optimal dynamic pricing of inventories with stochastic demand over finite horizons in many industries managers face the problem of selling a given stock of items by a deadline we investigate the problem of dynamically pricing such inventories when demand is price sensitive and stochastic and the firm s objective is to maximize expected revenues examples that fit this framework include retailers selling fashion and seasonal goods and the travel and leisure industry which markets space such as seats on airline flights cabins on vacation cruises and rooms in hotels that become worthless if not sold by a specific time we formulate this problem using intensity control and obtain structural monotonicity results for the optimal intensity resp price as a function of the stock level and the length of the horizon for a particular exponential family of demand functions we find the optimal pricing policy in closed form for general demand functions we find an upper bound on the expected revenue based on analyzing the deterministic version of the problem and use this bound to prove that simple fixed price policies are asymptotically optimal as the volume of expected sales tends to infinity finally we extend our results to the case where demand is compound poisson only a finite number of prices is allowed the demand rate is time varying holding costs are incurred and cash flows are discounted the initial stock is a decision variable and reordering overbooking and random cancellations are allowed

efficient diversification according to stochastic dominance criteria this paper develops the first operational tests of portfolio efficiency based on the general stochastic dominance sd criteria that account for an infinite set of diversification strategies the main insight is to preserve the cross sectional dependence of asset returns when forming portfolios by reexpressing the sd criteria int dimensional euclidean space with elements representing rates of return int different states of nature we characterize subsets of this state space that dominate a given evaluated return vector by first and second order sd this allows us to derive simple sd efficiency measures and test statistics computable by standard mathematical programming algorithms the sd tests and efficiency measures are illustrated by an empirical application that analyzes industrial diversification of the market portfolio

price trends and dynamic pricing in perishable product market consisting of superior and inferior firms abstract we consider the problem of a firm that sells perishable products with a dynamic pricing scheme in the presence of a firm offering a superior product we provide a probabilistic characterization of the optimal price process under the existence of such a firm for an aggregate demand model and for a multinomial logit demand model our results demonstrate that if the seller takes the price of the other firm into account in their optimal policy then the optimal price process tends to increase over time before the inventory level falls to one after which it decreases otherwise the price process decreases and then increases this path is called a j shaped curve before the inventory level falls to one if the price of the other firm is relatively low and the customer s valuation remains unchanged over time early in the sales period we also demonstrate numerically that when the firm uses a monopolistic policy and the difference in service quality between the two firms is large the switching time between the downward and upward trends takes place in the early stage of the sales period and in particular this j shaped phenomenon is strongly observed

stakeholders perceptions of corporate social reporting in bangladesh recent calls in the corporate social reporting csrep literature have emphasized the importance of giving voice to non managerial stakeholder groups in the social reporting process the research presented in this paper employs recent work in stakeholder theory and csrep to examine the perceptions of a diverse set of non managerial stakeholders in the context of a developing country bangladesh a series of semi structured interviews were conducted with individuals who identify with various non managerial stakeholder groups interviewees generally believed that the motivation and practice of csrep in bangladesh is developing in response to pressures from international markets and is producing largely cosmetic responses also they expressed concerns that given the economic political and social conditions in bangladesh premature adoption of strict csrep standards may lead to increased corruption and other unintended consequences whilst some of the interviewees sharply criticized the current process of imposing social accounting codes standards on developing countries which fail to consider the important local socio economic context the findings suggest that there is overwhelming support for mandatory externally verified csrep based on the principles of peoples right to know full disclosure completeness and relevance which are anchored in the broader principles of transparency and stakeholder accountability 2010 springer science business media b v

the contained rivalry requirement and a triple feature program for business ethics this paper proposes a description of the moral obligations of economic agents it will show that a threefold division should be adopted to distinguish moral obligations applying to their interactions in the market obligations applying to their interactions inside business firms and obligations applying to their interactions with agents outside the market competition might be permissible in the first case since markets are special patterns of social interactions called adversarial schemes they produce their benefits when agents try to satisfy exclusive preferences at the expense of others however moral obligations inside the firm and moral obligations outside the market are of a different nature this argument will be developed in the two first parts of this paper in the third part it will outline the relevant strengths of that account in relation with two popular views of economic agents moral obligations the shareholder primacy view and the stakeholder theory

foundations of dynamic monopoly and the coase conjecture subgame perfect equilibria are characterized for a market in which the seller quotes a price each period assume zero costs positive interest rate continuum of buyers and some technical conditions if buyers valuations are positive then equilibrium is unique buyers strategies are stationary and the price sequence is determinant along the equilibrium path but possibly randomized elsewhere otherwise a continuum of stationary equilibria can exist but at most one with analytic strategies coase s conjecture is verified for stationary strategies reducing the period length drives all prices to zero or the least valuation connections to bargaining models are described journal qf economic literature classification

dynamic pricing behavior in perishable goods markets evidence from secondary markets for major league baseball tickets sellers of perishable goods increasingly use dynamic pricing strategies as technology makes it easier to change prices and track inventory this paper tests how accurately theoretical models of dynamic pricing describe sellers behavior in secondary markets for event tickets a classic example of a perishable good it shows that the simplest dynamic pricing models describe very accurately both the pricing problem faced by sellers and how they behave explaining why sellers cut prices dramatically by 40 percent or more as an event approaches the estimates also imply that dynamic pricing is valuable raising the average seller s expected payoff by around 16 percent

demand uncertainty and sales a study of fashion and markdown pricing the theory of clearance sales is expanded and applied to explain why markups markdowns and the frequency of sales of merchandise sold by department stores have increased dramatically in recent years and why they differ across merchandise groups tha major theme of the paper is that the growing role of fashion and product variety is an important reason for these increases and for the differences between merchandise groups the growing importance of fashion is illustrated by documenting the declining use of whites and the increasing use of colors and prints estimates of the effects of imports and technological and demographic changes on markups and markdowns are presented copyright 1988 by american economic association

has ryanair s pricing strategy changed over time an empirical analysis of its 2006 2007 flights abstract this paper analyzes the question of whether ryanair s pricing strategies have changed over time we create a panel dataset of fares for all of ryanair s european flights over a two year period from 1 january 2006 to 31 december 2007 we calculate the average fare over a 90 day period prior to departure and the intensity of dynamic pricing for each flight in the panel in particular analysing the changes in these variables observed between pairs of equivalent flights our results show that overall both average fares and the intensity of dynamic pricing decreased in 2007 more than one third of flights saw a price reduction of more than 10 now that it has become the dominant low cost carrier in europe ryanair appears to be softening its dynamic pricing activities on existing routes typically employed to stimulate additional touristic demand thus booking in advance becomes relatively more expensive

portfolio choice and trading volume with loss averse investors this paper presents a model of portfolio choice and stock trading volume with lossaverse investors the demand function for risky assets is discontinuous and non monotonic as wealth rises beyond a threshold investors follow a generalized portfolio insurance strategy this behavior is consistent with the evidence in favor of the disposition effect in addition loss averse investors will not hold stocks unless the equity premium is quite high the elasticity of the aggregate demand curve changes substantially depending on the distribution of wealth across investors in an equilibrium setting the model generates positive correlation between trading volume and stock return volatility but suggests that this relationship should be non linear

i don t want to be green prosocial motivation effects on firm environmental innovation rejection decisions although the political and consumer consciousness has turned increasingly green many firms continue to resist the adoption of environment friendly technological innovations even in the face of higher costs negative health effects and stricter government oversight this article examines how business owners weigh the trade offs associated with environment friendly innovations by examining the role of prosocial motivation in their decision making process we use primary data to overcome a common restriction in studying environmental innovations the scarcity of relevant data to analyze how business owners expectations perceptions and motivations affect innovation in organizational processes and consequently the level of environmental friendliness of their products or services we found that prosocial motivation had a significant negative impact on innovation adoption and that it is expressed differently under high and low levels of customer compatibility possibly because business owners have a larger number of competing social objectives and priorities our results further showed that the innovation s ability to satisfy downstream customer demands has the greatest impact on environment friendly innovation adoption decisions by business owners this study enhances our understanding of how business owners make innovation decisions based on competing business environmental and social objectives and provides a foundation for future research in this area

a model of dynamic limit pricing with an application to the airline industry we develop a dynamic limit pricing model where an incumbent repeatedly signals information relevant to a potential entrant s expected profitability the model is tractable with a unique equilibriu

efficient barriers to trade a sequential trade model with heterogeneous agents abstract this paper studies the choice of tariffs and other type of consumption taxes and subsidies in a flexible price version of the prescott prescott edward c 1975 efficiency of the natural rate journal of political economy 83 1229 1236 hotels model it is shown that a country with unstable demand may benefit from a tariff on imports more surprisingly the exporting country may also benefit from the tariff in general i consider the problem of a world planner who chooses country specific consumption taxes and subsidies i show that buyers in countries that tend to consume relatively more in the high demand state should be taxed and buyers in countries that tend to consume relatively more in the low demand state should be subsidized

systematic peak load pricing congestion premia and demand diverting empirical evidence abstract this paper finds empirical support to systematic peak load pricing in airlines higher fares in ex ante known congested periods it estimates a congestion premia and supports the main empirical prediction in gale and holmes gale i holmes t 1993 advance purchase discounts and monopoly allocation of capacity american economic review 83 135 146 less discount seats on peak flights

intergenerational mobility in britain in this paper we use longitudinal data on children and their parents to assess the extent of intergenerational mobility in britain based on data from the national child development survey a cohort of all individuals born in a week of march 1958 we find that the extent of intergenerational mobility is limited we report an intergenerational correlation of the order 40 to 60 for fathers and sons and 45 to 70 for fathers and daughters in terms of labour market earnings and years of schooling an examination of quartile transition matrices between parental and child earnings outcomes reveals a similar pattern finally it seems on the basis of these transition matrices that there is an important asymmetry in intergenerational earnings mobility with upward mobility from the bottom of the earnings distribution being more likely than downward mobility from the top

price dispersion and demand uncertainty evidence from u s scanner data i use the prescott 1975 hotels model to explain variations in price dispersion across items sold by supermarkets in chicago the effect of demand uncertainty on price dispersion is highly significant and quantitatively important my estimates suggest that more than 40 of the cross sectional standard deviation of log prices is due to demand uncertainty i also find that price dispersion measures are negatively correlated with the average price but are not negatively correlated with the revenues from selling the good across stores and weeks and with the number of stores that sell the good temporary sales are modeled as a reaction to unwanted inventories that are accumulated when the realization of demand is low the effect of demand uncertainty on the frequency of temporary sales is also highly significant and quantitatively important items with more demand uncertainty tend to accumulate unwanted inventories more often and tend to have temporary sales more often

retail pricing and clearance sales sellers of new products are faced with having to guess demand conditions to set price appropriately but sellers are able to adjustprice over time and to learn from past mistakes additionally it is not necessary that all goods be sold with certainty it is sometimes better to set a high price and to risk no sale this process is modeledto explain retail pricing behavior and the time distribution of transactions prices start high and fall as a function of time on theshelf the initial price and rate of decline can be predicted and depends on thinness of the market the proportion of customers who are window shoppers and other observable characteristics copyright 1986 by american economic association

revenue management with forward looking buyers a seller wishes to sell multiple goods by a deadline for example the end of a season potential buyers enter over time and can strategically time their purchases each period the profit maximizing mechanism awards units to the buyers with the highest valuations exceeding a sequence of cutoffs we show that these cutoffs are deterministic depending only on the inventory and time remaining in the continuous time limit the optimal mechanism can be implemented by posting anonymous prices when incoming demand decreases over time the optimal cutoffs satisfy a one period look ahead property and prices are defined by an intuitive differential equation

does competition reduce price dispersion new evidence from the airline industry we analyze the effects of competition on price dispersion in the airline industry using panel data from 1993 q1 through 2006 q3 competition has a negative effect on price dispersion in line with the textbook treatment of price discrimination this effect is pronounced for routes with consumers characterized by relatively heterogeneous elasticities of demand on routes with a homogeneous customer base the effects of competition on price dispersion are smaller our results contrast with those of borenstein and rose who found that price dispersion increases with competition we reconcile the different results by showing that the cross sectional estimator suffers from omitted variable bias

price discrimination in the airline market the effect of market concentration we test the hypothesis that price discrimination increases with competition in the airline market using a large cross section of tickets offered by several carriers on various routes we approximate price discrimination with marginal implicit prices of ticket restrictions that carriers typically use to price discriminate saturday night stayover re quirements and advanced purchase discounts we find that the restrictions are associated with lower airfares but that the discounts are smaller on routes with higher market concentration the results suggest that price dispersion attributed to ticket restrictions increases as markets becomemore competitive

multivariate stochastic volatility via wishart processes financial models for asset and derivatives pricing risk management portfolio optimization and asset allocation rely on volatility forecasts time varying volatility models such as generalized autoregressive conditional heteroscedasticity and stochastic volatility svol have been successful in improving forecasts over constant volatility models we develop a new multivariate svol framework for modeling financial data that assumes covariance matrices stochastically varying through a wishart process in our formulation scalar variances naturally extend to covariance matrices rather than to vectors of variances as in traditional svol models model fitting is performed using markov chain monte carlo simulation from the posterior distribution because of the model s complexity an efficiently designed gibbs sampler is described that produces inferences with a manageable amount of computation our approach is illustrated on a multivariate time series of monthly industry portfolio returns a test of the ec

durable goods monopoly with varying demand this paper solves for the proflt maximising strategy of a durable goods monopolist when incoming demand varies over time each period additional consumers enter the market these consumers can then choose whether and when to purchase we flrst characterise the consumer s utility maximisation problem and under a monotonicity condition show the proflt maximising allocation can be solved through a myopic algorithm which has an intuitive marginal revenue interpretation consumers ability to delay creates an asymmetry in the optimal price path which exhibits fast increases and slow declines this asymmetry pushes the price level above that charged by a flrm facing the average level of demand applications of this framework include deterministic demand cycles one ofi shocks and iid demand draws the optimal policy outperforms renting and can be implemented by a time consistent best price provision

the impact of dynamic price variability on revenue maximization abstract the objective of this article is to analyze the effect of dynamic price variability on revenue maximization while dynamic pricing is a common practice in tourism this is the first comprehensive study on the relationship between price variability and revenue maximization within the framework provided by the literature on intertemporal price discrimination price fairness inventory controls and organizational culture this research proposes and applies a new hedonic revenue model on a sample of 21 687 observations the findings suggest that higher dynamic price variability leads to higher hotel revenues strategic room unavailability and review rating also exert a clear positive revenue impact overall the benefits from charging different prices for the same service intertemporal price discrimination and limiting the number of units available before the demand is known inventory control outweigh the potential negative effects of price unfairness and organizational culture the paper concludes by providing actionable levers for hospitality managers

using yield management to shift demand when the peak time is unknown traditional peak load and stochastic peak load models assume firms have prior information about when peak demand occurs however price dispersion such as is typically used by firms practicing yield management can achieve some of the same efficient demand shifting even when the peak time is unknown equilibrium price dispersion arises because of stochastic demand and price rigidities but a previously unexplored benefit of price dispersion is its ability to reduce equilibrium capacity costs through demand shifting the model also suggests how yield management now more commonly called revenue management might actually benefit business travellers contrary to the popular prejudice

book value intertemporal pricing and quality discrimination in the us market for books abstract publishers produce books in hardcover and paperback versions with different prices and time of market introduction analysis of detailed book level data reveals that i price cost differentials cannot be explained by cost differences making this an example of quality discrimination ii market introduction time strongly affects sales suggesting that time is the crucial dimension of discrimination and iii there is substantial price rigidity across books and over time prices depend on cost shifters but not on demand shifters i discuss an explanation for this last finding in terms of the nature of demand in this market

monopoly with incomplete information recent theoretical research on principal agent relationships has emphasized incentive problems that arise when the parties involved are constrained by either asymmetric information or their inability to monitor each other s actions here we concentrate on the former constraint and consider the case of a single principal the monopolist the main contribution is to show that under a separability assumption strong conclusions can be drawn about the nature of optimal incentive schemes although the primary focus is on optimal quantity discounts in a monopolized market the results also shed light on related topics such as optimal income taxation and commodity bundling

low cost airlines and online price dispersion abstract this paper presents a new form of online pricing tactic where airlines post at the same time and for the same flight fares in different currencies that violate the law of one price unexpectedly for an online market price dispersion may be accompanied by a hidden discount that tends to persist in the period preceding a flight s departure the econometric analysis reveals that airlines post dispersive fares in less competitive routes with more heterogeneous demand furthermore temporal persistence of intra firm fare dispersion suggests that it is an equilibrium phenomenon engendered by the airlines need to manage stochastic demand conditions for a specific flight

dynamic pricing advance sales and aggregate demand learning in airlines this paper uses a unique u s airlines panel data set to empirically study the dynamic pricing of inventories with uncertain demand over a finite horizon i estimate a dynamic pricing equation and a dynamic demand equation that jointly characterize the adjustment process between prices and sales as the flight date nears i find that the price increases as the inventory decreases and decreases as there is less time to sell consistent with aggregate demand learning and price adjustment demand shocks have a positive and much larger effect on prices than the positive effect of anticipated sales

the variability of aggregate demand with s s inventory policies this paper develops a general theory of the aggregate implications of s s inventory policies it is shown that s s policies add to the variability of demand with the variance of orders exceeding the variance of sales overall the s s theory contradicts the widely held notion that retail inventories act as a buffer protecting manufacturers from fluctuating sales in 1951 arrow harris and marschak 3 introduced the s s form of inventory policy the policies are designed for retailers of finished goods who face economies of scale when placing orders with their suppliers to pursue an s s inventory policy the retailer establishes a lower stock point s and an upper stock point s no order is placed until inventories fall to s or below whereupon they are restored to the maximum of s a general proof of the optimality of these s s inventory policies was provided by scarf 13 at the microeconomic level the model has been extensively investigated formulae are available to compute optimal policies e g ehrhardt 6 and these policies are xidely used in industry e g schwartz ed 14 in addition the model has been extended to increasingly complex demand environments e g karlin and fabens 11 in contrast little is known about the macroeconomic implications of s s policies several recent papers have begun to correct this deficiency akerlof has suggested that pursuit of constant threshold money holding policies of the s s variety might be responsible for the observed low short run income elasticity of the demand for money akerlof 1 and akerlof and milbourne 2 in the operations research literature ehrhardt schultz and wagner 7 analyzed the demand environment of a wholesaler supplying several retailers they required that the distinct retailers have independent sales ruling out the analysis of common factors in sales finally simulation results of blinder 4 suggested a role for the s s model in understanding retail sector inventories however the theoretical difficulties with the model remained unresolved blinder commented if firms have a technology that makes the s s rule optimal aggregation across firms is inherently difficult indeed it is precisely this difficulty which has prevented the s s model from being used in empirical work to date blinder 4 p 459 in this paper we present a general theory of the aggregate implications of s s policies our central finding is that s s policies add to the variability of demand with the variance of orders exceeding the variance of sales this result holds even in the presence of common factors in retail sales in addition a close connection

empirical tests for stochastic dominance efficiency we derive empirical tests for the stochastic dominance efficiency of a given portfolio with respect to all possible portfolios constructed from a set of assets the tests can be computed using straightforward linear programming bootstrapping techniques and asymptotic distribution theory can approximate the sampling properties of the test results and allow for statistical inference our results could provide a stimulus to the further proliferation of stochastic dominance for the problem of portfolio selection and evaluation using our tests the fama and french market portfolio is significantly inefficient relative to benchmark portfolios formed on market capitalization and book to market equity ratio

an optimally viable version of stakeholder theory this article is the final one in a series of four papers investigating the stakeholder approach to running businesses it argues that the optimally viable version of that approach is one in which employees have a co equal status as stakeholders with shareholders the maximum allowed for under stakeholder theory while other groupings only have a minimal status as stakeholders and are generally restricted to just customers suppliers and lenders this version is argued for on the grounds that it both overcomes the implementation problems attendant upon having to serve the interests of a range of groupings and is justified in terms of stakeholder membership being confined to those groupings with a claim on the services of a business in virtue of directly contributing to its economic functioning the ranking of non shareholder stakeholders in the recommended version and in particular the maximal ranking granted to employees is argued to reflect the scale of the various contributions as measured by the degree to which making it exposes those stakeholders to both financial risk and a non financial work related risk peculiar to employees it is concluded that although this is the best available version of the stakeholder approach it may not be the best of all possible ways of running a business

stochastic dominance and expected utility survey and analysis while stochastic dominance has been employed in various forms as early as 1932 it has only been since 1969 1970 that the notion has been developed and extensively employed in the area of economics finance agriculture statistics marketing and operations research in this survey the first second and third order stochastic dominance rules are discussed with an emphasis on the development in the area since the 1980s

periodic pricing of seasonal products in retailing this paper studies intertemporal pricing policies when selling seasonal products in retail stores we first present a continuous time model where a seller faces a stochastic arrival of customers with different valuations of the product for this model we characterize the optimal pricing policies as functions of time and inventory we use this model as a benchmark against which we compare more realistic models that consider periodic pricing reviews we show that the structure of the optimal pricing policies in this case is consistent with the procedures observed in practice retail stores successively discount the product during the season and promote a liquidation sale at the end of the planning horizon we also show that the loss experienced when implementing periodic pricing reviews instead of continuous policies is small when the appropriate number of reviews is chosen several interesting economic insights emerge from our analysis for example uncertainty in the demand for new products leads to higher prices larger discounts and more unsold inventory finally we study the effect of announced discount policies on prices and profits we show that stores that have adopted this type of strategy usually set prices such that with high probability the merchandise is sold during the first periods and the largest discounts rarely take place

a taxonomy and research overview of perishable asset revenue management yield management overbooking and pricing this paper proposes the term perishable asset revenue management to denote the field that combines the areas of yield management overbooking and pricing for perishable assets after summarizing the characteristics common to problems in this field the paper discusses the objectives and constraints faced by decision makers then it offers a comprehensive taxonomy with 14 different elements and reviews the research that has been done related to each element finally it suggests some important areas of future research that can help bridge the gap between theory and application

shareholder theory and kant s duty of beneficence this article draws on the moral philosophy of immanuel kant to explore whether a corporate duty of beneficence to non shareholders is consistent with the orthodox shareholder theory of the firm it examines the ethical framework of milton friedman s argument and asks whether it necessarily rules out the well being of non shareholders as a corporate objective the article examines kant s distinction between duties of right and duties of virtue the latter including the duty of beneficence and investigates their consistency with the shareholder theory the article concludes that it is possible within the ethical framework of shareholder theory for managers to pursue directly the happiness of non shareholders furthermore shareholders have a duty to hold management to account for the moral consequences of the firm s activities on non shareholding stakeholders

combined effects of capacity and time on fares insights from the yield management of a low cost airline abstract based on two strands of theoretical research this paper provides new evidence on how fares are jointly affected by in flight seat availability and purchasing date as capacity based theories predict it emerges that fares monotonically and substantially increase with flight occupancy after controlling for capacity utilization our analysis also supports time based theories indicating a u shaped temporal profile over a two month booking period as well as a sharp increase in fares in the two weeks prior to departure

switching regression models with imperfect sample separation information with an application on cartel stability an exogenous switching regression model with imperfect reginme classificationi information is specified and applied to a study of cartel stability an efficient estimation method is proposed which takes this imperfect information into account the consequences of misclassification are analyzed the direction of the least squares bias is derived an optimal regime classification rule is obtained and compared theoretically and empirically with other classification rules we then examine the joint executive committee a railroad cartel in the 1880 s the econometric evidence indicates that reversions to noncooperative behavior did occur for the firms in our sample and these reversions involve a significant decrease in market price this article is concerned with the possibility of estimating a switching regression model and its application to a study on cartel stability the switching regression model is the exogenous switching model proposed by quandt 24 which generalized a problem of mixture distributions day 4 the sample in this model is generated from distinct regression equations or regimes for each time period if the investigator has a priori information on how the sample is partitioned into the underlying regimes it is a switching regression model with known sample separation otherwise it is a model with unknown sample separation estimation of these latter models has been considered by quandt 24 goldfeld and quandt 8 and kiefer 14 16 among others a switching regression model is appropriate for the study of cartel behavior when there are price wars as firms will revert from cooperative to noncooperative behavior and so the industry supply function shifts occasionally this model will allow us to exploit the fact that there will be periodic stochastic switches or reversions between cooperative and noncooperative conduct in order to identify collusive episodes

airline market power and intertemporal price dispersion this paper analyzes the empirical relationship between market structure and price dispersion in the airline markets connecting the u k and the republic of ireland price dispersion is measured by the gini coefficient calculated using fares posted on the internet at specific days before takeoff we control for passengers heterogeneity in their purpose of travel as well as for such peak periods as christmas and easter our finding of a negative correlation between competition and price dispersion suggests that competition is likely to hinder the airlines ability to price discriminate although this effect appears to be lessened in peak periods

the timing and magnitude of retail store markdowns evidence from weekends and holidays we examine daily prices of eight goods at seventeen retail stores collected in ann arbor michigan over a four month period from november 1 to february 28 we focus on weekly and seasonal price patterns and on the frequency of price markdowns or sales there were frequent markdowns in the intensive shopping period prior to christmas and a tendency for such sales to occur on weekends we interpret these findings as evidence that a significant number of markdowns are timed to occur when shopping intensity is exogenously high we complement the imperfect information based motives for sales in the literature by contributing an additional element based on the role of bulk shopping and increasing returns in the shopping technology

the impact of mergers on fares structure evidence from european low cost airlines this paper examines mergers that lead to an almost immediate replacement of the target firm s business model in favor of that of the acquiring firm we examine the post merger behavior of the two leading european dedicated low cost airlines easyjet and ryanair each acquiring another low cost airline go fly and buzz respectively we find that both takeovers had an immediate and sustained impact on both the pricing structures and the extent of intertemporal price schedules used on the acquired routes with early booking fares noticeably reduced and only very late booking fares increased the analysis suggests that the takeovers had a net beneficial effect for consumers at least in price terms as a consequence of the introduction of the acquiring firms business models and associated yield management pricing systems

auctions versus posted price selling two popular selling methods posted price selling and auctions are compared here in an independent private values model without auctioning costs auctioning is always optimal when auctioning is costly auctions are still preferable if the marginal revenue curve is sufficiently steep the global steepness of the marginal revenue curve is found to coincide with the dispersion around the mean for a number of standard distributions finally the prices of the monopoly seller and of the social optimum are compared copyright 1993 by american economic association

airline pricing behavior under limited inter modal competition this paper empirically analyzes airline pricing for short haul flights in contexts with no credible threat of inter modal competition to this end we explore the southern italian market since it is less accessible by other transport modes and thus fares are the direct outcome of air related competition we show in fact that market power matters depending on the level of intra modal competition and that airlines apply differentiated mark ups besides consistent with the implementation of inter temporal price discrimination ipd we find a non monotonic inter temporal profile of fares with a turning point included in the interval of the 43rd to 45th days before departure finally we provide evidence that in more competitive markets airlines are more likely to engage in ipd jel l11 l13 l93

demand uncertainty inventories and resale price maintenance we show that a manufacturer facing uncertain demand and selling through a competitive retail market may wish to support adequate retail inventories by preventing the emergence of discount retailers in our model discounters offer low prices made possible by low probability of being saddled with unsold inventories in the event of slack demand full price retailers are compensated for a higher probability of unsold inventories by a higher retail price when they sell we show that preventing discounting increases the manufacturer s wholesale demand and profits and we delineate demand conditions under which equilibrium inventory holding and consumer welfare increase

competition and price dispersion in the airline markets we use two ticket level data sets on one way domestic flights for the us airlines to examine the potentially nonlinear relationship between price dispersion and three forms of competition inter firm inter flight and frequency competitions the linear relationship is rejected at any conventional significance levels in particular there is an s shaped relationship between market concentration and price dispersion this can be a reason for the mixed results in the literature roughly speaking the inter flight and frequency competitions have opposite effects on price dispersion finally in general the size of aircraft has a positive effect on price however for very large aircraft the relationship becomes negative

airline pricing under different market conditions evidence from european low cost carriers abstract traditional theories of airline pricing maintain that fares monotonically increase as fewer seats remain available on a flight this implies a monotonically increasing temporal profile of fares in this paper we exploit the presence of drops in offered fares over time as an indicator of an active yield management intervention by two main european low cost carriers and measure its effectiveness we find that reduction of the offered airfare by one standard deviation raises a flight s load factor on average by 2 7 percent a measure unaffected by the intensity of competition in a route furthermore yield management interventions are less effective the higher the share of leisure holiday and visiting friends and relatives traffic on the route this result runs counter to the common perception of leisure passengers being more responsive to price changes

the future of stakeholder management theory a temporal perspective we propose adding a temporal dimension to stakeholder management theory and assess the implications thereof for firm level competitive advantage we argue that a firm s competitive advantage fundamentally depends on its capacity for stakeholder management related transformational adaptation over time our new temporal stakeholder management approach builds upon insights from both the resource based view rbv in strategic management and institutional theory stakeholder agendas and their relative salience to the firm evolve over time a phenomenon well understood in the literature and requiring what we call level 1 adaptation however the dominant direction of stakeholder pressures can also change namely from supporting resource heterogeneity at the firm level to fostering industry homogeneity and vice versa when dominant stakeholder pressures shift from supporting heterogeneity towards stimulating homogeneity in industry the firm must engage in level 2 or transformational adaptation stakeholders typically provide valuable resources to the firm in an early stage without these resources which foster heterogeneity in line with rbv thinking the firm would not exist at a later stage stakeholders also contribute to inter firm homogeneity via isomorphism pressures in line with institutional theory thinking adding a temporal dimension to stakeholder management theory has far reaching implications for this theory s practical relevance to senior level management in business

price discrimination on booking time abstract even if consumers are forward looking and free to choose when to purchase a firm can price discriminate on booking time if consumers learn their valuations at different times and consumers who learn later have higher valuations the model is related to our work on optimal screening with returns contracts akan ata and dana 1 but here we consider a simpler binary valuation distribution and consider more realistic consumer learning assumptions the main contribution is to show that the profitability of screening on time is robust to relaxing the assumption that consumers learn instantaneously in addition to analyzing a bad news model in which information arrives gradually we characterize a general bound on consumer optimism that guarantees that the instantaneous learning results are robust

multiproduct nonlinear pricing typically work on mechanism design has assumed that all private information can be captured in a single scalar variable this paper explores one way in which this assumption can be relaxed in the context of the multiproduct nonlinear pricing problem it is shown that the firm will choose to exclude some low value consumers from all markets a class of cases that allow explicit solution is derived by making use of a multivariate form of integration by parts in such cases the optimal tariff is cost based

portfolio selection and asset pricing three parameter framework idiosyncratic security risks are modelled as following a joint spherical distribution characterized by a mean vector and a generalized covariance matrix skewness is generated by a single factor for the whole economy but upon which different securities have different loadings this results in three fund separation two funds to span the spherical risk and one more fund to span the additional skewness risk a three parameter normative portfolio analysis that allows short sales restrictions is developed in addition a three parameter capital asset pricing model is provided

low cost pricing strategies in leisure markets abstract the practice of dynamic pricing typical of low cost carriers is generally regarded as a form of price discrimination between leisure and business travellers on a single flight or route the same may not be true across different routes because of the different incidence of business travellers if price increases in the 15 days prior to departure are meant to discriminate business demand leisure demand should account for earlier price variations in the present study we used a database containing the daily fare over the 3 months prior to each flight operated by easyjet during 2009 for each route we defined the leisure index as the difference between the price rates of change during the 90 days and 15 days prior to departure overall business routes had lower average prices per km while leisure routes showed less dynamic price behaviour with higher minimum and lower maximum prices per km

revenue management without commitment dynamic pricing and periodic flash sales a seller has a fixed number of goods to sell by a deadline at each time he posts a regular price and decides whether to hold a flash sale over time buyers privately enter the market and strategically time their purchases if a buyer does not purchase when she arrives she can pay an attention cost to recheck the regular price afterwards or she can wait for future flash sales where she may obtain a good at a discounted price in the unique markov perfect equilibrium the seller sporadically holds flash sales to lower the stock of goods a flash sale increases the willingness to pay of future buyers but decreases the willingness to pay of buyers who arrive early in the game when it is very likely that a buyer will obtain a good in a flash sale the seller holds a big initial flash sale for all but one unit of the good

evaluating stakeholder theory this paper is the third in a series of four that is directed at understanding and assessing stakeholder theory for the purposes of business ethics it addresses the suitability and viability of the theory rejecting objections of a moral and efficiency sort based respectively on claims about property rights and the economic superiority of the alternative stockholder approach but accepting that implementation problems require limiting both the number of groupings admitted to stakeholder status and the degree of responsibility towards them the conclusion looks forward to the construction of a suitably limited version of the stakeholder approach in a fourth paper drawing upon this one and the previous two

price discrimination in broadway theater a common thread in the theory literature on price discrimination has been the ambiguous welfare effects for consumers and the rise in profit for firms relative to uniform pricing in this study i resolve the ambiguity for consumers and quantify the benefit for a firm i describe a model of price discrimination that includes both second degree and third degree price discrimination using data from a broadway play i estimate the structural model and conduct various experiments to investigate the implications of alternative pricing policies the observed price discrimination may improve the firm s profit by approximately 5 relative to uniform pricing while the difference for aggregate consumer welfare is negligible also i show that the gain from changing prices in the face of fluctuating demand is small under the observed price discrimination

nonlinear pricing in an oligopoly market the case of specialty coffee firms that use nonlinear pricing may distort product characteristics away from their efficient levels this paper offers the first empirical study of this issue using data from a specialty coffee market i estimate a structural utility model to compute consumers benefits from changing products sizes i then compare the estimated benefits to cost data design distortions are relatively large for products not targeted to the highest demand consumers distortions decrease toward zero with drink size for products with the largest profit margins these results support some of the central predictions from nonlinear pricing theory including no distortion at the top

temporary boycotts as self fulfilling disruptions of markets abstract this paper demonstrates how equilibrium involving anticipated boycotts and actual boycotts can occur even though consumers are negligible and only care about the price they pay and the timing of purchase the model is a two period durable goods monopoly game with demand uncertainty first a non boycott equilibrium is characterized under regularity assumptions ruling out multiplicative uncertainty there are additional equilibria in which the firm sets a low price in period 0 based on the anticipation that consumers will boycott whenever the price exceeds a threshold also the augmented game with a publicly observed sunspot has equilibria in which boycotts occur on the equilibrium path with positive probability

finding a maximum skewness portfolio a general solution to three moments portfolio choice considering the three first moments and allowing short sales the efficient portfolios set for n risky assets and a riskless one is found supposing that agents like odd moments and dislike even ones analytical formulas for the solution surface are obtained and important geometric properties provide insights on its shape in the three dimensional space defined by the moments a special duality result is needed and proved the methodology is general comprising situations in which for instance the investor trades a negative skewness for a higher expected return computation of the optimum portfolio weights is feasible in most cases

why do manufacturers issue coupons an empirical analysis of breakfast cereals we explore the relationship between shelf prices and manufacturers coupons for 25 readyto eat breakfast cereals we find that shelf prices are lower during periods when coupons are available this result is inconsistent with static monopoly price discrimination under a broad range of assumptions we present evidence that is inconsistent with both dynamic theories of price discrimination and explanations of couponing based on the vertical relationship between manufacturers and retailers we find support for models of price discrimination in oligopoly settings as well as suggestions that firmwide incentives may induce managers to use coupons and price cuts simultaneously finally lagged coupons have a positive effect on current sales suggesting that coupons are used to induce repurchase

an analysis of dynamic price discrimination in airlines prices for the same flight change substantially depending on the time of purchase this article uses a unique data set with round the clock posted fares to document significant within day price variation labeling time variation as discriminatory is difficult because the cost of an unsold airline seat changes with inventory days before departure and aggregate demand expectations after controlling for these factors and aggregating hourly fares to have a framework with two consumer types we are able to identify a component that is largely consistent with dynamic price discrimination we find higher prices during office hours when business travelers are likely to buy and lower prices in the evening when leisure travelers are more likely to purchase as the proportion of business travelers increases closer to departure both price dispersion and price discrimination become larger we provide an alternative explanation for the observed within day price differentials which is related to edgeworth price cycles

price discrimination and retail configuration the hypothesis that price discrimination based on willingness to pay for quality can occur in multifirm markets is confirmed using microdata on gasoline retailing a test that discriminates between price structures associated with discrimination and with cost driven competitive differentials is developed and implemented with controls for variation in outlet and market characteristics a second test based on profitability variation rejects a competitive peak load pricing explanation for the observed price dispersion the data suggest that price discrimination at the retail level adds at least 9 a gallon to the average price of full service gasoline

long run competition in capacity short run competition in price and the cournot model in this article we investigate the nature of equilibrium in markets in which firms choose the scale of operation before they make pricing decisions we analyze a duopoly model in which firms choose their capacities before engaging in bertrand like price competition we demonstrate that the cournot outcome is unlikely to emerge in such markets and that the equilibrium tends to be more competitive than the cournot model would predict in addition our results indicate a tendency toward asymmetric firm sizes and price dispersion that results from the mixed strategies firms use in equilibrium

separating between unobserved consumer types evidence from airlines we propose an alternative approach to identify unobserved consumer types and assess whether firms price discriminate unlike other screening schemes that rely on quantity discounts or product differentiation in our finite mixture structure individuals have unit demands and the product is homogeneous we implement the model using an original u s airlines data set the results support the existence of two demand types the high type business traveler is less price sensitive has a higher valuation and pays a higher price than the low type tourist the proportion of high types also increases as the departure date nears jel c23 l93 r41

a portfolio optimality test based on the first order stochastic dominance criterion existing approaches to testing for the efficiency of a given portfolio make strong parametric assumptions about investor preferences and return distributions stochastic dominance based procedures promise a useful nonparametric alternative however these procedures have been limited to considering binary choices in this paper we take a new approach that considers all diversified portfolios and thereby introduce a new concept of first order stochastic dominance fsd optimality of a given portfolio relative to all possible portfolios using our new test we show that the u s stock market portfolio is significantly fsd nonoptimal relative to benchmark portfolios formed on market capitalization and book to market equity ratios without appealing to parametric assumptions about the return distribution we conclude that no nonsatiable investor would hold the market portfolio in the face of the attractive premia of small caps and value stocks

dynamic competition with random demand and costless search a theory of price posting this paper studies a dynamic model of perfectly competitive price posting under demand uncertainty firms must produce output in advance after observing aggregate sales in prior periods firms post prices for their unsold output in each period the demand of a new batch of consumers is randomly activated existing customers who have not yet bought and then new customers arrive at the market in random order observe the posted prices and either purchase at the lowest available price or delay their purchase decision we construct a sequential equilibrium in which the output produced and its allocation across consumers is efficient thus consumers endogenously sort themselves efficiently with the highest valuations purchasing first transaction prices in each period rise continuously as firms become more optimistic about demand followed by a market correction by the last period prices are market clearing

price discrimination through refund contracts in airlines this paper shows how an airline monopoly uses refundable and non refundable tickets to screen consumers who are uncertain about their travel our theoretical model predicts that the difference between these two fares diminishes as individual demand uncertainty is resolved using an original data set from u s airline markets we find strong evidence supporting our model price discrimination opportunities through refund contracts decline as the departure date nears and individuals learn about their demand

a theory of clearance sales clearance sales are widely used by firms as an intertemporal selling policy in particular in markets where firms face demand uncertainty and need to choose capacity in advance clearance sales consist in charging a high price initially but then lowering the price in the sales period high valuation consumers purchase the good at the high initial price so as to avoid rationing at the low price while low valuation consumers wait for the price to drop we develop a simple model of intertemporal monopoly pricing under demand uncertainty and show that clearance sales may be the optimal intertemporal selling policy

reputation in bargaining and durable goods monopoly this paper analyzes durable goods monopoly in an infinite horizon discrete time game we prove that as the time interval between successive offers approaches zero all seller payoffs between zero and static monopoly profits are supported by subgame perfect equilibria this reverses a well known conjecture of coase alternatively one can interpret the model as a sequential bargaining game with one sided incomplete information in which an uninformed seller makes all the offers our folk theorem for seller payoffs equally applies to the set of sequential equilibria of this bargaining game

is the effect of competition on price dispersion nonmonotonic evidence from the u s airline industry we investigate the effect of competition on price dispersion in the airline industry using panel data from 1993 to 2008 we find a nonmonotonic effect of competition on price dispersion an increase in competition is associated with greater price dispersion in concentrated markets but with less price dispersion in competitive markets an inverse u relationship our empirical findings are consistent with an oligopolistic second degree price discrimination model and encompass contradictory findings in the literature

relationship between spatial agglomeration and hotel prices evidence from business and tourism consumers abstract in this paper we examine the relationship between number of local competitors and both the average and the dispersion of retail prices in urban hotels using a dataset from the metropolitan area of madrid spain by controlling for hotel characteristics and spatial factors we obtained results for each of the days in one week in line with predictions derived from the traditional monopolistic approach empirical results consistently indicate that a greater density of competitors implies a lower average and less dispersion of local prices moreover we found evidence which supports the idea that the effect of local agglomeration on average prices is particularly weaker at weekends this in turn indirectly suggests that within the metropolitan area there is a greater degree of substitution in hotel locations for tourism consumers than for business consumers

data envelopment analysis of mutual funds based on second order stochastic dominance abstract although data envelopment analysis dea has been extensively used to assess the performance of mutual funds mf most of the approaches overestimate the risk associated to the endogenous benchmark portfolio this is because in the conventional dea technology the risk of the target portfolio is computed as a linear combination of the risk of the assessed mf this neglects the important effects of portfolio diversification other approaches based on mean variance or mean variance skewness are non linear we propose to combine dea with stochastic dominance criteria thus in this paper six distinct dea like linear programming lp models are proposed for computing relative efficiency scores consistent in the sense of necessity with second order stochastic dominance ssd the aim is that being ssd efficient the obtained target portfolio should be an optimal benchmark for any rational risk averse investor the proposed models are compared with several related approaches from the literature

the efficiency of advance purchase discounts in the presence of aggregate demand uncertainty abstract the pricing behavior of two airlines is examined one is operated by a welfare maximizing social planner the other by an unregulated monopolist total capacity is fixed and aggregate demand is uncertain it is shown that advance purchase discounts can assist in attaining an efficient allocation of capacity when it is not feasible to operate a spot market on the day of the flight it is further shown that the planner may offer larger or smaller discounts than the monopolist

package size and price discrimination in the paper towel market abstract estimates from a structural model of consumer behavior and firm conduct are used to decompose the extent to which quantity discounts for paper towels are consistent with second degree price discrimination as opposed to cost differences across sizes counterfactual exercises assuming that firms offer only one package size or charge uniform prices across sizes indicate that competition in the multi roll package size segment results in increased consumer surplus and lower prices for all consumers

prospect theory and mean variance analysis the experimental results of prospect theory pt reveal suggest that investors make decisions based on change of wealth rather than total wealth that preferences are s shaped with a risk seeking segment and that probabilities are subjectively distorted this article shows that while pt s findings are in sharp contradiction to the foundations of mean variance mv analysis counterintuitively when diversification between assets is allowed the mv and pt efficient sets almost coincide thus one can employ the mv optimization algorithm to construct ptefficient portfolios the markowitz 1952a tobin 1958 mean variance mv rule is probably the most popular investment decision rule under uncertainty in economics and in finance and it is widely employed by both academics and practitioners the strength of the mv analysis is that in the case of normal return distributions the choice of any expected utility maximizing risk averse individual will be according to the mv rule 1 the mv framework is the foundation of the sharpe 1964 lintner 1965 capital asset pricing model capm which is a cornerstone of modern finance moreover the mv framework provides a very important practical procedure for the construction of efficient portfolios while standard economic theory and in particular mv analysis assume expected utility maximization and risk aversion in a breakthrough article kahneman and tversky 1979 show that the actual behavior of individuals systematically and consistently violates these

prospect theory much ado about nothing prospect theory is a paradigm challenging the expected utility paradigm one of the fundamental components of prospect theory is the s shaped value function the value function is mainly justified by experimental investigation of the certainty equivalents of prospects confined either to the negative or to the positive domain but not of mixed prospects which characterize most actual investments we conduct an experimental study withmixed prospects using for the first time recently developed investment criteria called prospect stochastic dominance psd and markowitz stochastic dominance msd we reject the s shaped value function showing thatat least 62 76 of the subjects cannot be characterized by such preferences we find support for the markowitz utility function which is a reversed s shaped function exactly the opposite of the prospect theory value function it is possible that the previous results supporting the s shaped value function are distorted because the prospects had only positive or only negative outcomes presenting hypothetical situations which individuals do not usually face and which are certainly not common in financial markets

advance purchase discounts and monopoly allocation of capacity optimal pricing by a monopoly airline that faces capacity constraints during the peak demand period is studied the existence of capacity constraints means that in order to expand output the airline must divert demand from the peak period to the off peak period a particular advance purchase discount policy is shown to be the profit maximizing method of selling tickets if the advance purchase requirement were infeasible output and total surplus would both be lower jel l12 substantial discounts for air travel are generally available to travelers who are willing to purchase tickets a week or more in advance of the departure date this paper demonstrates why the imposition of an advance purchase requirement may be a profit maximizing strategy for a monopoly airline facing capacity constraints during times of peak demand 1 the practice of imposing an advance purchase requirement on discount tickets is also placed in a favorable light in terms of its impact on social

marginal cost pricing when spot markets are complete the standard formulation of a spot market subject to uncertain excess demand uses a tatonnement process that restricts trade until the market clearing price is found here i present a model in which there is no restriction on trade during the process of the resolution of uncertainty about aggregate excess demand the idea is to enlarge the commodity space and define goods by the probability that they will sell in addition to other characteristics the probability of sale characteristic is the spot market analogue of the contingencies under which delivery will take place in the arrow debreu model a failure to distinguish goods by the probability of sale characteristic can lead to the rejection of the competitive paradigm even when everyone is a price taker and the allocation is efficient

equilibrium price dispersion under demand uncertainty the roles of costly capacity and market structure when capacity is costly and prices are set in advance firms facing uncertain demand will sell output at multiple prices and limit the quantity available at each price i show that the optimal price strategy of a monopolist and the unique pure strategy nash equilibria of oligopolists both exhibit intrafirm price dispersion moreover as the market becomes more competitive prices become more dispersed a pattern documented in the airline industry while generating similar predictions the model differs from the revenue management literature because it disregards market segmentation and fare restrictions that screen customers

being better vs being different differentiation competition and pricing strategies in the spanish hotel industry we study the effects of vertical and horizontal differentiation on pricing policy in a large sample of hotels in spain we show that hotels with more stars i e vertically differentiated offer smaller discounts over listed prices in addition to charging higher prices similarly hotels that belong to a branded chain i e horizontal differentiation also charge higher prices and provide smaller discounts we show how the degree of local competition moderates the effect of differentiation on pricing policy but only for vertical differentiation differentiation indeed protects hotels from the pressure to reduce prices as competition increases but being better seems to be more effective than just being different

nonlinear pricing strategies and competitive conditions in the airline industry i introduction many industries use nonlinear pricing based on product attributes one industry where this practice is long recognized is domestic airlines while price dispersion in the industry has been widely studied data limitations have prevented analysis investigating the impact of competitive conditions on price dispersion linked to nonlinear pricing as opposed to variation in costs this paper uses a novel data set that allows us to investigate how nonlinear pricing strategies vary with market structure we construct a ticket menu using standard categories of tickets including first class tickets business class tickets fully refundable tickets nonrefundable tickets and nonrefundable restricted tickets these categories exhibit substantially different prices and are available across all types of routes we investigate both how market concentration and the competitive pressures generated by southwest and other low cost carriers impact the relative fares within the ticket menu using traditional measures of concentration including both herfindahl hirschman index hhi and discrete measures used in other studies of airlines competitive duopoly and monopoly we observe only a modest impact of concentration on relative fares the discrete measures appear to be more informative indicating that concentration primarily reduces the relative fares for high end first class tickets on monopoly routes we identify a puzzle regarding the pricing of high end fares under monopoly the evidence does not support a more general relationship between concentration and other fares we find considerably stronger evidence regarding the impact of southwest on the fare structure while previous studies show that southwest s presence reduces mean fares our results provide a much richer picture the results show that southwest s presence reduces low end fares but actual and potential competition from southwest also generally leads to a substantial compression of the entire fare structure competition from other low cost carriers also affects the fare structure but does not lead to a compression of fares our analysis ties into several literatures our work is closely related to the theoretical work on nonlinear pricing and imperfect competition see e g rochet and stole 2002 stole 1995 1 generically however there is no natural empirical implementation of these models for testing more specifically in these models consumers differ in two dimensions brand loyalty and their marginal preference for quality the results of these papers show that the relationship between competition and high versus low prices turns on the correlation between consumers preferences for quality and their brand loyalty unfortunately these models generally predict monotonicity so that prices exhibit either a wider or narrower spread related to competition busse and rysman 2002 our results in contrast show that higher prices are reduced on highly concentrated routes but that intermediate prices are at most modestly affected the results for actual and potential competition from southwest generally support the predictions of rochet and stole 2002 that increased competition will lead to fare compression our study is also related to the empirical work on competition and price dispersion in airline markets there is an extensive body of work regarding the relationship between market concentration and airline price dispersion the empirical evidence on this matter is mixed in a seminal paper borenstein and rose 1994 examine concentration and price dispersion using cross sectional variation in market concentration and dispersion to identify the relationship between the two they show that airlines offer highly dispersed prices the expected absolute difference in fares between two randomly chosen passengers on the same airline and route is 36 of the average price the authors also find that price dispersion decreases with market concentration

stochastic dominance tests abstract we develop stochastic dominance tests of a given prospect compared with multiple choice alternatives we account for all types of preferences the tests are formulated in terms of linear as well as mip models and developed based on bayesian analysis which relies on novel markov chain monte carlo procedures empirical results indicate that the market portfolio is prospect stochastic dominance optimal this implies that there are s shaped utility functions that rationalize the market portfolio