decomposing promotional effects with a dynamic structural model of flexible consumption abstract in this article the authors offer a methodology to decompose the effects of price promotions into brand switching stockpiling and change in consumption by explicitly allowing for consumer heterogeneity in brand preferences and consumption needs they develop a dynamic structural model of a household that decides when what and how much to buy as well as how much to consume to maximize its expected utility over an infinite horizon by making certain simplifying assumptions the authors reduce the dimensionality of the problem they estimate the proposed model using household purchase data in the canned tuna and paper towels categories the results from the model offer insights into the decomposition of promotional effects into its components this could help managers make inferences about which brand s sales are more responsive to stockpiling or increase in consumption expansion and how temporary price cuts affect future sales contrary to previous literature the authors find that brand swi

structural workshop paper discrete choice models of consumer demand in marketing marketing researchers have used models of consumer demand to forecast future sales to describe and test theories of behavior and to measure the response to marketing interventions the basic framework typically starts from microfoundations of expected utility theory to obtain an econometric system that describes consumers choices over available options and to thus characterize product demand the basic framework has been augmented significantly to account for quantity choices to accommodate purchases of several products on a single purchase occasion multiple discreteness and multicategory purchases and to allow for asymmetric switching between brands across different price tiers these extensions have enabled researchers to bring the analysis to bear on several related marketing phenomena of interest this paper has three main objectives the first objective is to articulate the main goals of demand analysis forecasting measurement and testing and to highlight several considerations associated with these goals our second objective is to describe the main building blocks of individual level demand models we discuss approaches built on direct and indirect utility specifications of demand systems and we review extensions that have appeared in the marketing literature the third objective is to explore a few emerging directions in demand analysis including considering demand side dynamics combining purchase data with primary information and using semiparametric and nonparametric approaches we hope researchers new to this literature will take away a broader perspective on these models and see the potential for new directions in future research

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

short run needs and long term goals a dynamic model of thirst management beverage consumption occurs many times a day in response to short run needs that fluctuate we develop a model in which consumers are heterogeneous in self regulating consumption by balancing short run needs e g hydration and mood with long term goals e g health the model has two novel features 1 utility depends on the match between occasion specific needs and product attributes and 2 dynamics of consumption and stockpiling are at the level of product attributes we estimate the model using unique intraday beverage consumption activity and psychological needs data we find that only a third of individuals do not self regulate of the two thirds who self regulate over 40 self regulate adaptively based on past choice whereas 25 self regulate both adaptively and anticipating future needs our attribute need match model enables us to assess unmet demand for new products with attributes that match co occurring occasion specific needs specifically we find that a product satisfying a combination of health hydrating needs expands overall beverage consumption by as much as 5 our framework of modeling heterogeneity in self regulation by balancing short run needs with long term goals is more broadly applicable in contexts where situational needs vary and long term effects are gradual and hard to discern e g nutrition smoking and preventive health care

capture and governance at local and national levels 135 despite the importance of this issue not much systematic research appears to have been devoted to assessing the relative susceptibility of national and local governments to interestgroup capture here we describe a model of two party electoral competition with probabilistic voting behavior and lobbying by specialinterest groups based on david baron 1994 and gene grossman and elhanan helpman 1996 that helps identify determinants of relative capture at different levels of government these include relative levels of voter awareness and interest group cohesiveness electoral uncertainty electoral competition heterogeneity of districts with respect to inequality and the electoral system while some of these uphold the traditional madisonian presumption others are likely to create a tendency for lower capture at the local level so the net effect is theoretically ambiguous this suggests that the extent of relative capture may be context specific and needs to be assessed empirically

ethnic discrimination and the migration of skilled labor we develop a model of interdependency between emigration education investment and discrimination in the context of an ethnically divided developing economy assuming a rent extraction basis for discrimination we first endogenize ethnic discrimination in the benchmark case of an economy closed to migration and then explore how migration prospects affect ethnic inequality under the free migration assumption we find the intuitive result that migration prospects have a protective effect on the minority immigration restrictions set by receiving countries on the other hand have the paradoxical effect of creating migration flows that would otherwise have remained latent

a global assessment of human capital mobility the role of non oecd destinations discussions of high skilled mobility typically evoke migration patterns from poorer to wealthier countries which ignore movements to and between developing countries this paper presents for the first time a global overview of human capital mobility through bilateral migration stocks by gender and education in 1990 and 2000 and calculation of nuanced brain drain indicators building on newly collated data the paper uses a novel estimation procedure based on a pseudo gravity model then identifies key determinants of international migration and subsequently uses estimated parameters to impute missing data non oecd destinations account for one third of skilled migration while oecd destinations are declining in relative importance

do migrants improve governance at home evidence from a voting experiment can international migration promote better institutions at home by raising the demand for political accountability a behavioral measure of the population s desire for better governance was designed to examine this question a postcard was distributed to households promising that if enough postcards were mailed back results from a survey module on perceived corruption would be published in the national media data from a tailored household survey were used to examine the determinants of this behavioral measure of demand for political accountability undertaking the costly action of mailing the postcard and to isolate the positive effect of international emigration using locality level variation the estimated effects are robust to the use of instrumental variables including past migration and macro shocks in the destination countries the estimated effects can be attributed mainly to migrants who immigrated to countries with better governance especially migrants who return home

decentralizing antipoverty program delivery in developing countries we study the effects on accountability in government service delivery of decentralizing administration of an antipoverty program while governments at both central and local levels are vulnerable to antipoor policy biases owing to political capture centralized delivery systems are additionally prone to bureaucratic corruption owing to problems in monitoring bureaucratic performance decentralizing the delivery system promotes cost effectiveness and improves intraregional targeting at low program scales but interregional targeting may deteriorate as central grants to high poverty regions shrink owing to high capture of local governments by local elites in such regions

modeling consumer demand for variety consumers are often observed to purchase more than one variety of a product on a given shopping trip the simultaneous demand for varieties is observed not only for packaged goods such as yogurt or soft drinks but in many other product categories such as movies music compact disks and apparel multinomial mn choice models cannot be applied to data exhibiting the simultaneous choice of more than one variety the random utility interpretation of either the mn logit or probit model uses a linear utility specification that cannot accommodate interior solutions with more than one variety alternative chosen to analyze data with multiple varieties chosen requires a nonstandard utility specification standard demand models in the economics literature exhibit only interior solutions we propose a demand model based on a translated additive utility structure the model nests the linear utility structure while allowing for the possibility of a mixture of corner and interior solutions where more than one but not all varieties are selected we use a random utility specification in which the unobservable portion of marginal utility follows a log normal distribution the distribution of quantity demanded the basis of the likelihood function is derived from these log normal random utility errors the likelihood function for this class of models with mixtures of corner and interior solutions is a mixed distribution with both a continuous density portion and probability mass points for the corners the probability mass points must be calculated by integrals of the log normal errors over rectangular regions we evaluate these high dimensional integrals using the ghk approximation we employ a bayesian hierarchical model allowing household specific utility parameters our utility specification related to the approach of wales and woodland 1983 who employ a translated quadratic utility function wales and woodland were only able to study at the most three varieties because there was no practical way to evaluate the utility function at that time in addition the quadratic utility specification is not a globally valid utility function making welfare computations and policy experiments questionable hendel 1999 and dube 1999 present an alternative approach in the utility function which is constructed by summing up over unobservable consumption occasions while only one variety is consumed on each occasion the marginal utilities of varieties change over the consumption occasions giving rise to a simultaneous purchase of multiple varieties our bayesian inference approach allows us to obtain individual household estimates of utility parameters household utility estimates are used to compute the value of each variety we compute a compensating value for the removal of each flavor that is we compute the monetary equivalent of the household s loss in utility from removal of a flavor these calculations show that households highly value popular flavors and would incur substantial utility losses from removal of these flavors from the yogurt assortment next we consider the implications of our model for retailer assortment and pricing policies given limited shelf space only a subset of the possible varieties can be displayed for purchase at any one time if consumers value variety then a retailer with lower variety must compensate the consumers in some way such as a lower price level we see this trade off between price and variety across different retailing formats discount or warehouse format retailers often have both lower variety and lower prices to measure this trade off we explore the utility loss from reduction in variety and find the reductions in price that will compensate for this utility loss these price reduction calculations must be based on a valid utility structure heterogeneity in tastes is critical in these utility computations and policy experiments we find that a relatively small fraction of households with extreme preferences dominate the compensating value computations that is some households are observed to purchase mostly or exclusively one variety these households must be heavily compensated for the removal of this variety from the assortment in some retailing contexts customization of the assortment is possible at the customer level we show that such customization virtually eliminates any utility loss from reduction in variety

brain drain and economic growth theory and evidence we focus on the impact of migration prospects on human capital formation and growth in a small open developing economy we assume that agents are heterogeneous in skills and take their educational decisions in a context of uncertainty regarding future migrations we distinguish two growth effects an ex ante brain effect migration prospects foster investments in education because of higher returns abroad and an ex post drain effect because of actual migration flows the case for a beneficial brain drain bbd emerges when the first effect dominates i e when the average level of human capital is higher in the economy opened to migrations than in the closed economy we derive the theoretical conditions required for such a possibility to be observed using cross section data for 37 developing countries we find that the possibility of a bbd could be more than a theoretical curiosity

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

on the distribution of education and democracy this paper empirically analyzes the influence of education on democracy by controlling for unobservable heterogeneity and by taking into account the persistency of some of the variables the most novel finding is that an increase in the education attained by the majority of the population is what matters for the implementation and sustainability of democracy rather than the average years of schooling we show this result is robust to issues pertaining omitted variables outliers sample selection or a narrow definition of the variables used to measure democracy

corruption and the costs of redistribution micro evidence from indonesia this paper examines the degree to which the corruption in developing countries may impair the ability of governments to redistribute wealth among their citizens specifically i examine a large antipoverty program in indonesia that distributed subsidized rice to poor households i estimate the extent of corruption in the program by comparing administrative data on the amount of rice distributed with survey data on the amount actually received by households the central estimates suggest that on average at least 18 of the rice appears to have disappeared ethnically heterogeneous and sparsely populated areas are more likely to be missing rice using conservative assumptions for the marginal cost of public funds i estimate that the welfare losses from this corruption may have been large enough to offset the potential welfare gains from the redistributive intent of the program these findings suggest that corruption may impose substantial limitations on developing countries redistributive efforts and may help explain the low level of transfer programs in developing countries d 2005 elsevier b v all rights reserved

immigrant links to the home country empirical implications for u s bilateral trade flows immigrants ties to their home countries can play a key role in fostering bilateral trade linkages immigrant ties include knowledge of home country markets language preferences and business contacts that have the potential to decrease trading transaction costs empirical results for the united states suggest that immigrant links have historically been important in increasing bilateral trade flows with immigrants home countries copyright 1994 by mit press

can a brain drain be good for growth in the source economy this paper analyzes the interaction between income distribution human capital accumulation and migration it shows that when migration is not a certainty a brain drain may increase average productivity and equality in the source economy even though average productivity is a positive function of past average levels of human capital in an economy it is also shown how the temporary possibility of emigration may permanently increase the average level of productivity of an economy

brain drain taxes for non benevolent governments abstract this paper investigates the welfare effects of brain drain taxes levied by non benevolent governments whereby a country collects a tax from skilled emigrants but potentially wastes a sizable portion of the revenue using a model in which taxes are chosen to maximize expected political rents i show that the availability of a brain drain tax increases a weighted sum of citizen utilities however the government s optimal brain drain tax is found to be higher than the level that maximizes this weighted sum in another model a brain drain tax is found to be desirable when governments use public good expenditures to compete for mobile residents

media monitoring and capture of public funds evidence from madagascar summary this paper investigates the role of media and monitoring in reducing capture we analyze data on capture of public expenditures by local officials in madagascar our findings indicate important constraints on decentralization of public service delivery in particular in remote areas capture could be successfully constrained through a combination of media programs and monitoring intensive monitoring and access to media reduce capture however the impact of media is conditional on characteristics of the population with high illiteracy in poor regions the effectiveness of newspaper and poster campaigns is limited and radio and television programs are more important to reduce capture

valuing new goods in a model with complementarity online newspapers many important economic questions hinge on the extent to which new goods either crowd out or complement consumption of existing products recent methods for studying new goods rule out complementarity by assumption so their applicability to these questions has been limited i develop a new model that relaxes this restriction and use it to study competition between print and online newspapers using new micro data from washington dc i estimate the relationship between the print and online papers in demand the welfare impact of the online paper s introduction and the expected impact of charging positive online prices

estimating multiple discrete choice models an application to computerization returns buyers in many markets face multiple discrete choices they can purchase multiple units as well as multiple brands at the same time this paper presents a multiple discrete choice model for the analysis of differentiated products demand users maximize profits by choosing the number of units of each brand they purchase i estimate the model using micro level data on the demand for personal computers i use the estimated demand structure to assess the welfare gains from computerization and technological innovation in peripherals the estimated return on investment in personal computers is 92 moreover a 10 increase in the performance to price ratio of microprocessors leads to a 2 2 gain in the estimated user surplus the personal computer pc market is of interest to industrial organization economists because of its size the continual technological change and above all because of the farreaching implications of pcs on the economy as a whole several distinct features make pc demand difficult to model pcs are a differentiated durable good in constant technological evolution moreover buyers make multiple discrete choices firms according to our data spread their purchases of pcs over different brands at the same time they buy pcs in blocks several units of each brand that they have chosen the aim of the paper is to present a model that captures these features and to use this model to estimate the welfare gains from computerization classical discrete choice models allow one choice among mutually exclusive alternatives in contrast the proposed framework allows users to demand multiple units and multiple brands the model can be applied to other cases of multiple discrete choices e g the composition of airline fleets car holdings per household the fields of the faculty in economics departments household cereals consumption or any other good consumed in more than one variety during a relevant time period although pervasive multiple discrete choice problems have received little attention because of their complexity a central issue regarding the pc market is the current controversy in the economics literature about the computerization puzzle this puzzle stems from the empirical finding that computerization has had no effect on firm productivity griliches and siegel 1991 and morrison and berndt 1990 contrary to those results hendel 1994 and lichtenberg 1995 using more disaggregate data than most previous studies report excess returns to computerization this indicates that data aggregation may have created the computerization puzzle in this paper i present a model consistent with the basic

globalization brain drain and development this paper reviews four decades of economics research on the brain drain with a focus on recent contributions and on development issues we first assess the magnitude intensity and determinants of the brain drain showing that brain drain or high skill migration is becoming a dominant pattern of international migration and a major aspect of globalization we then use a stylized growth model to analyze the various channels through which a brain drain affects the sending countries and review the evidence on these channels the recent empirical literature shows that high skill emigration need not deplete a country s human capital stock and can generate positive network externalities three case studies are also considered the african medical brain drain the exodus of european scientists to the united states and the role of the indian diaspora in the development of india s information technology sector we conclude with a discussion of the implications of the analysis for education immigration and international taxation policies in a global context

government and economic growth in the less developed countries an empirical study for 1960 1980 adam smith founded modern economics with a powerful argument that free markets are the best route to prosperity and economic growth his conclusion has been studied and debated by economists ever since including nobel prize winners friedman hayek kuznets lewis myrdal and schultz whatever economists have concluded since world war ii the majority of the less developed countries seem to have opted for extensive government regulation of the private sector and for a large public sector has the large government role slowed or accelerated the growth of ldcs obviously this is an important issue this study looks at government expenditure revenue raising and regulation greater emphasis is put on expenditure because 1 the revenue raised is presumably a function of the level of expenditure and 2 there are few internationally comparable measures of regulation there are virtually no empirical studies of the general impact of government on economic growth an extensive literature search turned up only three papers gemmell analyzed the impact of nonmarket sector growth on various measures of macroeconomic performance for 27 ldcs and developed countries for 1960 and 1970 he drew no general conclusions about the relation between the size of the nonmarket sector and economic growth marsden found a negative relation between tax gdp ratios and economic growth for a cross section of 20 ldcs and developed countries for the 1970 79 period 2 i found a negative relationship between the share of government consumption expenditure in gdp and the growth of per capita gdp for a cross section of 96 ldcs and developed countries over various time periods between 1961 and 1976 3 this paper extends the approach used in my 1983 article

estimating a continuous hedonic choice model with an application to demand for soft drinks using micro level scanner data i study empirically the consumer demand for soft drinks which is characterized by multiple product multiple unit purchasing behavior i develop a continuous hedonic choice model to investigate how consumers choose the best basket of products to satisfy various needs my model s embedded characteristics approach both helps to reduce the dimensionality problem in model estimation and generates flexible substitution patterns hence the model is useful in application to data with many product choices that are correlated with each other at the individual level the estimation results show that interesting substitutability and even a form of complementarity exist among soft drinks

missing public funds and targeting performance evidence from an anti poverty transfer program in indonesia abstract this paper investigates how failing to consider missing funds in public resource delivery can lead to misleading conclusions on the nature and correlates of targeting performance combining administrative data on disbursement and household survey data on receipt under indonesia s anti poverty program inpres desa tertinggal idt we find that only 69 of disbursements were actually received by the intended beneficiaries when these missing funds are ignored the distribution of idt benefits is pro poor and better targeting is found in districts with higher per capita expenditure however when the missing funds are taken into account the distribution of idt benefits in fact becomes less pro poor than universal equal distribution and better targeting is correlated with a higher proportion of female village heads and a higher level of villagers human capital these results underscore the importance of considering the size and allocation of missing funds in the analysis of targeting in public resource delivery

do prices and attributes explain international differences in food purchases food purchases differ substantially across countries we use detailed household level data from the united states france and the united kingdom to i document these differences ii estimate a demand system for food and nutrients and iii simulate counterfactual choices if households faced prices and nutritional characteristics from other countries we find that differences in prices and characteristics are important and can explain some difference e g united states france difference in caloric intake but generally cannot explain many of the compositional patterns by themselves instead it seems an interaction between the economic environment and differences in preferences is needed to explain cross country differences jel d12 i12 l11 l66 q11 food purchases differ across countries within countries over time and across demographic groups these differences seem to be correlated with rates of excess weight gain and diet related illness economists tend to attribute the difference in food purchases across markets to differences in prices an alternative explanation is that they are due to inherent differences in preferences and eating habits in this article we study the differences in food purchases and nutritional outcomes across countries focusing on the united states united kingdom and france we start by systematically documenting the differences in food purchases for consumption at home between the united states united kingdom and france we show that us households purchase different foods from french and uk households for example us households purchase more calories per person a greater percentage of those calories comes in the form of carbohydrates and a lower share in the form of proteins a higher share of expenditure is on drinks and prepared foods and

investigating consumers purchase incidence and brand choice decisions across multiple product categories a theoretical and empirical analysis we propose a framework to investigate consumers brand choice and purchase incidence decisions across multiple categories where both decisions are modeled as an outcome of a consumer s basket utility maximization we build the model from first principles by theoretically explicating a general model of basket utility maximization and then examining the reasonable restrictions that can be placed to make the solution tractable without sacrificing its flexibility comparing with prior models we show why prior multicategory purchase incidence models overemphasize the role of the cross effects of a market mix of brands in other categories on the purchase incidence decision of a given category additionally we show that prior single category models are a special case of the proposed model when further restrictions are placed on the basket utility structure we estimate the model on household basket data for the laundry family of categories we show i why prior single category and multicategory models would systematically bias the estimates of the own and cross price promotional purchase incidence elasticities and ii how the market mix of each brand in each category affects the purchases across all categories which can help retailers make promotional decisions across a portfolio of products

local capture evidence from a central government transfer program in uganda according to official statistics 20 percent of uganda s total public expenditure was spent on education in the mid 1990s most of it on primary education one of the large public programs was a capitation grant to cover schools nonwage expenditures using panel data from a unique survey of primary schools we assess the extent to which the grant actually reached the intended end user schools the survey data reveal that during 1991 1995 the schools on average received only 13 percent of the grants most schools received nothing the bulk of the school grant was captured by local officials and politicians the data also reveal considerable variation in grants received across schools suggesting that rather than being passive recipients of flows from the government schools use their bargaining power to secure greater shares of funding we find that schools in better off communities managed to claim a higher share of their entitlements as a result actual education spending in contrast to budget allocations is regressive similar surveys in other african countries confirm that uganda is not a special case

the power of information in public services evidence from education in uganda in this paper we argue that innovations in governance of social services are an effective way to improve outcomes such as attainment of universal primary education to test this hypothesis we explo

demand for carbonated soft drinks implications for obesity policy this article examines consumer choices of carbonated soft drinks csds and their implications for obesity policy demand in relation to product and consumer heterogeneity is estimated via a random coefficients logit model berry et al 1995 applied to quarterly scanner data for 26 brands in 20 us cities involving 40 000 consumers counterfactual experiments show that caloric taxes could be effective in decreasing caloric csd consumption though having little impact on obesity incidence

emigration and democracy migration is an important yet neglected determinant of institutions this paper documents the channels through which emigration affects home country institutions and considers dynamic panel regressions for a large sample of developing countries the authors find that emigration and human capital both increase democracy and economic freedom this implies that unskilled skilled emigration has a positive ambiguous impact on institutional quality simulations show an impact of skilled emigration that is generally positive significant for a few countries and for many countries once incentive effects of emigration on human capital formation are accounted for

poverty dominant program reforms the role of targeting and allocation rules we propose simple graphical methods to identify poverty reducing marginal reforms of transfer programs the methods are based on program dominance curves that display cumulative program benefits weighted by powers of poverty gaps these curves can be decomposed simply as sums of targeting dominance curves and allocation dominance ones and can serve to verify whether the assessment of marginal program reforms is sensitive to the choice of poverty lines and poverty measures as well as to differences across programs in revenue sources and incentive effects

patents as options some estimates of the value of holding european patent stocks in many countries holders of patents must pay an annual renewal fee in order to keep their patents in force this paper uses data on the proportion of patents renewed and the renewal fees faced by post world war ii cohorts of patents in france the united kingdom and germany in conjunction with a model of patent holders renewal decisions to estimate the returns earned from holding patents in these countries since patents are often applied for at a nearly stage in the innovation process the model allows agents to be uncertain about the sequence of returns that will be earned if the patent is kept inforce formally then the paper presents and solves a discrete choice optimal stochastic control model derives the implications of the model on aggregate behaviour and then estimates the parameters of the model from aggregate data the estimates enable a detailed description of the evolution of the distribution of returns earned from holding patents over their life spans and calculations of both the annual returns earned from holding the patents still in force or the patent stocks in the alternative countries and the distribution of the discounted value of returns earned from holding the patents in a cohort this abstract was borrowed from another version of this item

tv advertising spillovers and demand for private labels the case of carbonated soft drinks the expansion of private labels or store brands has transformed consumer choice sets and competition in retail markets prompting manufacturers to fight back with renewed pricing and product and promotion strategies to forestall further private label expansion this article examines the spillover effects of television advertising on brand level consumer demand for carbonated soft drinks csds including private labels using a random coefficients logit model with household purchasing and advertising viewing nielsen data as in previous work we find that although brand spillover effects significantly increase demand for csd brands in the same company and undermine demand facing other manufacturers csd brands surprisingly there are positive spillover effects on the demand for private label brands this indicates that brand advertising is persuasive with respect to manufacturers brands but complementary with respect to private labels further results show that eliminating television advertising for c

multiple discreteness and product differentiation demand for carbonated soft drinks for several of the largest supermarket product categories such as carbonated soft drinks canned soups ready to eat cereals and cookies consumers regularly purchase assortments of products within the category consumers often purchase multiple products and multiple units of each alternative selected on a given trip this multiple discreteness violates the single unit purchase assumption of multinomial logit and probit models the misspecification of such demand models in categories exhibiting multiple discreteness would produce incorrect measures of consumer response to marketing mix variables in studying product strategy these models would lead to misleading managerial conclusions we use an alternative microeconomic model of demand for categories that exhibit the multiple discreteness problem recognizing the separation between the time of purchase and the time of consumption we model consumers purchasing bundles of goods in anticipation of a stream of consumption occasions before the next trip we apply the model to a panel of household purchases for carbonated soft drinks