Regular Prices and Sales

We study the properties of a profit-maximizing monopolist's optimal price distribution when selling to a loss-averse consumer, where (following Koszegi and Rabin (2006)) we assume that the consumer's reference point is her recent rational expectations about the purchase. If it is close to costless for the consumer to observe the realized price of the product, then – in a pattern consistent with several recently documented facts regarding supermarket pricing – the monopolist chooses low and variable “sale” prices with some probability and a high and sticky “regular” price with the complementary probability. Realizing that she will buy at the sale prices and hence that she will purchase with positive probability, the consumer chooses to avoid the painful uncertainty in whether she will get the product by buying also at the regular price. If it is more costly for the consumer to observe the realized price, then – in a pattern consistent with the pricing behavior of some other retailers (e.g. movie theaters) – the monopolist chooses a sticky price and holds no sales. In this case, a sale is less tempting and hence less effective in generating an expectation to purchase with positive probability. We also show that ex-ante competition for loyal consumers leads to sticky pricing while ex-post competition leads to marginal-cost pricing, and discuss several other extensions of the model.

[1]  Y. Shilony Mixed pricing in oligopoly , 1977 .

[2]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[3]  H. Varian A Model of Sales , 1980 .

[4]  R. Thaler Toward a positive theory of consumer choice , 1980 .

[5]  E. Gal‐Or Hotelling's spatial competition as a model of sales , 1982 .

[6]  J. Sobel,et al.  Cyclic Pricing by a Durable Goods Monopolist , 1984 .

[7]  Joel Sobel,et al.  The Timing of Sales , 1984 .

[8]  G. Erickson,et al.  The Role of Price in Multi-attribute Product Evaluations , 1985 .

[9]  Carl Davidson,et al.  Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model , 1986 .

[10]  Russell S. Winer,et al.  A reference price model of brand choice for frequently purchased products. , 1986 .

[11]  Stephen G. Cecchetti The frequency of price adjustment: A study of the newsstand prices of magazines , 1986 .

[12]  D. Fudenberg,et al.  Reputation and Equilibrium Selection in Games with a Patient Player , 1989 .

[13]  D. Kahneman,et al.  Experimental Tests of the Endowment Effect and the Coase Theorem , 1990, Journal of Political Economy.

[14]  Robert Jacobson,et al.  The Formation of Expected Future Price: A Reference Price for Forward-Looking Consumers , 1990 .

[15]  J. Sobel DURABLE GOODS MONOPOLY WITH ENTRY OF NEW CONSUMERS , 1991 .

[16]  A. Tversky,et al.  Loss Aversion in Riskless Choice: A Reference-Dependent Model , 1991 .

[17]  D. Kahneman,et al.  Anomalies: The Endowment Effect, Loss Aversion, and Status Quo Bias , 1991 .

[18]  Dan Kovenock,et al.  It takes two to tango: Equilibria in a model of sales , 1992 .

[19]  Manohar U. Kalwani,et al.  Consumer Price and Promotion Expectations: An Experimental Study , 1992 .

[20]  Bruce G. S. Hardie,et al.  Modeling Loss Aversion and Reference Dependence Effects on Brand Choice , 1993 .

[21]  R. Thaler,et al.  Myopic Loss Aversion and the Equity Premium Puzzle , 1993 .

[22]  A. Kashyap,et al.  Sticky Prices: New Evidence from Retail Catalogs , 1994 .

[23]  R. Thaler,et al.  Labor Supply of New York City Cabdrivers: One Day at a Time , 1997 .

[24]  G. Loewenstein,et al.  Wouldn't it be nice? Predicting future feelings. , 1999 .

[25]  Margaret E. Slade,et al.  Sticky prices in a dynamic oligopoly: An investigation of (s,S) thresholds , 1999 .

[26]  D. Kahneman,et al.  Well-being : the foundations of hedonic psychology , 1999 .

[27]  Prospect Theory and Asset Prices , 1999 .

[28]  Matthew Rabin,et al.  Diminishing Marginal Utility of Wealth Cannot Explain Risk Aversion , 2000 .

[29]  M. Rabin Risk Aversion and Expected Utility Theory: A Calibration Theorem , 2000 .

[30]  G. Loewenstein,et al.  Projection Bias in Predicting Future Utility , 2000 .

[31]  Liran Einav,et al.  Uniform Prices for Differentiated Goods: The Case of the Movie-Theater Industry , 2007 .

[32]  Andrew Caplin,et al.  Psychological Expected Utility Theory and Anticipatory Feelings , 2001 .

[33]  R. Thaler,et al.  Anomalies: Risk Aversion , 2001 .

[34]  Peter E. Rossi,et al.  Why Don't Prices Rise During Periods of Peak Demand? Evidence from Scanner Data , 2002 .

[35]  J. Rotemberg Customer Anger at Price Increases, Time Variation in the Frequency of Price Changes and Monetary Policy , 2002 .

[36]  Martin Pesendorfer Retail sales: a study of pricing behavior in supermarkets , 2002 .

[37]  Hugh Sibly Loss averse customers and price inflexibility , 2002 .

[38]  B. Kőszegi,et al.  The Impact of Consumer Loss Aversion on Pricing , 2004 .

[39]  M. Rabin,et al.  A Model of Reference-Dependent Preferences , 2006 .

[40]  Henry S. Farber,et al.  Is Tomorrow Another Day? The Labor Supply of New York City Cabdrivers , 2005, Journal of Political Economy.

[41]  J. Rotemberg Customer anger at price increases, changes in the frequency of price adjustment and monetary policy $ , 2005 .

[42]  D. Kahneman,et al.  The Boundaries of Loss Aversion , 2005 .

[43]  Emi Nakamura,et al.  Price Setting in a Forward-Looking Customer Market , 2005 .

[44]  J. Macdonald,et al.  How Firms Construct Price Changes: Evidence from Restaurant Responses to Increased Minimum Wages , 2006 .

[45]  R. Thaler,et al.  Individual Preferences, Monetary Gambles, and Stock Market Participation: A Case for Narrow Framing , 2006 .

[46]  A. Tversky,et al.  Prospect theory: an analysis of decision under risk — Source link , 2007 .

[47]  M. Eichenbaum,et al.  Reference Prices and Nominal Rigidities , 2008 .

[48]  B. Kőszegi,et al.  Competition and Price Variation When Consumers Are Loss Averse , 2008 .

[49]  Emi Nakamura Pass-Through in Retail and Wholesale , 2008 .

[50]  P. Kehoe,et al.  Temporary Price Changes and the Real Effects of Monetary Policy , 2008 .

[51]  Emi Nakamura,et al.  Five Facts about Prices: A Reevaluation of Menu Cost Models , 2008 .

[52]  Jidong Zhou,et al.  Reference Dependence and Market Competition , 2008 .

[53]  H. Farber Reference-Dependent Preferences and Labor Supply: The Case of New York City Taxi Drivers , 2008 .

[54]  J. Rotemberg,et al.  Altruistic Dynamic Pricing with Customer Regret , 2009 .

[55]  David Huffman,et al.  Reference Points and Effort Provision , 2009, SSRN Electronic Journal.

[56]  A. Fuster,et al.  Expectations as Endowments: Reference-Dependent Preferences and Exchange Behavior , 2009 .

[57]  Matthew Rabin,et al.  Reference-Dependent Consumption Plans , 2009 .

[58]  Fabian Herweg,et al.  Binary Payment Schemes: Moral Hazard and Loss Aversion , 2010 .

[59]  M. Peitz,et al.  Pricing and Information Disclosure in Markets with Loss-Averse Consumers , 2010 .

[60]  R. Spiegler Monopoly pricing when consumers are antagonized by unexpected price increases: a “cover version” of the Heidhues–Kőszegi–Rabin model , 2012 .

[61]  B. Kőszegi Utility from anticipation and personal equilibrium , 2010 .

[62]  Eric T. Anderson,et al.  Price Stickiness and Customer Antagonism , 2008 .

[63]  Justin R. Sydnor Over)insuring Modest Risks , 2010 .

[64]  Juanjuan Meng,et al.  research platform to scholars worldwide. New York City Cabdrivers ’ Labor Supply Revisited: Reference-Dependent Preferences with Rational-Expectations Targets for Hours and Income , 2008 .

[65]  Keith M. Marzilli Ericson,et al.  Expectations as Endowments: Evidence on Reference-Dependent Preferences from Exchange and Valuation Experiments , 2010 .

[66]  Nir Jaimovich,et al.  Reference Prices, Costs, and Nominal Rigidities , 2011 .

[67]  Emi Nakamura,et al.  Price setting in forward-looking customer markets , 2011 .

[68]  Consumer bounded rationality and rigidity/flexibility retail price patterns , 2012 .