an exploration of the positive effect of inequality on common property forests abstract this paper analyzes the household level forces driving the positive impact of inequality on common property forest cover in mexico a game theoretic model demonstrates that when common property goods are complementary to private inputs in production an increase in wealth inequality can lead to a decrease in exploitation of the commons data from 350 mexican common properties show that as inequality increases those on the lower end of the land distribution are less likely to use the commons the data also show a negative correlation between inequality and poverty alternative hypotheses for these results are considered

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

price commitment in search markets abstract this paper studies the formation of pricing rules in search markets at a cost each seller can commit himself to a fixed price if he takes no actions to preclude haggling his sales price is determined through bilateral negotiations with the buyer the selection of pricing rules exhibits strategic complementarities that may give rise to multiple equilibria differences in trading practices across countries and cultures may thus be consistent with equilibrium behavior in bazaar markets where the buyer s cost of switching sellers is relatively low most of the trade is conducted via bargaining and prices are close to the perfectly competitive outcome

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

imperfect price discrimination and welfare we develop a model in which a monopolist uses differences across consumers in their valuation of time to imperfectly price discriminate though it is customary to analyse price discrimination problems by the calculus of variations after postulating a continuum of types we assume a finite number of types and exploit the geometry and duality of the contract set and the structure of the programming specification we analyse in detail the qualitative properties of the model s solution and show by construction that our results exhaust the implications of the model for equilibrium contract pairs we show that imperfect discrimination is not bounded in welfare terms between perfect discrimination and single price monopoly and that the deadweight loss consumer surplus and output comparisons between single price monopoly and imperfect discrimination are ambiguous

race and gender discrimination in bargaining for a new car more than three hundred paired audits at new car dealerships reveal that dealers quoted significantly lower prices to white males than to black or female test buyers using identical scripted bargaining strategies ancillary evidence suggests that the dealerships disparate treatment of women and blacks may be caused by dealers statistical inferences about consumers reservation prices but the data do not strongly support any single theory of discrimination copyright 1995 by american economic association

posted prices versus bargaining in markets with asymmetric information i introduction the spirited bargaining of the bazaar has been the predominant price setting mechanism in most producer and consumer markets in the western world for many centuries whereas the use of posted prices to optimize profits is a relatively recent phenomenon 1 the ascent and eventual widespread use of posted prices began in 1823 2 when alexander stewart introduced posted prices in his new york dry goods store the forerunner of his famed marble dry goods palace 3 originally considered a gimmick the advent of this revolution in retail pricing became evident as his store grew to become the largest in the u s and other famous merchants followed his lead 4 currently both bargaining and posted prices are common means of establishing trading prices the purpose of this paper is to provide a model of pricing institutions consistent with the fact that some markets witness posted prices while others witness bargaining in order to predict when each of these mechanisms will be utilized our modeling begins with a single seller who sequentially encountering potential buyers seeks to sell a good by using one of two pricing mechanisms a posted price or bargaining and a population of consumers who are distinguished by two characteristics each buyer has a private value v for the good and a bargaining ability gamma a buyer s bargaining ability reflects the proportion of the gains from trade he captures when bargaining with the seller these characteristics are distributed independently across the population of consumers according to random variables v and gamma search costs discount factors and the distributions of v and gamma are all common knowledge our assumption that bargaining ability differs across buyers is easily motivated one explanation emanates from buyers possessing different discount factors then by rubinstein s 1982 result more patient buyers exhibit better bargaining ability and acquire a larger share of the gains from trade an alternative and compelling source of bargaining ability is provided by diamond 1987 279 who speaks of the reality of actual markets in which infrequent traders are often ill informed thereby creating an incentive for sellers to find consumers whose beliefs make them willing to trade at high prices similarly stigler 1961 218 19 notes the widely held view that inexperienced buyers tourists pay higher prices than do experienced buyers the relevance of buyer information and experience to the seller s choice of a selling mechanism is underscored by macy s advertisements from the 1850s which stated that prior to the use of posted prices by macy s there was no regular price for anything and the most ignorant were the most imposed upon while with posted prices a child can trade with us as cheap as the shrewdest buyer in the country scull 1967 83 5 other sources of differential bargaining ability include differences in the opportunity cost of failing to reach an agreement the existence of outside opportunities risk aversion willpower and the buyer s intrinsic poker face or ability to conceal the maximum amount he is willing to pay as we shall see the observability or non observability of the buyer s characteristics v and gamma is not important in addition the source of the buyer s bargaining ability gamma is not important what is important is that a buyers differ from one another b there is some reasonable way of determining whether or not trade occurs and how the gains from trade are divided between the seller and a buyer with a given characteristic pair and c the bargaining process differs with different buyers in particular when bargaining with a weak buyer the seller acquires a greater portion of the gains from trade than when bargaining with a strong buyer 6 in our model buyers willing to trade at high prices are characterized by a high private value v and a low bargaining ability gamma

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

nash s theory of cooperative games as a predictor of the outcomes of buyer seller negotiations an experiment in media purchasing the authors report an experimental investigation of the ability of nash s theory of cooperative games to predict the outcomes of buyer seller negotiations using the purchase of media time as an ex

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

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

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

let me talk to my manager haggling in a competitive environment although negotiating over prices with sellers is common in many markets such as automobiles furniture services consumer electronics etc it is not clear how a haggling price policy can help a firm gain a strategic advantage or whether it is even sustainable in a competitive market in this paper we explore the implications of haggling and fixed prices as pricing policies in a competitive market we develop a model in which two competing retailers choose between offering either a fixed price or haggling over prices with customers there are two consumer segments in our analysis one segment thehagglers has a lower opportunity cost of time and a lower haggling cost than the other segment thenonhagglers when both retailers follow the same pricing policy then a haggling policy is more profitable than a fixed price policy only when the proportion of nonhagglers is sufficiently high we find two kinds of prisoners dilemma under some conditions a more profitable haggling policy can be broken by a fixed price policy and under other conditions a fixed price policy can be broken by a haggling policy surprisingly we show that under some conditions an asymmetric outcome with one retailer haggling and the other offering a fixed price is also an equilibrium

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

optimal selling strategies when to haggle when to hold firm a seller encountering risk neutral buyers one at a time should if commitments are feasible quote a single take it or leave it price to each this strategy is superior to any other for finite or infinite buyer populations whether there is learning or the distribution of buyer prices is known at the outset with one object for sale or many although haggling may offer advantages in terms of price discrimination these gains are more than offset by the losses it generates by encouraging buyers to refuse purchases at high prices

a price discrimination theory of coupons the objective of this paper is to analyze the consumer s decision in electing to use cents off coupons distributed by manufacturers of consumer products arguing that the decision to use coupons is based on the tradeoff between costs of using coupons and the savings obtained it is shown that coupons can serve as a price discrimination device to provide a lower price to a particular segment of consumers based on a price theoretic model it is shown that the users of coupons are more price elastic than nonusers of coupons and that the opportunity cost of time and other household resource variables are determinant factors in consumers decisions implications derived from the model are tested using diary panel data

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

noncooperative bargaining and spatial competition the article develops a bargaining model of spatial competition sellers compete by choosing locations in a market region consumers face a cost to moving from one place to another the price of the good is determined as the perfect equilibrium of a bargaining game between seller and buyer in this game the buyer has the outside option to move to another seller and so the prices at all stores are interdependent existence of a location price equilibrium is established the outcome approaches the perfectly competitive one if the consumer s cost of traveling becomes negligible or if the number of sellers tends to infinity copyright 1989 by the econometric society

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

a bargaining theory of distribution channels abstract a critical factor in channel relationships between manufacturers and retailers is the relative bargaining power of both parties in this article the authors develop a framework to examine bargaining between channel members and demonstrate that the bargaining process actually affects the degree of coordination and that two part tariffs will not be part of the market contract even in a simple one manufacturer one retailer channel to establish the institutional and theoretical bases for these results the authors relax the conventional assumption that the product being exchanged is completely specifiable in a contract they show that the institution of bargaining has force and it affects channel coordination when the complexity of nonspecifiability of the product exchange is present the authors find that greater retailer power promotes channel coordination thus there are conditions in which the presence of a powerful retailer might actually be beneficial to all channel members the authors rec

selling formats for search goods the paper offers a comparative analysis of different ways to sell products selling formats when buyers incur evaluation costs since these costs are sunk at the moment of trade buyers may refrain from incurring them for fear of later opportunism on the part of sellers it is found that the use of many common selling formats can be explained in terms of their ability to alleviate this problem specifically i explain price advertising seller colocation and bargaining the theory explains much of the divergence in retail trading institutions and leads to several testable predictions

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

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

third degree price discrimination in oligopoly all out competition and strategic commitment price discrimination by imperfectly competitive firms may intensify competition leading to lower prices for all consumers the tradeoff of consumer groups welfare that is characteristic of monopolistic discrimination need not arise this escalation of competition may make firms worse off and as a result firms may wish to avoid the discriminatory outcome under conditions similar to those in which unambiguous price and welfare effects may arise unilateral commitments not to price discriminate including the adoption of everyday low pricing or no haggle policies may raise firm profits by softening price competition

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

market research and innovation strategy in a duopoly we model a duopoly in which ex ante identical firms must decide where to direct their innovation efforts the firms face market uncertainty about consumers preferences for innovation on two product attributes and technology uncertainty about the success of their research and development r d investments firms can conduct costly market research before setting r d strategy we find that the value of market information to a firm depends on whether its rival is expected to obtain this information in equilibrium consequently one firm may forgo market research even though its rival conducts such research and learns the true state of demand we examine both vertical and horizontal demand structures with vertical preferences firms are a priori uncertain about which attribute all consumers will value more in this case a firm that conducts market research always attempts innovation on the attribute it discovers that consumers prefer and expends more on r d than a rival that has not conducted market research with horizontal preferences distinct segments exist each caring about innovation on only one attribute and firms are a priori uncertain how many consumers each segment contains in this case a firm that conducts market research may follow a niche strategy and attempt innovation to serve the smaller segment to avoid intense price competition for the larger segment a firm that conducts market research may therefore invest less in r d and earn lower postlaunch profits than a rival that has forgone such research

supermarket competition the case of every day low pricing every day low pricing edlp strategy has proved to be a successful innovation resulting in higher profits to supermarkets adopting it in competition with promotional pricing promo conventional wisdom attributes this success either to lower costs or to edlp better serving time constrained consumers while discouraging cherry pickers who seek promotions however it is unclear that such cost savings are being fully realized since edlp stores also engage in price promotions also continued existence of promo stores means that costs are not the only factor and they compete effectively without relying just on the cherry pickers furthermore experimental evidence suggests that a supermarket cannot obtain higher profits by merely setting constant low prices leading to the question exactly what makes edlp successful this question is of particular relevance to both academics and practitioners who have been intrigued by the success of this retailing strategy more generally the retailing issues addressed in this paper the economic analysis of competition and the empirical findings should be of interest to the broader community of researchers and managers we investigate the factors contributing to edlp s success by analyzing the competition between supermarkets through a game theoretic analysis of a market consisting of both time constrained consumers and cherry pickers key features of our model are consumers shop and purchase a basket of goods based on price announcements by stores and rational expectations of unannounced prices stores carry more than one good and compete through prices service convenience and appropriate communication strategies and no exogenous cost asymmetries we derive the conditions under which retailers choosing different strategies edlp and promo is a perfect nash equilibrium our analysis shows that the edlp store s offering of constant every day low prices is an equilibrium outcome endogenously determined successful implementation of the edlp strategy involves communication of relative basket prices implying that merely setting constant low prices is not viable we further demonstrate that while time constrained consumers find every day low prices at edlp attractive and cherry pickers the promotions at promo clientele effects are in fact more complicated specifically in equilibrium the promo store offers a higher service level as desired by time constrained consumers and the edlp store a lower service level in keeping with the needs of cherry pickers this choice of service by the two stores results in a cleaner segmentation of the market the higher relative basket price and service at the promo store results in a larger base of time constrained consumers to shop at the promo store and a larger base of cherry pickers to shop at the edlp store even though some cherry pickers continue to visit the promo store to avail of the price specials in this way our results contradict the conventional wisdom on edlp strategy as being mainly geared towards time constrained consumers finally industry profits are higher in an edlp promo equilibrium than when stores adopt identical strategies our analysis and results also offer a more complete characterization of the edlp and promo strategies indeed we show that edlp and promo strategies are positioning strategies rather than merely pricing strategies with different elements price promotions service and communications while the edlp store uses basket prices to attract both segments the promo store uses service and price specials to compete in the time constrained and cherry picking segment respectively given these different approaches of the two stores the communication strategies of the edlp and the promo stores emphasize these differences as well in this way we show as suggested by corstjens and corstjens 1994 that positioning in a retail context involves developing multidimensional strategies appealing to all segments while each element of the strategy may focus on a different consumer segment this is in contrast to the traditional view of segmentation in which different products in a product line for example are designed to appeal to different segments we complete the analysis by examining the data from the trade press and a survey conducted in a major metropolitan area these data while limited in scope support our theoretical results

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

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

bargaining versus posted price selling abstract two popular selling methods bargaining and posted price selling are compared here in a dynamic model when bargaining costs no more than posted price selling we find that bargaining is always optimal when bargaining costs more however bargaining is still preferred if and only if the common cost for both selling methods is large enough we also find that an increase in the discount rate or the seller s bargaining power favors bargaining finally we find that if the distribution becomes more dispersed and the increase in a buyer s valuation is sufficiently large bargaining is more likely to be adopted

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