Robust Monopoly Pricing
We consider a robust version of the classic problem of optimal monopoly pricing with incomplete information. In the robust version of the problem the seller only knows that demand will be in a neighborhood of a given model distribution. We characterize the optimal pricing policy under two distinct, but related, decision criteria with multiple priors: (i) maximin expected utility and (ii) minimax expected regret. While the classic monopoly policy and the maximin criterion yield a single deterministic price, minimax regret always prescribes a random pricing policy, or equivalently, a multi-item menu policy. The resulting optimal pricing policy under either criterion is robust to the model uncertainty. Finally we derive distinct implications of how a monopolist responds to an increase in ambiguity under each criterion.
|Date of creation:||Jul 2005|
|Date of revision:||Apr 2007|
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- Dirk Bergemann & Karl H Schlag, 2007.
"Pricing without Priors,"
122247000000001557, UCLA Department of Economics.
- Andreas Pape & Subir Bose & Emre Ozdenoren, 2004.
"Optimal auctions with ambiguity,"
Econometric Society 2004 North American Summer Meetings
609, Econometric Society.
- Itzhak Gilboa & David Schmeidler, 1989.
"Maxmin Expected Utility with Non-Unique Prior,"
- Kim-Sau Chung & Jeffrey C. Ely, 2001.
"Implementation with Near-Complete Information,"
1332, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Emel Filiz-Ozbay & Erkut Y. Ozbay, 2007. "Auctions with Anticipated Regret: Theory and Experiment," American Economic Review, American Economic Association, vol. 97(4), pages 1407-1418, September.
- Oechssler, Jorg & Riedel, Frank, 2002.
"On the Dynamic Foundation of Evolutionary Stability in Continuous Models,"
Journal of Economic Theory,
Elsevier, vol. 107(2), pages 223-252, December.
- Joerg Oechssler & Frank Riedel, 2000. "On the Dynamic Foundation of Evolutionary Stability in Continuous Models," Game Theory and Information 0004004, EconWPA.
- Jörg Oechssler & Frank Riedel, 2000. "On the Dynamic Foundation of Evolutionary Stability in Continuous Models," Bonn Econ Discussion Papers bgse7_2000, University of Bonn, Germany.
- Oechssler, Jörg & Riedel, Frank, 2000. "On the dynamic foundation of evolutionary stability in continuous models," SFB 373 Discussion Papers 2000,73, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Emel Filiz & Erkut Y. Ozbay, 2005. "Auctions with Anticipated Regret," Experimental 0511006, EconWPA.
- Sujoy Mukerji & Peter Klibanoff, 2002.
"A Smooth Model of Decision,Making Under Ambiguity,"
Economics Series Working Papers
113, University of Oxford, Department of Economics.
- Prasad Kislaya, 2003. "Non-robustness of some economic models," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-9, May.
- Bulow, Jeremy & Roberts, John, 1989. "The Simple Economics of Optimal Auctions," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1060-90, October.
- Hayashi, Takashi, 2008. "Regret aversion and opportunity dependence," Journal of Economic Theory, Elsevier, vol. 139(1), pages 242-268, March.
- Ludovic Renou & Karl Schlag, 2008.
"Minimax regret and strategic uncertainty,"
Economics Working Papers
1087, Department of Economics and Business, Universitat Pompeu Fabra.
- F J Anscombe & R J Aumann, 2000. "A Definition of Subjective Probability," Levine's Working Paper Archive 7591, David K. Levine.
- Richard Engelbrecht-Wiggans & Elena Katok, 2007. "Regret in auctions: theory and evidence," Economic Theory, Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 81-101, October.
- JÃrg Oechssler & Frank Riedel, 2001.
"Evolutionary dynamics on infinite strategy spaces,"
Society for the Advancement of Economic Theory (SAET), vol. 17(1), pages 141-162.
- Oechssler, Joerg & Frank Riedel, 1999. "Evolutionary Dynamics on Infinite Strategy Spaces," Discussion Paper Serie A 606, University of Bonn, Germany.
- Joerg Oechssler & Frank Riedel, 1998. "Evolutionary Dynamics on Infinite Strategy Spaces," Game Theory and Information 9805002, EconWPA, revised 12 May 1998.
- Oechssler, Jörg & Riedel, Frank, 1998. "Evolutionary dynamics on infinite strategy spaces," SFB 373 Discussion Papers 1998,68, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Richard Engelbrecht-Wiggans, 1989. "The Effect of Regret on Optimal Bidding in Auctions," Management Science, INFORMS, vol. 35(6), pages 685-692, June.
- Raymond J. Deneckere & R. Preston McAfee, 1996.
Journal of Economics & Management Strategy,
Wiley Blackwell, vol. 5(2), pages 149-174, 06.
- Daniel Ellsberg, 2000. "Risk, Ambiguity and the Savage Axioms," Levine's Working Paper Archive 7605, David K. Levine.
- Che, Yeon-Koo & Gale, Ian, 2000. "The Optimal Mechanism for Selling to a Budget-Constrained Buyer," Journal of Economic Theory, Elsevier, vol. 92(2), pages 198-233, June.
- Linhart, P. B. & Radner, R., 1989. "Minimax-regret strategies for bargaining over several variables," Journal of Economic Theory, Elsevier, vol. 48(1), pages 152-178, June.
- Ilya Segal, 2003. "Optimal Pricing Mechanisms with Unknown Demand," American Economic Review, American Economic Association, vol. 93(3), pages 509-529, June.
- Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-24, December.
- Harris, Milton & Raviv, Artur, 1981. "A Theory of Monopoly Pricing Schemes with Demand Uncertainty," American Economic Review, American Economic Association, vol. 71(3), pages 347-65, June.
- Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
- Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
- Chamberlain, Gary, 2000. "Econometrics and decision theory," Journal of Econometrics, Elsevier, vol. 95(2), pages 255-283, April.
- Stoye, Jörg, 2011. "Axioms for minimax regret choice correspondences," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2226-2251.
- Jörg Stoye, 2011. "Statistical decisions under ambiguity," Theory and Decision, Springer, vol. 70(2), pages 129-148, February.
- Neeman, Zvika, 2003. "The effectiveness of English auctions," Games and Economic Behavior, Elsevier, vol. 43(2), pages 214-238, May.
- John Riley & Richard Zeckhauser, 1983. "Optimal Selling Strategies: When to Haggle, When to Hold Firm," The Quarterly Journal of Economics, Oxford University Press, vol. 98(2), pages 267-289.
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