Robust Monopoly Pricing: The Case of Regret
AbstractWe consider a robust version of the classic problem of optimal monopoly pricing with incomplete information. The robust version of the problem is distinct in two aspects: (i) the seller minimizes regret rather than maximizes revenue, and (ii) the seller only knows that the true distribution of the valuations is in a neighborhood of a given model distribution. We characterize the robust pricing policy as the solution to a minimax problem for small and large neighborhoods. In contrast to the classic monopoly policy which is a single deterministic price, the robust policy is always a random pricing policy, or equivalently, a multi-item menu policy. The responsiveness of the robust policy to an increase in risk is determined by the curvature of the static profit function.
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Bibliographic InfoPaper provided by European University Institute in its series Economics Working Papers with number ECO2005/10.
Date of creation: 2005
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Monopoly; Optimal Pricing; Regret; Robustness;
Find related papers by JEL classification:
- C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-08-03 (All new papers)
- NEP-IND-2005-08-03 (Industrial Organization)
- NEP-MIC-2005-08-03 (Microeconomics)
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- Renou, Ludovic & Schlag, Karl H., 2010.
"Minimax regret and strategic uncertainty,"
Journal of Economic Theory,
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- Ludovic Renou & Karl H. Schlag, 2008. "Minimax regret and strategic uncertainty," Discussion Papers in Economics 08/2, Department of Economics, University of Leicester, revised Apr 2008.
- Ludovic Renou & Karl Schlag, 2008. "Minimax regret and strategic uncertainty," Economics Working Papers 1087, Department of Economics and Business, Universitat Pompeu Fabra.
- Takashi Hayashi, 2011. "Context dependence and consistency in dynamic choice under uncertainty: the case of anticipated regret," Theory and Decision, Springer, vol. 70(4), pages 399-430, April.
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