efficient resource allocation on the basis of priorities many institutions allocate resources by non market mechanisms based on priorities in this paper we introduce a model of resource allocation on the basis of priorities and address the following questions is it possible to allocate resources on the basis of any priority structure if yes when can we do this pareto efficiently without creating incentives for manipulation and consistently across different groups of agents and resource levels we adopt a basic indivisible objects model with a finite number of object types and a finite quota of goods of each type some interesting examples are the determination of access to education allocation of graduate houses offices or tasks agents are assumed to have strict preferences over object types and remaining unassigned an assignment is an allocation of the objects to the agents such that every agent receives at most one object a rule associates an assignment to each preference profile we formalize a priority structure to be a collection of strict priority rankings of individuals indexed by the object types where i a j would be read as i has higher priority for object a than j we assume that the priority structure is exogenously fixed and allow the preferences of the agents to vary a rule is said to violate a priority of i for a if there is a preference profile under which i envies j who is assigned a and publication information econometrica 70 6 november 2002 2489 2497 the copyright to this article is held by the econometric society http www econometricsociety org it may be downloaded printed and reproduced only for personal or classroom use absolutely no downloading or copying may be done for or on behalf of any for profit commercial firm or other commercial purpose without the explicit permission of the econometric society for this purpose contact julie p gordon executive director of the society at jpg northwestern edu i would like to thank faruk gul wolfgang pesendorfer the co editor the four anonymous referees and the participants of the micro theory lunch seminar in princeton university for their comments and suggestions

boston versus deferred acceptance in an interim setting an experimental investigation abstract while much of the school choice literature advocates strategyproofness recent research has aimed to improve efficiency using mechanisms that rely on non truthtelling equilibria we address two issues that arise from this approach we first show that even in simple environments with ample feedback and repetition agents fail to reach non truthtelling equilibria we offer another way forward implementing truth telling as an ordinal bayes nash equilibrium rather than as a dominant strategy equilibrium we show that this weaker solution concept can allow for more efficient mechanisms in theory and provide experimental evidence that this is also the case in practice in fact truth telling rates are basically the same whether truthtelling is implemented as an ordinal bayes nash equilibrium or a dominant strategy equilibrium this provides a proof of concept that ordinal bayes nash design might provide a middle path achieving efficiency gains over strategy proof mechanisms without relying on real life agents playing a non truth telling equilibrium

am i getting a good deal reference dependentdecision making when the reference price is uncertain models of consumer decision making commonly incorporate reference dependent preferences in these models the reference point is typically assumed to be known by the consumer however research on price recall and the reference formation process reveals that the reference price is often uncertain at the time of purchase reference price uncertainty creates ambiguity for the consumer about whether they are getting a good or bad deal this paper develops a model of consumer choice in the presence of reference dependent preferences when the reference price is uncertain data from two empirical studies that vary the product category and order of the elicitation of reference prices show that the new model generally outperforms conventional discrete choice models that either ignore reference prices or treat reference prices as certain the new model provides insights into the effect of reducing reference price uncertainty on consumer choice and reveals that high uncertainty smoothes the kink in the demand curve that is present in traditional reference price demand models

practice prize report an assortmentwide decision support system for dynamic pricing and promotion planning in diy retailing the main objective of this report is to describe a decision support system for dynamic retail pricing and promotion planning our weekly demand model incorporates price reference price effects seasonality article availability information features and discounts building on previous research we quantify demand interdependencies and integrate the resulting profit lifting effects into the optimal pricing model the methodology was developed and implemented at baumax an austrian do it yourself retailer along with the practical requirements an objective function was employed that can be used as a vehicle for implementing a retailer s strategy eight pricing rounds with thousands of different stock keeping units have each served as a testing ground for our approach based on various benchmarking methods a positive impact on profit was reported the currently implemented marketing decision support system increased gross profit on average by 8 1 and sales by 2 1

on the perceived value of money the reference dependence of currency numerosity effects money illusion research shows that the nominal face value of money affects consumer perceptions of its real value recent mixed findings on consumer valuations in different currencies suggest that the underlying anchoring and adjustment processes are complex we develop a framework to identify boundary conditions that specify the direction of anchoring effects on valuations in different currencies consumers anchor on the numerosity of the nominal difference between prices and salient referents e g budgets when evaluating transactions support for our framework comes from a series of experiments that evoke different reference standards we discuss implications and opportunities for future research

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

variable pricing in oligopoly markets behavioral research has found that consumers respond to variability in prices in addition to price levels we show that this finding can explain why some firms vary their prices more frequently than others we examine pricing strategies composed of an average price and price variability and employ logit market share models to analyze equilibrium pricing strategies in an oligopoly two competing logit specifications termed price sensitivity and payoff sensitivity are considered and are shown to yield contradictory implications for pricing policy from three empirical studies on restaurant choice we find that the price sensitivity model is the better model

dynamic pricing strategies with reference effects we consider the dynamic pricing problem of a monopolist firm in a market with repeated interactions where demand is sensitive to the firm s pricing history consumers have memory and are prone to human decision making biases and cognitive limitations as the firm manipulates prices consumers form a reference price that adjusts as an anchoring standard based on price perceptions purchase decisions are made by assessing prices as discounts or surcharges relative to the reference price in the spirit of prospect theory we prove that optimal pricing policies induce a perception of monotonic prices whereby consumers always perceive a discount respectively surcharge relative to their expectations the effect is that of a skimming or penetration strategy the firm s optimal pricing path is monotonic on the long run but not necessarily at the introductory stage if consumers are loss averse we show that optimal prices converge to a constant steady state price characterized by a simple implicit equation otherwise the optimal policy cycles the range of steady states is wider the more loss averse consumers are steady state prices decrease with the strength of the reference effect and with customers memory all else equal offering lower prices to frequent customers may be suboptimal however if these are less sensitive to price changes than occasional buyers if managers ignore such long term implications of their pricing strategy the model indicates that they will systematically price too low and lose revenue our results hold under very general reference dependent demand models

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

looking for loss aversion in scanner panel data the confounding effect of price response heterogeneity recent work in marketing has drawn on behavioral decision theory to advance the notion that consumers evaluate attributes and therefore choice alternatives not only in absolute terms but asdeviations from a reference point the theory has important substantive and practical implications for the timing and execution of price promotions and other marketing activities choice modelers using scanner panel data have tested for the presence of these reference effects in consumer response to an attribute such as price in applications of the theory of reference dependent choice tversky and kahneman 1991 some modelers report empirical evidence of loss aversion when a consumer encounters a price above his or her established reference point a loss the response is greater than for a price below the reference point a gain researchers have gone so far as to suggest that evidence for the so called reference effect make it an empirical generalization in marketing e g kalyanaram and winer 1995 meyer and johnson 1995 it is our contention that the measurement of loss aversion in empirical applications of the reference dependent choice model is confounded by the presence of unaccounted for heterogeneity in consumer price responsiveness our reasoning is that the kinked price response curve implied by loss aversion is confounded with the slopes of the response curves across segments that are differentially responsive to price a more price responsive consumer with a steeper response function tends to have a lower price level as a reference point this consumer faces a larger proportion of prices above his reference point thus the response curve is steeperin the domain of losses similarly the less price responsive consumer sees a greater proportion of prices below his reference point so the response curve is less steep within the domain of gains as a result any cross sectional estimate of loss aversion that does not take this into account will be biased upward researchers who do not control for heterogeneity in price responsiveness may arrive at incorrect substantive conclusions about the phenomenon it is interesting to note that in this instance failure to control for heterogeneity induces a bias infavor of finding an effect rather than the more typical case of attenuation of the effect toward zero we first test our assertion regarding the referencedependent model using scanner panel data on refrigerated orange juice and subsequently extend this analysis to 11 additional product categories in all cases we find as predicted that accounting for price response heterogeneity leads to lower and frequently nonsignificant estimates of loss aversion we do however find some categories in which the effect does not disappear altogether we also estimate loss aversion using a sticker shock model of brand choice in which the reference prices arebrand specific in line with the results of the majority of prior literature we find smaller and insignificant estimates of loss aversion in this model we show that this is because in the sticker shock model there is no apparent correlation between the price responsiveness of the consumer and the representation of reference effects as losses or gains our findings strongly suggest that loss aversion may not in fact be a universal phenomenon at least in the context of frequently purchased grocery products

the impact of heterogeneity in purchase timing and price responsiveness on estimates of sticker shock effects the notion that individuals have an internal reference price against which they compare observed prices is well supported by several psychological theories empirically several papers in the marketing literature employing scanner panel data have modeled the impact of reference prices on brand choice via the sticker shock formulation in which consumers evaluate choice alternatives using differences between shelf prices and reference prices most of the studies reported thus far have not accounted for heterogeneity in price response among consumers and have typically imputed reference prices from the shelf prices of brands that a consumer is supposed to have observed on previous purchases in the category since category marketing activity can differentially affect the purchase timing of households we argue that this measure of reference price may follow certain systematic patterns across consumers and when combined with unaccounted for price response heterogeneity may result in a spurious sticker shock effect specifically we show that estimates of sticker shock are biased upward if households that are price sensitive in the brand choice decision are also more responsive to category promotion activity in their purchase timing decision we discuss some general conditions under which the bias occurs and conduct a simulation experiment to confirm our specific hypotheses our simulation results show that changes in purchase timing are a critical determinant of the bias in the sticker shock effect we also show that unaccounted for price response heterogeneity can in itself result in a biased sticker shock parameter however this requires very large differences in price sensitivities across consumers far greater than what is normally observed we develop a hierarchical bayes version of the nested logit model which models heterogeneity via individual level parameters in a continuous random effects framework we estimate the model on scanner panel data from the yogurt and ketchup categories we find in both categories that the 95 probability interval of the posterior distribution of the mean sticker shock coefficient contains the value zero therefore at least for the data used in this study there is no evidence for the sticker shock effect at the aggregate level in contrast the corresponding coefficient from a standard model which ignores this heterogeneity is highly significant and supports the existence of a possibly spurious sticker shock effect consistent with our explanation of the underlying cause of the bias households that are more price sensitive in the choice decision are also found to be more responsive to category promotion activity in their decision to purchase in the category the results highlight the measurement problems associated with imputing reference prices from past prices since the frequency duration and price level of a retailer s promotional program depend on its size and prevalence accurate estimates of the sticker shock effect are essential for formulating optimal promotion strategies an adequate accounting of consumer heterogeneity is critical to this effort

neuroeconomics using neuroscience to make economic predictions neuroeconomics seeks to ground economic theory in detailed neural mechanisms which are expressed mathematically and make behavioural predictions one finding is that simple kinds of economising for life and death decisions food sex and danger do occur in the brain as rational theories assume another set of findings appears to support the neural basis of constructs posited in behavioural economics such as a preference for immediacy and nonlinear weighting of small and large probabilities a third direction shows how understanding neural circuitry permits predictions and causal experiments which show state dependence of revealed preference except that states are biological and neural variables

modeling loss aversion and reference dependence effects on brand choice based upon a recently developed multiattribute generalization of prospect theory s value function tversky and kahneman 1991 we argue that consumer choice is influenced by the position of brands relative to multiattribute reference points and that consumers weigh losses from a reference point more than equivalent sized gains loss aversion we sketch implications of this model for understanding brand choice we develop a multinomial logit formulation of a reference dependent choice model calibrating it using scanner data in addition to providing better fit in both estimation and forecast periods than a standard multinomial logit model the model s coefficients demonstrate significant loss aversion as hypothesized we also discuss the implications of a reference dependent view of consumer choice for modeling brand choice demonstrate that loss aversion can account for asymmetric responses to changes in product characteristics and examine other implications for competitive strategy

when do price thresholds matter in retail categories marketing literature has long recognized that brand price elasticity need not be monotonic and symmetric but has yet to provide generalizable market level insights on threshold based price elasticity asymmetric thresholds and the sign and magnitude of elasticity transitions this paper introduces smooth transition regression models to study threshold based price elasticity of the top 4 brands across 20 fast moving consumer good categories threshold based price elasticity is found for 76 of all brands 29 reflect historical benchmark prices 16 reflect competitive benchmark prices and 31 reflect both types of benchmarks the authors demonstrate asymmetry for gains versus losses on three levels the threshold size and the sign and the magnitude of the elasticity difference interestingly they observe latitude of acceptance for gains compared to the historical benchmark but saturation effects in most other cases moreover category characteristics influence the extent and the nature of threshold based price elasticity while individual brand characteristics impact the size of the price thresholds from a managerial perspective the paper illustrates the sales revenue and margin implications for price changes typically observed in consumer markets

when internal reference prices and price expectations diverge the role of confidence abstract when do internal reference prices differ from articulated price expectations the authors propose that the internal reference price depends not only on the magnitude of the expected price but also on the confidence associated with this expectation four experiments delineate the effects of price expectation and confidence on the internal reference price in experiments 1 and 2 the authors manipulate repetition and examine the effects of repetition induced confidence on price judgments in experiments 3 and 4 they manipulate confidence directly to investigate its effects on judgments the results from all four experiments suggest that consumers with less confidence have higher internal reference prices than more confident consumers even when they do not differ in their articulated price expectations the authors discuss the implications of these results for pricing theory

research note estimating heterogeneous price thresholds a brand choice model with heterogeneous price threshold parameters is used to investigate a three regime piecewise linear stochastic utility function the model is used to explore the relationships between aspects of consumer price sensitivity and price thresholds using hierarchical bayes modeling with the markov chain monte carlo mcmc method this study contributes to the modeling literature on discontinuous likelihoods in choice models the empirical application using our scanner panel data set shows that the reference effect and loss aversion are more marked after price thresholds are taken into heterogeneous price response models furthermore loss aversion is attenuated by using price thresholds than by an aggregate homogeneity model without price thresholds

specifying price judgments with range frequency theory in models of brand choice abstract to construct a price judgment consumers compare a focal price with one or more reference prices however reference price operationalizations in the brand choice literature use single point summary measures that cannot account for several distributional effects to account for effects beyond the first moment of the reference price distribution the authors specify price judgments in models of brand choice in accordance with range frequency theory the findings indicate that range frequency price judgments provide a more complete specification of reference price effects and become more important with an increase in the second and third moments of a reference price distribution the data also indicate that range effects are stronger for coupon users and frequency effects are stronger for consumers exposed to a trend of prices the results have several implications for choice modeling pricing theory and pricing strategy

multiattribute loss aversion and reference dependence evidence from the performing arts industry we study the prevalence of multiattribute loss aversion and reference effects in a revenue management setting based on data of individual level purchases over a series of concert performances the reference dependence that drives consumer choice is not only based on the price but also on observed sales as a fraction of the seating capacity during their past visits we find that consumers suffer from loss aversion on both prices and seats sold consumers incur significant utility loss when prices are above their references or when the actual seat sales are lower than their references we suggest pricing policies that can address consumer decisions driven by such reference dependence and loss aversion this paper was accepted by vishal gaur operations management

empirical generalizations from reference price research considerable theoretical justification for consumers use of psychological reference points exists from the research literature from a managerial perspective one of the most important applications of this concept is reference price an internal standard against which observed prices are compared in this paper we propose three empirical generalizations that are well supported in the marketing literature first there is ample evidence that consumers use reference prices in making brand choices second the empirical results on reference pricing also support the generalization that consumers rely on past prices as part of the reference price formation process third consistent with other research on loss aversion consumers have been found to be more sensitive to losses i e observed prices higher than reference prices than gains we also propose topics for further research on reference prices

how basic are behavioral biases evidence from capuchin monkey trading behavior behavioral economics has demonstrated systematic decision making biases in both lab and field data do these biases extend across contexts cultures or even species we investigate this question by introducing fiat currency and trade to a colony of capuchin monkeys and recovering their preferences over a range of goods and gambles we show that capuchins react rationally to both price and wealth shocks but display several hallmark biases when faced with gambles including reference dependence and loss aversion given our capuchins inexperience with money and trade these results suggest that loss aversion extends beyond humans and may be innate rather than learned

the bright side of loss aversion in dynamic and competitive markets a well established phenomenon of consumer buying behavior is that consumers evaluate prices relative to a reference point and exhibit loss aversion i e their propensity to buy is more negatively affected by prices above the reference point than it is positively affected by prices below the reference point the objective of this paper is to analytically examine how the competitive strategy and profitability of firms are affected by the presence of consumer loss aversion in the price dimension although we assume that consumer loss aversion increases consumer propensity to search for lower prices we find that it does not necessarily lead to lower prices or profits when firms compete over multiple periods and when the consumer reference price in subsequent periods is affected by current prices specifically consumer loss aversion could lead to higher prices and profits when consumer valuation is sufficiently high relative to search costs and the proportion of consumers with positive search costs is in an intermediate range we also show that when forward looking firms incorporate the negative effect of price promotions on future profits the equilibrium range of price promotions may actually increase

an empirical analysis of latitude of price acceptance in consumer package goods scanner panel data analyses for sweetened and unsweetened drink categories with four brands in each support the presence of a region of price insensitivity around a reference price the analyses also suggest that consumers with higher average reference price have a wider latitude of price acceptance consumers with a higher frequency of purchase i e shorter average interpurchase time interval are found to have a narrower latitude of price acceptance because they are more aware of the range of price distributions finally consumers with a higher average brand loyalty have a wider latitude of price acceptance demonstrating greater tolerance of price fluctuations

choice experiments are not conducted in a vacuum the effects of external price information on choice behavior abstract consumers carry a wealth of external knowledge and experience into a study that may affect choices in even the most well crafted experiment we derive a conceptual model showing how the level and variability of price perceptions outside the task at hand might affect choice behavior and we conduct an experiment to test the model by manipulating information provided to respondents in a way to alter the outside the experiment perceptions mixed logit error component models show that reference dependent models best describe the choice data and we find that consumer choice is significantly affected by the experiment manipulations the predictions of the model are borne out in the data as expected price sensitivity is generally higher for price changes above a price reference point than below also as predicted exogenously increasing external reference prices and exogenously reducing the variability in references prices both serve to increase the probability of making a purchase and reduce the probability of choosing none these results have important implications for the design and practice of choice experiments as they show that consumer choice is affected by perceptions of the level and variability of prices outside the experiment more generally the results highlight the need to understand the formation and distribution of reference prices when predicting consumer choice

a comparative analysis of reference price models the effect of reference price on brand choice decisions has been well documented in the literature researchers however have differed in their conceptualizations and therefore in their modeling of reference price in this article we evaluate five alternative models of reference price of which two are stimulus based i e based on information available at the point of purchase and three that are memory based i e based on price history and or other contextual factors we calibrate the models using scanner panel data for peanut butter liquid detergent ground coffee and tissue to account for heterogeneity in model parameters we employ a latent class approach and select the best segmentation scheme for each model the best model of reference price is then selected on the basis of fit and prediction as well as on the basis of parsimony in cases where the fits of the models are not very different in all four categories we find that the best reference price model is a memory based model namely one that is based on the brand s own price history in the liquid detergent category however we find that one of the stimulus based models namely the current price of a previously chosen brand also performs fairly well we discuss the implications of these findings

between preferences and references asymmetric price elasticities and the simulation of fiscal policies abstract canonical demand studies and fiscal policy simulations rest on the assumption that consumers react symmetrically to price increases and decreases such assumption has been challenged from both the empirical and theoretical points of view we propose theoretically consistent empirical specifications to estimate discrete choice models random utility dcm and continuous demand systems easi and aids demand systems that allow for reference prices and asymmetric own and cross price demand response our application focuses on the demand for sugar sweetened beverages in great britain using transaction level household purchase data and different product aggregation levels we find substantial evidence of asymmetric consumer response and loss aversion with a stronger response when prices rise above their reference level our results hold for both dcms on highly differentiated products and demand systems on aggregate product categories and are robust to alternative model and reference price specifications simulations of taxes and subsidies on soft drinks shows that ignoring asymmetry may lead to biases especially when predicting price cuts

designing random allocation mechanisms theory and applications randomization is commonplace in everyday resource allocation we generalize the theory of randomized assignment to accommodate multi unit allocations and various real world constraints such as group specific quotas controlled choice in school choice and house allocation and scheduling and curriculum constraints in course allocation we develop new mechanisms that are ex ante efficient and fair in these environments and that incorporate certain non additive substitutable preferences we also develop a utility guarantee technique that limits ex post unfairness in random allocations supplementing the ex ante fairness promoted by randomization this can be applied to multi unit assignment problems and certain two sided matching problems jel c78 d82

comparing school choice mechanisms by interim and ex ante welfare recent work has highlighted welfare gains from the use of the boston mechanism over deferred acceptance da in school choice problems in particular finding that when cardinal utility is taken into account boston interim pareto dominates da in certain incomplete information environments with no school priorities we show that these previous interim results are not robust to the introduction of weak priorities however we partially restore the earlier results by showing that from an ex ante utility perspective the boston mechanism pareto dominates any strategyproof mechanism including da even allowing for arbitrary priority structures thus we suggest ex ante pareto dominance as a relevant criterion by which to compare school choice mechanisms this criterion may be of particular interest to school districts as they can be thought of as social planners whose goal is to maximize the overall ex ante welfare of the students

dynamic inconsistency and self control a planner doer interpretation we show that gul and pesendorfer s econometrica 69 2001 1403 representation result for preferences with temptation and self control can be reexpressed in terms of a costly intrapersonal conflict between a planner and doer as in thaler and shefrin j political econ 89 1981 392 and psychologists standard view of self control problems

dual role of price and myopia in a marketing channel abstract in this paper we study a dynamic two player channel where the manufacturer controls the wholesale price and the investment in quality and the retailer chooses the retail price we consider that the retail price affects both the demand and the perceived quality of the brand and that its variations contribute to the building of an internal reference price one of the model s distinctive features is that it accounts for the two meanings of price i e its classical objective measure of the cost of acquiring a particular quantity of the product and its subjective roles as an assessment of the quality of the product and an evaluation of gains or losses deal vs sacrifice resulting from buying a cheap or an expensive product this dual computation is done with respect to the internal reference price our objective is to investigate the impact of retailer s myopia on the pricing strategies and payoffs of channel members in this context a myopic retailer is an agent that disregards the effects of its pricing strategy on the evolution of the perceived brand quality and the reference price

explicit solutions of optimization models and differential games with nonsmooth asymmetric reference price effects models in marketing with asymmetric reference effects lead to nonsmooth optimization problems and differential games which cannot be solved using standard methods in this study we introduce a new method for calculating explicitly optimal strategies open loop equilibria and closed loop equilibria of such nonsmooth problems application of this method to the case of asymmetric reference price effects with loss aversive consumers leads to the following conclusions 1 when the planning horizon is infinite after an introductory stage the optimal price stabilizes at a steady state price which is slightly below the optimal price in the absence of reference price effects 2 the optimal strategy is the same as in the symmetric case but with the loss parameter determined by the initial reference price 3 competition does not change the qualitative behavior of the optimal strategy 4 adopting an appropriate constant price strategy results in a minute decline in profits

efficient algorithms for the dynamic pricing problem with reference price effect we analyze a finite horizon dynamic pricing model in which demand at each period depends on not only the current price but also past prices through reference prices a unique feature but also a significant challenge in this model is the asymmetry in reference price effect which implies that the underlying optimization problem is nonsmooth and no standard optimization methods can be applied we identify a few key structural properties of the problem which enable us to develop strongly polynomial time algorithms to compute the optimal prices for several plausible scenarios we complement our exact algorithms by proposing an approximation heuristic and provide an upper bound on the optimal objective value finally we conduct numerical experiments to study the optimal price path and demonstrate the value of dynamic pricing when demands are seasonal we further compare numerically one of the exact algorithms with the heuristic and offer managerial suggestions this paper was accepted by yinyu ye optimization

an empirical analysis of internal and external reference prices using scanner data single source yogurt data are used to examine whether both internal and external reference prices affect purchase decisions internal reference prices are memory resident prices based on actual fair or other price concepts external reference prices are observed stimuli such as regular prices that stores may display along with a sale price for comparability discrete choice models with variables representing the two types of reference prices are estimated and both types of variables are found to have significant effects on purchase probabilities this suggests that consumers may use multiple reference points in evaluating price in purchase decisions in addition a model using an indicator of a sale price discount explains purchase probabilities as well as one that models the actual discount which suggests that consumers may be reacting to the indication of savings rather than to the amount of the discount

the impact of reference price effects on the profitability of price promotions this paper investigates the impact of reference price effects on retailer price promotions and describes why these effects can make promoting profitable first we analyze the profit impact of reference price effects generated by a single period of promotion the promotion can increase profit if the gain that these effects create in the promotion period outweighs the loss they create in future periods we then describe how retailers can estimate the optimal strategy of recurring promotions that maximizes profits from reference price effects over a time horizon examples of such strategies are presented for a retailer selling a national brand of peanut butter we obtain insights into how promotion prices timing and profits are affected by changes in costs interest rates consumers reactions to reference price effects and error in estimates used in the model the retailer s optimal reaction to a trade deal is also examined this strategy involves a phase of increased promotion activity sandwiched between phases of decreased activity we explain these results using the effects described in the single period model

technical note dynamic pricing with gain seeking reference price effects we study a dynamic pricing problem of a firm facing reference price effects at an aggregate demand level where demand is more sensitive to gains than losses we find that even the myopic pricing strategy belongs to one type of discontinuous maps which can exhibit complex dynamics over time our numerical examples show that in general the optimal pricing strategies may not admit any simple characterizations and the resulting reference price price dynamics can be very complicated we then show for a special case that a cyclic skimming pricing strategy is optimal and we provide conditions to guarantee the optimality of high low pricing strategies

reference effects of price and promotion on brand choice behavior when consumers are exposed to pricing and promotional activity by frequently purchased packaged goods they may develop expectations that are used as points of reference in evaluating future activi

differentiated price loss aversion in destination choice the effect of tourists cultural interest abstract this article looks into the differentiated effects of loss aversion depending on whether individuals show cultural interest when choosing a destination based on the fact that perceived value implies not only sacrifices but also the expectations of a certain level of quality and prospects of satisfaction together with the idea the prospect theory applies to tourism prices the article states the hypothesis that interest in culture when choosing a destination lowers people s loss aversion by incorporating the reference dependent model into a multinomial logit model with random parameters which controls for heterogeneity the empirical application shows that culture interested tourists are less loss averse i e the negative effect of finding a higher than expected price diminishes with cultural interest the expectation of enjoyment of these attributes and the more conscious attitude toward maintenance restoration activities of cultural sites are hypothesized to lead prices to be evaluated differently when selecting a destination

an investigation of reference price segments abstract empirical research on reference price has typically assumed that consumers use either an internal reference price irp or an external reference price erp but not both in brand choice decisions in this article the authors assume that consumers use both irp and erp but may consider one of them more salient than the other the authors develop a model that segments consumers on the basis of the differences in the importance they assign to each type of reference price as well as in their brand preferences and responses to marketing mix variables the authors calibrate the model on data for four categories liquid detergents ketchup tissue and yogurt in all four categories the proposed model performs significantly better than the one that assumes that consumers use either irp or erp exclusively the authors discuss the managerial implications of this finding

the effects of consumers price expectations on sellers dynamic pricing strategies abstract the authors propose a dynamic market equilibrium model to investigate how consumers form price expectations and how these expectations influence their sequential search behavior and prices in the market they derive a perfect bayesian nash equilibrium and show that whereas higher current period prices induce search consumers who observe higher historical prices form higher price expectations become more pessimistic and search less furthermore the authors show that when prices increase as a result of an increase in marginal costs consumers respond by searching more which then leads to higher prices and instant price adjustment in contrast because consumer search activities decline when prices fall sellers may respond by lowering their prices just enough to dampen consumers search tendencies when costs decrease the authors test their theoretical model and its implications and find support for it in a series of simulated market experiments

are the disabled less loss averse evidence from a natural policy experiment i introduction a large literature points to differences in cognitive bias among diverse populations according to lunn and lyons 2010 lower income less educated and older populations are more prone to decision making that deviates from economic rationality also see mather et al 2012 and tymula et al 2013 however as discussed by lunn and lyons 2010 little is known about the decision making biases of other vulnerable populations notably the physically disabled or implications thereof for their economic well being in this study we examine differences in cognitive bias and behavioral heuristics among nondisabled and physically disabled populations specifically using data from a unique israeli government natural policy experiment we assess loss aversion among nondisabled and disabled populations in the decision to purchase a home our empirical tests are motivated by previous findings in physiology and psychology showing that disabled persons often develop physical and mental mechanisms to help compensate for disabilities according to bishop 2005 disabled persons utilize such coping mechanisms to minimize gaps caused by their impairments as further suggested by devins et al 1983 yoshida 1993 livneh and antonak 1997 and bishop and feist price 2002 such strategies and mechanisms allow disabled persons increased control over their health and environment specifically nirje 1972 sands and wehmeyer 1996 and wehmeyer 1998 suggest that disabled populations seek compensatory mechanisms to enhance autonomy efficacy self reliance and self management among noteworthy examples cattaneo and vecchi 2011 summarize a long series of studies indicating the development of compensatory mechanisms among visually impaired persons results of those analyses indicate enhanced nonvisual perceptual sensorial and cortical level abilities among the visually disabled e g amedi et al 2003 crawford et al 2008 hamilton pascual leone and schlaug 2004 hull and mason 1995 muchnick et al 1991 roder rosier and neville 2001 niemeyer and starlinger 1981 in other recent work keysar hayakawa and an 2012 provide evidence of compensatory cognitive mechanisms among persons with language impairments results of experimental analysis indicate diminished decision biases and reduced loss aversion among non native language speakers the authors hypothesize that use of a foreign language reduces the opportunity for spontaneous response and results in a more consciously measured and considered mode of thinking 1 as with visually or language impaired persons the compensatory mechanisms acquired by physically disabled persons may extend beyond the psychophysiological domain to include cognitive adjustments indeed as discussed by stanovich and west 2000 lower levels of cognitive bias could compensate for physical disability and provide for improved coping prospects over the past decade the israeli government sought to privatize public housing via an offer to sell rental units to tenants at a discount from the market price the algorithms utilized by the government to determine the magnitudes of the price reductions varied over time furthermore the price reductions were not forecastable among targeted program participants tenants had the opportunity to either accept or decline government sales offers extended at each successive program iteration our research employs survival analysis to specify and empirically test whether physically nondisabled and disabled tenants exhibited different degrees of loss aversion behavior in their home purchase decisions 2 as first described by kahneman and tversky 1979 loss aversion pertains to household behavior when the aggravation that one experiences in losing a sum of money appears to be greater than the pleasure associated with gaining the same amount p 279 in experimental work tversky and kahneman 1992 find that under even odds for winning and losing the gain should be at least twice as large as the loss for a prospect to be acceptable whereas putler 1992 finds for example that consumers are two and a half times more responsive to price increases that are in excess of the reference price than they are to comparable price declines

structural estimation of a model of school choices the boston mechanism vs its alternatives we model household choice of schools under the boston mechanism bm and develop a new method applicable to a broad class of mechanisms to fully solve the choice problem even if it is infeasible

resolving conflicting preferences in school choice the boston mechanism reconsidered the boston mechanism is among the most popular school choice pro cedures in use yet the mechanism has been criticized for its poor incentive and welfare performances which led the boston public schools to recently replace it with gale and shapley s deferred acceptance algorithm henceforth da the da elicits truthful revelation of ordinal preferences whereas the boston mechanism does not but the latter induces participants to reveal their cardinal preferences i e their relative preference intensities whereas the former does not we show that cardinal preferences matter more when families have similar ordinal preferences and schools have coarse priorities two common features of many school choice environ ments speci cally when students have the same ordinal preferences and schools have no priorities the boston mechanism pareto dominates the da in ex ante wel fare the boston mechanism may not harm but rather bene t participants who may not strategize well in the presence of school priorities the boston mechanism also tends to facilitate a greater access than the da to good schools by those lack ing priorities at those schools these results contrast with the standard view and cautions against a hasty rejection of the boston mechanism in favor of mechanisms such as the da

reference price and price perceptions a comparison of alternative models reference price effects on consumer price perceptions are often explained by helson s adaptation level theory in which the cognitive representation of reference price is the prototype of the relevant category however recent conceptualizations and empirical evidence suggest the possibility of an exemplar model which may be specified using volkmann s range theory or parducci s range frequency theory in two experiments these three contextual models of reference price effects are pitted against one another based on the manova and model fitting range frequency theory accounted for reference price effects that the other theories could not suggesting that consumers compare the target price against specific members of the category rather than the category prototype a third experiment demonstrated that range and frequency effects are moderated by the stimulus presentation condition suggesting that consumers place greater weight on extreme prices anchoring the range for internal reference prices than for external reference prices

demand analysis using strategic reports an application to a school choice mechanism several school districts use assignment systems that give students an incentive to misrepresent their preferences we find evidence consistent with strategic behavior in cambridge such strategizing can complicate preference analysis this paper develops empirical methods for studying random utility models in a new and large class of school choice mechanisms we show that preferences are non parametrically identified under either sufficient variation in choice environments or a preference shifter we then develop a tractable estimation procedure and apply it to cambridge estimates suggest that while 82 of students are assigned to their stated first choice only 72 are assigned to their true first choice because students avoid ranking competitive schools assuming that students behave optimally the immediate acceptance mechanism is preferred by the average student to the deferred acceptance mechanism by an equivalent of 0 08 miles the estimated difference is smaller if beliefs are biased and reversed if students report truthfully

hysteresis price acceptance and reference prices the existence of price thresholds in grocery retailing is well documented most authors explain the existence of price thresholds using assimilation contrast theory adaptation level theory or prospect theory however each of these theories is untenable if consumers are believed to behave rationally we offer a theoretical explanation grounded in real options theory rot and economic hysteresis we test the rot hypothesis against three plausible alternatives using a maximum likelihood friction model that we augment for unobserved heterogeneity our findings support the rot hypothesis and suggest that the existence of price thresholds in aggregate data are driven by a common recognition of real option values which do not disappear with the inclusion of consumer heterogeneity

the cross price effect on willingness to pay estimates in open ended contingent valuation abstract previous literature has shown that potential buyers use a reference price or product to form their opinion about the value of a new product therefore the pricing decision is an interactive process we investigate the two generalizations of the cross price effect the neighborhood price effect and the asymmetric price effect on consumer willingness to pay wtp for multiple similar products in an open ended contingent valuation context results show that the cross price effect on wtp is prominent with the neighborhood price effect holding in contingent valuation no conclusions are reached about the asymmetric price effect

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