaling up cashflows from its assets in place upon incurring an irreversible cost the firm s investment decision and value are studied as a function of the market price of risk and of the degree of state dependence in cashflow risk

going to extremes correcting simulation bias in exotic option valuation monte carlo simulation is widely used in practice to value exotic options for which analytical formulas are not available when valuing those options that depend on extreme values of the underlying asset convergence of the standard simulation is slow as the time grid is refined and even a daily simulation interval produces unacceptable errors this article suggests approximating the extreme value on a subinterval by a random draw from the known theoretical distribution for an extreme of a brownian bridge on the same interval this approach provides reliable option values and retains the flexibility of simulations in that it allows great freedom in choosing a price process for the underlying asset or a joint process for the asset price its volatility and other asset prices

dynamic labor force participation decisions of males in the presence of layoffs and uncertain job offers this paper presents a utility maximization model of workers who make decisions to work or not over a lifetime the objective is to maximize the presented discounted value of utility arising from the participation decisions in addition to duration dependence introduced through time variant job offer and layoff probabilities state dependence enters the model by the existence of a different risk while working namely the dismissal risk than the one while not working namely the possibility of no job offers a dynamic programming algorithm is solved and estimated within a maximum likelihood routine with data from the national longitudinal surveys youth cohort

parameter bias from unobserved effects in the multinomial logit model of consumer choice abstract over the past two decades validation of choice models has focused on predictive validity rather than parameter bias in real world validation of choice models true parameter values are unknown so examination of parameter bias is not possible in contrast the main focus of this study is parameter bias in simulated scanner panel choice data with known parameter values study of parameter bias enables the assessment of a fundamental issue not addressed in the choice modeling literature the extent to which the logit choice model is capable of distinguishing unobserved effects that give rise to persistence in observed choices e g heterogeneity and state dependence although econometric theory provides some information about the causes of bias the extent of such bias in typical scanner data applications remains unclear the authors present an extensive simulation study that provides information on the extent of bias resulting from the misspecification of four unobserved effects that receive fr

persistence of power elites and institutions we construct a model to study the implications of changes in political insti tutions for economic institutions a change in political institutions alters the distribution of de jure political power but creates incentives for investments in de facto political power to partially or even fully offset change in de jure power the model can imply a pattern of captured democracy whereby a democratic regime may survive but choose economic institutions favoring an elite the model provides conditions under which economic or policy outcomes will be invariant to changes in political institutions and economic institutions them selves will persist over time jel d02 d72 the domination of an organized minority over the unor ganized majority is inevitable the power of any minority is irresistible as against each single individual in the majority who stands alone before the totality of the organized minor ity at the same time the minority is organized for the very reason that it is a minority

identifying the hand of past distinguishing state dependence from heterogeneity a basic problem in social science is to ascertain the importance of initial endowments on subsequent outcomes of a dynamic process interest in this topic centers on two distinct issues a do initial endowments have a temporally persistent effect on outcomes i e is there heterogeneity b are the effects of initial endowments attenuated or accentuated by subsequent experiences of the process being studied or by related processes i e is there state dependence these two questions show up in a variety of contexts 1 the importance of family background on a person s subsequent education and earnings is a hotly debated topic do market or nonmarket mechanisms reinforce or diminish initial endowments 2 the incidence of criminal activity is concentrated among a small population of repeated offenders are certain persons prone to criminality or does crime breed crime 3 are persons who experience unemployment more likely to experience future unemployment due to loss of work experience or market stigma 4 does early entry into an industry confer an advantage of incumbency or does it merely proxy the basic managerial and innovative ability of early entrants many formal models of state dependent processes or processes with persistent effects of initial conditions have been formulated invariance of steady states to initial endowments was viewed as a desirable feature of an economic model in the 1960 s and 1970 s path dependent synergism and nonergodicity are fashionable features of models today is the choice between models with long run dependence on initial conditions and those without solely a matter of intellectual esthetics can data discriminate between these two classes of models how many economically extraneous statistical regularity conditions have to be imposed in order to distinguish between these models how many and what kind of maintained assumptions are required in order to let the data speak on these important questions in this paper i focus on one nonergodic model that receives much attention in the literature the model of duration dependence and heterogeneity discussed by herbert silcock 1954 and also examined by tony lancaster 1979 chris elbers and geert ridder 1982 myself and burton singer 1984 and myself and bo honore 1989

structural recovery of face value at default abstract we carefully study the transmission mechanisms from default free rates to corporate bond prices within structural models of endogenous default risk the transmission critically depends on whether the model is value based or cashflow based on the assumptions made for the drift of the state variable and on the way the residual value at default is shared among bondholders the recovery assumption is crucial recovery of face value which entails receiving the same share of residual value at default regardless of the remaining maturity greatly helps explaining the empirical evidence on bond price sensitivities to interest rates

health insurance for humans information frictions plan choice and consumer welfare traditional models of insurance choice are predicated on fully informed and rational consumers protecting themselves from exposure to financial risk in practice choosing an insurance plan is a complicated decision often made without full information in this paper we combine new administrative data on health plan choices and claims with unique survey data on consumer information to identify risk preferences information frictions and hassle costs our additional friction measures are important predictors of choices and meaningfully impact risk preference estimates we study the implications of counterfactual insurance allocations to illustrate the importance of distinguishing between these micro foundations for welfare analysis

a dynamic analysis of market structure based on panel data internal market structure analysis infers brand positions in an attribute space from preference and choice data given a market in which consumers have heterogeneous tastes for attributes previous market structure models have adopted a static framework e g elrod 1988 chintagunta 1994 elrod and keane 1995 furthermore they assumed that consumer perceptions of brand attributes do not vary across consumers yet these approaches may render inaccurate representations of market structure if there is state dependence in consumer choice behavior this paper attempts to incorporate consumer choice dynamics into market structure models by specifying the source of choice dynamics explicitly in particular the process by which past purchases affect current choices is modeled in a framework which captures both consumer habit persistence and variety seeking behavior more specifically consumer preferences for brand attributes are modeled to depend on the attributes of brands bought on the previous purchase occasion furthermore the modeling approach adopted incorporates heterogeneity in both consumer preferences and perceptions of brand attributes the audience of this paper includes practitioners and academics interested in understanding consumer choice processes and inferring market structure from consumer choice data the proposed models are estimated on nielsen scanner panel data for margarine peanut butter yogurt and liquid detergent using simulated maximum likelihood techniques the empirical results suggest that accounting for choice dynamics improves both in sample and out of sample fit the results indicate that the average consumer is habit persistent in all the product categories studied this result is consistent with the findings of kannan and sanchez 1994 who conducted an aggregate analysis of consumer variety seeking behavior across product categories however the results obtained in this paper suggest that consumers are heterogeneous with respect to the processes by which past purchases affect current purchases these results provide strong evidence for habit persistence and variety seeking in brand attributes to be the behavioral source of consumer choice dynamics in food categories thus consumer tastes utility weights seem to be affected by the attributes of the brands consumed in the past given the empirical result that a large proportion of consumers are habit persistent this suggests that tastes are reinforced by the brand attributes consumed in the past the empirical results also show that not accounting for state dependence in market structure models for panel data may produce misleading results that is depending on consumer behavior patterns models that do not account for state dependence may distort the true nature of competition among brands more specifically the results confirm the expectation that if there is habit persistence that is if consumer tastes are reinforced by attributes of brands consumed in the past models that do not capture this choice dynamics will overestimate the distance between similar brands furthermore the policy experiments conducted suggest that 1 static models overestimate the short run impact of a price cut on the sales of the brand on promotion 2 price cuts hurt the sales of the more similar brands more and 3 free samples affect relatively less similar brands the most finally this paper studies variety seeking and habit persistence across brands over purchase occasions however variety seeking behavior may also involve the purchase of a portfolio of brands or items at a purchase occasion consumers may buy multiple items knowing that prior to the next trip they may want to consume different items simanson 1990 walsh 1995 this type of behavior can be modeled within the context of dynamic expected utility maximization with forward looking consumers the development and estimation of market structure models that include forward looking consumers who maximize expected utility over a planning horizon incorporating their future tastes and needs and shopping for an inventory of brands remain an important future research issue

optimal priority structure capital structure and investment we study the interaction between financing and investment decisions in a dynamic model where the firm has multiple debt issues and equityholders choose the timing of investment jointly optimal capital and priority structures can virtually eliminate investment distortions because debt priority serves as a dynamically optimal contract examining the relative efficiency of priority rules observed in practice we develop several predictions about how firms adjust their priority structure in response to changes in leverage credit conditions and firm fundamentals notably financially unconstrained firms with few growth opportunities prefer senior debt while financially constrained firms with or without growth opportunities prefer junior debt moreover lower rated firms are predicted to spread priority across debt classes finally our analysis has a number of important implications for empirical capital structure research including the relations between market leverage book leverage and credit spreads and tobin s q the influence of firm fundamentals on the agency cost of debt and the conservative debt policy puzzle the author 2011 published by oxford university press on behalf of the society for financial studies all rights reserved for permissions please e mail journals permissions oup com oxford university press

capital structure debt maturity and stochastic interest rates this article develops a model in which optimal capital structure and debt maturity are jointly determined in a stochastic interest rate environment the model yields leverage ratios that are consistent in spirit with empirical observations the optimal maturity and credit spread of an optimally issued debt are found to be smaller than observed values the long run mean of the interest rate is found to be a key variable in determining optimal capital structure and debt maturity furthermore the interest rate volatility and the correlation between the interest rate and the firm s asset value play important roles in determining debt maturity

bounded rationality in pricing under state dependent demand do firms look ahead and if so how far the authors propose an empirical procedure to investigate the pricing behavior of manufacturers and retailers in the presence of state dependent demand rather than assuming that firms are perfectl

modeling heterogeneity and state dependence in consumer choice behavior in frequently purchased consumer goods markets consumer brand choices exhibit substantial persistence across purchase occasions in this article i estimate a choice model that admits of both heterogeneity in preferences and true state dependence as sources of this persistence using nielsen scanner data on ketchup i find evidence for true state dependence in the choice process even after controlling for a rich heterogeneity structure simulation of the model indicates that the long term effect of a promotion induced purchase on future purchase probabilities is positive but small

frictionless technology diffusion the case of tractors many new technologies display long adoption lags and this is often interpreted as evidence of frictions inconsistent with the standard neoclassical model we study the diffusion of the tractor in american agriculture between 1910 and 1960 a well known case of slow diffusion and show that the speed of adoption was consistent with the predictions of a simple neoclassical growth model the reason for the slow rate of diffusion was that tractor quality kept improving over this period and more importantly that only when wages increased did it become relatively unprofitable to operate the alternative laborintensive horse technology jel l62 n51 n52 n71 n72 o33 q11 understanding the determinants of the rate at which new technologies are created and adopted is a critical element in the analysis of growth even though modeling equilibrium technology creation can be somewhat challenging for standard economic theory understanding technology adoption should not be specifically once the technology is available the adoption decision is equivalent to picking a point on the appropriate isoquant dynamic considerations make this calculation more complicated but they still leave it in the realm of the neoclassical model a simple minded application of the theory of the firm suggests that profitable innovations should be adopted instantaneously or with some delay depending on various forms of cost of adjustment the evidence on the adoption of new technologies seems to contradict this prediction jovanovic and lach 1997 report that for a group of 21 innovations it takes 15 years for its diffusion to go from 10 percent to 90 percent the 10 90 lag they also cite the results of a study by grubler 1991 covering 265 innovations who finds that for most diffusion processes the 10 90 lag is between 15 and 30 years 1

a framework for investigating habits the hand of the past and heterogeneity in dynamic brand choice in this paper we develop a general class of dynamic brand choice models called lightning bolt lb models which are consistent with the theory of random utility maximization of consumer choice behavior the underlying random utility process is markov and the inter temporal evolution of the utility maximizing brand choice process is also markov the models permit parsimonious parameterizations of the random utility process in brand choices with the resulting switching probabilities being functionally related to explanatory variables the model allows for structural state dependence feedback habit persistence inertia and unobserved heterogeneity the theoretical development shows that several well known stochastic brand choice models can be deduced from random utility maximization theory from a managerial perspective the usefulness of the proposed model stems from its ability to separate out the effects of habits state dependence and heterogeneity strong state dependence effects imply incentives for inducing trial of a brand e g product sampling in contrast with state dependence a strong habit persistence effect may be indicative of buyer behavior where inducement of trial of a different brand may not be sufficient to maintain a sustained defection of the consumer from the habitually purchased brand to the trial brand failure to distinguish between these two effects has important implications for example a model that only accounts for state dependence effects would in the presence of only habit persistence incorrectly attribute it to state dependence based on this the manager could decide to embark on an expensive sampling program that might prove ineffective due to the absence of state dependence it is also important to distinguish between the effects of unobserved heterogeneity and state dependence in the absence of true state dependence failing to account for unobservable variations across households such as differences in price sensitivities results in the temporally persistent unobservable elements showing up as state dependence in the model hence a manager may incorrectly opt for sampling as the appropriate marketing action whereas a couponing or price promotion strategy should have been preferred we estimate the model parameters using the ac nielsen household scanner panel data set on catsup purchases further we investigate empirical techniques for overcoming the initial conditions problem that affects many dynamic models of brand choice through simulation analysis using the estimated parameters we show that the calculated profitability of a promotion must take into account the multi period impact due to state dependence further we demonstrate how ignoring heterogeneity can result in spurious state dependence thereby making marketing tactics such as product sampling appear far more attractive than they actually are specifically the model that accounts only for habit persistence and state dependence effects predicts a share increase of 2 4 points through sampling for one of the brands in the empirical analysis once the effects of unobserved heterogeneity are accounted for however this number drops precipitously to 0 3 while even this low number might fulfill the objectives of the brand manager it ensures that expectations are not eight times that number it is important to note that this paper is a first attempt at analyzing the three fundamental dimensions of dynamic brand choice behavior our formulation represents a reduced form approach as opposed to a structural approach other limitations of the model include our focus on time invariant choice sets extensions of the model to situations where choice sets vary over time are possible but are difficult another limitation is the dependence on multivariate extreme value distributions an alternative would be to use multivariate normal distributions i e a probit like structure which has certain useful properties a comparison of the two approaches would be useful empirical extensions of the model to allow for higher order processes and nested logit type model structures could also be fruitful explicitly incorporating variety seeking behavior in the model would further enrich the theoretical framework proposed in this paper

when the levee breaks black migration and economic development in the american south abstract in the american south postbellum economic development may have been restricted in part by white landowners access to low wage black labor this paper examines the impact of the great mississippi flood of 1927 on black out migration and subsequent agricultural development flooded counties experienced an immediate and persistent out migration of black population over time landowners in flooded counties modernized agricultural production and increased its capital intensity relative to landowners in nearby similar non flooded counties landowners resisted black out migration however benefiting from the status quo system of labor intensive agricultural production jel j15 j43 n32 n52 n92 q54 r23

the specification and estimation of dynamic stochastic discrete choice models a survey our main goal is to quantify the returns to a career in the united states congress we specify a dynamic model of career decisions of a member of congress and estimate this model using a newly collected dataset given estimates of the structural model we

assessing the effect of marketing investments in a business marketing context recent research has empirically characterized the buyer seller relationship as dynamically evolving from one discrete state to another conventional wisdom would suggest that a customer in a higher relationship state that has a higher transaction value would also have greater lifetime value to the firm however recent evidence suggests that higher relationship states can be ephemeral hence the link between transaction value and lifetime value is not obvious in this study we seek to understand within a specific empirical context i the relationship between a customer s transaction value and that customer s lifetime value and ii the relationship between the lifetime value of a customer and the optimal level of marketing activity that needs to be directed at that customer to this end we develop a trivariate tobit hidden markov model that allows for a transitions among relationship states b possible synergies between the various products that the supplier firm offers c endogeneity in marketing activity d heterogeneity in model parameters and e the presence of the no purchase option our results reinforce recent findings by schweidel et al schweidel d a e t bradlow p s fader 2011 portfolio dynamics for customers of a multiservice provider management sci 573 471 486 that higher relationship states can be short lived importantly for the supplier firm a customer in the highest relationship state in a given period does not yield the highest lifetime value to the firm hence the relationship between transaction value i e relationship state and lifetime value can be nonmonotonic at the same time we also find a nonmonotonic relationship between the optimal expenditures that should be directed at a customer and that customer s lifetime value i e the optimal level of marketing contacts is not the highest for customers with the highest lifetime value furthermore we find that the optimal marketing expenditures for myopic agents are 14 33 lower than the corresponding values for forward looking agents therefore not accounting for the long term effects of marketing contacts would lead to suboptimal marketing budgets moreover a comparison with the current marketing expenditures suggests that the current practice is closer to the myopic policy than to the forward looking one

price dispersion in duopolies with heterogeneous consumers abstract in this paper i modify varian s varian h r 1980 a model of sales american economic review 70 4 651 659 model of sales to allow for heterogeneity in consumer preferences i show that in mixed strategy equilibria each firm charges a finite number of prices using this characterization i examine the effect of consumer heterogeneity on firms optimal pricing strategies

observed and unobserved preference heterogeneity in brand choice models this paper extends the scanner based choice literature by explicitly incorporating individual level brand preference data we illustrate our model using a unique data set that combines survey and scanner data collected from the same individuals the addition of individual specific brand preference information significantly improves fit and prediction furthermore this observed heterogeneity better explains choice than does unobserved heterogeneity in the standard scanner model s parameters more importantly we find that the standard model underestimates the importance of consumers brand preferences and overestimates both brand loyalties and price sensitivities brand loyalty is overestimated because models without preference information confound state dependence heterogeneity and preference effects price sensitivities are inflated because the average preference based consumer is implicitly assumed to be more willing to switch from his preferred brand than is the real preference based consumer further standard models overestimate the heterogeneity in price and loyalty sensitivities and misidentify both price and loyalty sensitive consumers the managerial implications of our findings and the applicability of our methodology when survey data are collected infrequently and for only a subsample of consumers are pursued we demonstrate that even under these circumstances better populationwide pricing and promotion decisions are identified and more accurate targeting results

uncertainty and stepwise investment we analyze the optimal investment strategy of a firm that can complete a project either in one stage at a single freely chosen time point or in incremental steps at distinct time points the presence of economies of scale gives rise to the following trade off lumpy investment has a lower total cost but stepwise investment gives more flexibility by letting the firm choose the timing individually for each stage our main question is how uncertainty in market development affects this trade off the answer is unambiguous and in contrast with a conventional real options intuition higher uncertainty makes the single stage investment more attractive relative to the more flexible stepwise investment strategy

an alternative explanation for lower repeat rates after promotion purchases several authors have observed that average repeat rates are lower after a promotion purchase one interpretation of this result is that a media coupon or cents off promotion undermines the consumer

estimating the impact of consumer expectations of coupons on purchase behavior a dynamic structural model we examine the basic premise that consumers may anticipate future promotions and adjust their purchase behavior accordingly we develop a structural model of households who make purchase decisions to minimize their expenditure over a finite period the model allows for future expectations of promotions to enter the purchase decision households with adequate inventory of the product may face a trade off of buying in the current period with a coupon or defer the purchase until next period given their expectations of future promotions thus we provide a framework for examining the impact of consumer expectations on choice behavior the target audiences for our paper are a empirical researchers who intend to make structural models part of their applied research agenda and b managers who value and seek to understand the impact of consumers coupon expectations on current purchase behavior our research objective is to provide an empirical framework to examine whether and to what extent consumers anticipate future coupon promotions and adjust purchase behavior the central premise of our approach is that a rational consumer minimizes the present discounted value of the cost of a purchase where cost in a single period consists of purchase price inventory holding cost gains from coupons and potential stockout cost we aim to test whether our hypotheses regarding the various elements of the cost structure are supported and that whether consumers take into account future discounted cost when making current purchase decisions the research methodology we adopt is relatively new in econometrics and known as the estimable stochastic structural dynamic programming method the methodology amounts to incorporating a maximum likelihood routine embedded in a dynamic programming problem the dynamic programming problem is solved several times within a maximum likelihood iteration for each value of the state space elements and for each value of the parameters in the parameter set the state space in our model consists of purchase and nonpurchase alternatives in each time period coupon availability and no coupon availability in each time period level of inventory in each time period for each household and consumption rate of each household we use scanner panel data on purchases in the disposable diaper product category and promotions we estimate the inventory holding and stockout costs brand specific value of coupons and consumers expectations of future coupons the key insights and lessons learned can be summarized as follows 1 our results are consistent with the notion that consumers hold beliefs about future coupons and that such beliefs affect the purchase decision we find that the dynamic optimization model performs significantly better than a single period optimization model and a naive benchmark model 2 we find a high and significant stockout cost consistent with the essential nature of the product category our estimate of the holding cost yields a reasonable annualized percentage value when converted to the cost of capital we find that consumer valuation of coupons differ markedly across brands 3 our empirical evidence supports the notion that consumers hold beliefs about future coupon availability we also find that the expectations about future coupons estimated endogenously differ depending upon whether or not a coupon was available in the current period thus the proposed model structure yields rich managerial insights and facilitates several what if scenarios a possible limitation of our model and estimable structural models in general is the computational cost while it is possible to conceptually extend the state space to accommodate variations across households and add a richer parameter structure each addition multiplies the size of the state space and the computation time for this reason we have kept the state space as tight as possible and refrained from additions that would otherwise enable us to incorporate heterogeneity in consumer decisions for example we assumed that consumers are similar other than reflected by their purchase behavior we built a category purchase incidence model rather than a brand choice model we refrained from including unobserved heterogeneity in the parameters we chose to opt out of modeling autocorrelation and other time dependent error term patterns in the likelihood function thus we have made an effort to build a structural model that reasonably reflects consumer purchase behavior without requiring expensive computation currently there are developments in econometrics to approximate the computation of the valuation functions without sacrificing much accuracy when these methods are well developed we expect that structural models will become more commonplace in marketing

evaluating corporate bonds with complicated liability structures and bond provisions this paper presents a general and numerically accurate lattice methodology to price risky corporate bonds it can handle complex default boundaries discrete payments various asset sales assumptions and early redemption provisions for which closed form solutions are unavailable furthermore it can price a portfolio of bonds that accounts for their complex interaction whereas traditional approaches can only price each bond individually or a small portfolio of highly simplistic bonds because of the generality and accuracy of our method it is used to investigate how credit spreads are influenced by the bond provisions and the change in a firm s liability structure due to bond repayments

accounting for heterogeneity and nonstationarity in a cross sectional model of consumer purchase behavior when calibrating a brand choice model cross sectionally a measure of brand loyalty is often introduced into the utility function to account for differences in utility across households and over time one of the most widely used measures of brand loyalty proposed by guadagni and little 1983 is an exponential smoothing model of past choice behavior by the household in this study we argue that the exponential smoothing model of brand loyalty cannot properly distinguish between sources of variation in utility due to heterogeneity across households and sources of variation due to nonstationarity within household over time we introduce a new measure of brand loyalty derived from a nonstationary dirichlet multinomial choice model in which heterogeneity and nonstationarity are handled distinctly

rational habit formation abstract this paper discusses consumer demand under rational habit formation if consumer tastes change endogenously through habit stocks depending on past consumption the rational consumer will make allowance of the future habit forming effects of current consumption a model with rational habit formation is made formally equivalent to an intertemporal consumer model without habit formation by redefining the cost of consumption and wealth the cost of consumption is obtained by adding the cost of future induced consumption to the rental price of the commodity the extended wealth concept is obtained by subtracting the cost of the initial stocks of habits and the cost of future physically necessary consumption from wealth the paper also investigates the implication of rational habit formation for constructing one period cost of living indices

flexibility in consumer purchasing for uncertain future tastes consumers often simultaneously purchase multiple units in the same product category whether they are best off purchasing an assortment of alternatives or an equal number of one alternative is addressed in this paper models of an expected utility maximizing consumer are developed and it is shown that an assortment may have greater expected utility than an equal number of any one alternative the rationale is that the assortment allows the consumer to choose from inventory the alternative most appropriate for a consumption occasion using preference information not available at the purchase occasion it is also shown that when consuming alternatives from inventory the consumer may forego the alternative offering the most utility in the expectation that it will yield even more utility in the future

consumer learning brand loyalty and competition in several markets consumers can gain further information regarding how well a product fits their preferences only by experiencing it after purchase this could then generate loyalty for the products tried first this paper considers a model in which consumers learn in the first period about the product they buy and then make choices in the second period about the competing products given what they learned in the first period the paper finds that if the distribution of valuations for each product is negatively positively skewed a firm benefits is hurt in the future from having a greater market share today the brand loyalty characteristic with negative skewness two effects are identified on one hand marginal forward looking consumers are less price sensitive than myopic consumers and this is a force toward higher prices on the other hand forward looking firms realize that they gain in the future from having a higher market share in the current period and compete more aggressively in prices for similar discount factors for consumers and firms the latter effect dominates the paper also characterizes the importance of consumer learning effects on the market outcome

a simple model of deferred callability in defaultable debt abstract banks and other financial institutions issue hybrid capital as part of their risk capital hybrid capital has no maturity but similarly to most corporate debt includes an embedded issuer s call option to obtain acceptance as risk capital the first possible exercise date of the embedded call is contractually deferred by several years generating a protection period we value the call feature as a european option on perpetual defaultable debt we do this by first modifying the underlying asset process to incorporate a time dependent bankruptcy level before the expiration of the embedded option we identify a call option on debt as a fixed number of put options on a modified asset which is lognormally distributed as opposed to the market value of debt to include the possibility of default before the expiration of the option we apply barrier options results the formulas are quite general and may be used for valuing both embedded and third party options all formulas are developed in the seminal and standard black scholes merton model and thus standard analytical tools such as the greeks are immediately available

adverse selection and inertia in health insurance markets when nudging hurts this paper investigates consumer inertia in health insurance markets where adverse selection is a potential concern we leverage a major change to insurance provision that occurred at a large firm to identify substantial inertia and develop and estimate a choice model that also quantifies risk preferences and ex ante health risk we use these estimates to study the impact of policies that nudge consumers toward better decisions by reducing inertia when aggregated these improved individual level choices substantially exacerbate adverse selection in our setting leading to an overall reduction in welfare that doubles the existing welfare loss from adverse selection jel d82 g22 i13 a number of potential impediments stand in the way of efficient health insur ance markets the most noted of these is adverse selection first studied by akerlof 1970 and rothschild and stiglitz 1976 in insurance markets prices reflect the expected risk costs of the insured pool whether the reason is price regulation or private information when insurers cannot price all risk characteristics riskier consumers choose more comprehensive health plans this causes the equilibrium prices of these plans to rise and healthier enrollees to select less comprehensive coverage than they would otherwise prefer

neural antecedents of a random utility model abstract for over a decade economists have sought to identify neural antecedents for economic theories more recently neuroeconomic work has sought to predict consumer choice using brain activations witnessed in non choice visual appraisals this paper combines these two emerging strains of inquiry using functional magnetic resonance imaging fmri data observed when consumers view a quality differentiated food product labeled with different attributes we seek to determine the predictive validity of the random utility model rum often used in economic studies of consumer choice our fmri data consist of changes in blood flow to the ventromedial prefrontal cortex a brain region previously associated with value formation observed when people saw low price and high labels and labels indicating high or low quality we couple the fmri data with data on 28 non hypothetical choices made by each participant which pitted higher priced higher quality good vs a lower priced lower quality good we find little evidence of a systematic difference in activation in brain areas thought to be associated with value formation when viewing high vs low levels of attributes prices and quality however differences in neural blood flow across participants related to quality but not price is significantly related to subsequent consumer choice both in and out of sample providing some qualified neuroeconomic support for the attribute based rum

search and choice in online consumer auctions price dispersion in simultaneous online auctions is a puzzle in light of the relatively low search costs required to find the lower price much of this price dispersion appears to be due to a lack of switching by bidders between auctions which in turn could be due to inertia related to search costs we identify some of the influencing factors through a controlled field experiment involving pairs of simultaneous auctions keeping the sellers and the goods sold identical between two auctions we vary auction design features between and within pairs including shipping cost open reserve secret reserve price and duration and we provide bidders with incentives to search we use a choice model that examines individual choice between pairs of simultaneous auctions we find that within pair price dispersion is substantial and that prices and auction choice by bidders are indeed related to search costs we find strong inertia in auction choice and find that this effect significantly interacts with time left in the auction although individuals do not always choose a lower priced auction they are more likely to do so when search costs are low or search incentives are high

default and liquidation timing under asymmetric information abstract we consider a dynamic model in which shareholders delegate the running of a firm to a manager who observes private information about the firm s running and liquidation costs we analytically derive the optimal compensation scheme contingent on the firm s cost structure information asymmetries can change the high cost firm s bankruptcy choice and timing most notably even if the liquidation value is higher than the face value of debt the high cost firm can choose default rather than liquidation to reduce the manager s information rent this can lead to the counterintuitive result that the debt value increases beyond the face value as the firm approaches default and that it jumps upward at the default time information asymmetries accelerate negative liquidation and delay positive liquidation whereas they accelerate default the optimal leverage ratio of the asymmetric information case becomes higher than that of the symmetric information case because more debt mitigates the loss due to information asymmetries our results can potentially account for many empirical findings

price competition in markets with consumer variety seeking we investigate price competition between firms in markets characterized by consumer variety seeking while previous research has addressed the effect of consumer inertia on prices there exists no research on the effects of variety seeking on price competition our study fills this gap in the literature using a two period duopoly framework as in klemperer s analysis of inertial markets we show that the noncooperative pricing equilibrium in a market with consumer variety seeking may be the same as the collusive outcome in an otherwise identical market without variety seeking specifically our variety seeking model implies tacit collusion between firms in both periods unlike the inertia model of klemperer that implies tacit collusion between firms only in the second period but implies fierce price competition in the first period when consumers are assumed to have rational expectations about future prices the implied first period prices increase further which is consistent with what klemperer finds in an inertial market to summarize while our variety seeking analyses support two key results pertaining to second period prices and rational expectations previously derived for inertial markets by klemperer they depart from one key result pertaining to first period prices

a dynamic model of rational addiction evaluating cigarette taxes addiction creates an intertemporal link between a consumer s past and present decisions altering their responsiveness to price changes relative to nonaddictive products we construct a dynamic model of rational addiction and endogenous consumption to investigate how consumers respond to policy interventions that aim to reduce purchases of cigarettes we find that on average the category elasticity is about 35 higher when the model correctly accounts for addiction however some policies spur substitution from more expensive single packs to less expensive cartons of cigarettes resulting in higher overall consumption for some consumers

a probit model of choice dynamics there are many products which are repeatedly purchased by consumers in such cases it is likely that choice history that is the sequence of choices made in the past as well as marketing variables affect subsequent choice decisions attempts to model the effects of choice history have been generally based on the inclusion of variables that represent brand loyalty and or variety seeking behavior in this paper we present a model of dynamic choice behavior which is more general and incorporates four characteristics the first characteristic labeled preference reinforcement and preference reduction represents loyalty and variety seeking the second is the short term reluctance of a consumer to move from the current brand inertia or the willingness to move to another brand mobility the third characteristic captures the effect of repetitive consumption the long term effect on inertia and mobility the fourth characteristic incorporates the similarity or dissimilarity of choice alternatives this is important in a dynamic model because choice on the current purchase occasion can be affected by whether a similar or dissimilar alternative was chosen on the previous occasion similarities of alternatives are represented in terms of distances the effect of price on choice behavior is also modeled individual level purchase data from a consumer panel are used to estimate a covariance probit and an independent probit specification of the model from a substantive perspective the model gives interesting insights into the dynamics of choice behavior the model predicts switches better than a benchmark model which incorporates only loyalty in addition it is superior to three benchmark models in overall predictive ability

price uncertainty and consumer search a structural model of consideration set formation we offer an econometric framework that models consumer s consideration set formation as an outcome of her costly information search behavior because frequently purchased products are characterized by frequent price promotions of varying depths of discounts a consumer faces significant uncertainty about the prices of the brands the consumers engage in a fixed sample search strategy that results in their discovering the posted prices of a subset of the available brands this subset is referred to as the consumer s consideration set the proposed model is estimated using the scanner data set for liquid detergents our key empirical results are i consumers zincur significant search costs to discover the posted prices of the brands ii whereas in store displays and feature ads do not influence consumers quality perceptions of the brands they significantly reduce search costs for observing the prices of the brands iii per capita income of consumer s household significantly increases her search costs and iv the consumers price sensitivity is seriously underestimated if we were to assume that consumers get to know all the posted prices at zero cost the proposed model is also estimated for the ketchup category to enable us to do cross category comparisons of consumers price search behavior

the persistence and change of institutions in the americas though many empirical and theoretical approaches to comparative development assume that institutions persist for long periods of time specific institutions vary a lot over periods as long as a century therefore a convincing theory of institutional persistence must explain how persistence of institutional equilibria and accompanying incentive environment is consistent with changes in specific institutions in this paper we propose a simple explanation of how economic institutions may persist even when political institutions change and illustrate it with the economic history of the u s south and some examples from latin american history

understanding reference price shoppers a within and cross category analysis abstract the authors attempt to draw profiles of reference price shoppers specifically the authors study how selected factors that affect brand choice are correlated with consumer sensitivity to gains and losses with respect to internal reference prices they also study the interaction between sociodemographics and gain and loss sensitivity furthermore the authors analyze cross category correlations in gain and loss sensitivity to shed light on their individual and category specific characters in three categories the results show significant heterogeneity in loss sensitivity among consumers and indicate that loss sensitivity is greater and more heterogeneous than gain sensitivity across categories the results show that loss sensitive shoppers are less influenced by past brand use and that both loss and gain sensitive shoppers more sensitive to price display and feature than the average consumer loss sensitive households tend to be larger and their heads are less likely to be fully employed