The Design of Ambiguous Mechanisms
This paper considers the optimal mechanism design problem of an expected revenue maximizing principal who wants to sell a single unit of a good to an agent who is ambiguity averse in the sense of Gilboa and Schmeidler (1989). We show that the optimal static mechanism is an ambiguous mechanism. An ambiguous mechanism specifies a message space and a set of outcome functions. After showing that (a version of) the Revelation Principle holds in our environment, we give an exact characterization of the (smallest) optimal ambiguous mechanism. If the type set is composed of N (finite) types, then the (smallest) optimal ambiguous mechanism contains N - 1 outcome functions. We show that the share of the surplus that the designer can extract from the agent increases as the type set becomes larger and the probability of each single type decreases. In the limiting case where the agent’s type is drawn from a non-atomic distribution on an interval, the optimal ambiguous mechanism extracts all the rent from the agent.
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- Lang, Matthias & Wambach, Achim, 2013.
"The fog of fraud – Mitigating fraud by strategic ambiguity,"
Games and Economic Behavior,
Elsevier, vol. 81(C), pages 255-275.
- Matthias Lang & Achim Wambach, 2010. "The fog of fraud – mitigating fraud by strategic ambiguity," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2010_24, Max Planck Institute for Research on Collective Goods.
- Dirk Bergemann & Karl Schlag, 2007.
"Robust Monopoly Pricing,"
321307000000000983, UCLA Department of Economics.
- Dirk Bergemann & Karl Schlag, 2005. "Robust Monopoly Pricing," Cowles Foundation Discussion Papers 1527R, Cowles Foundation for Research in Economics, Yale University, revised Apr 2007.
- Dirk Bergemann & Karl Schlag, 2005. "Robust Monopoly Pricing," Cowles Foundation Discussion Papers 1527R2, Cowles Foundation for Research in Economics, Yale University, revised Sep 2008.
- Jeff Ely, 2003.
"Foundations of Dominant Strategy Mechanisms,"
Theory workshop papers
658612000000000064, UCLA Department of Economics.
- Jeffrey C. Ely & Kim-Sau Chung, 2004. "Foundations of Dominant Strategy Mechanisms," Econometric Society 2004 North American Summer Meetings 169, Econometric Society.
- Kim-Sau Chung & Jeffrey C. Ely, 2003. "Foundations of Dominant Strategy Mechanisms," Discussion Papers 1372, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Bernard Elyakime & Jean-Jacques Laffont & Patrice Loisel & Quang Vuong, 1994.
"First-Price Sealed-Bid Auctions with Secret Reservation Prices,"
Annals of Economics and Statistics,
GENES, issue 34, pages 71-114.
- Elyakime, Bernard & Laffont, Jean-Jacques & Loisel, Patrice & Vuong, Quang, 1993. "First-Price Sealed-Bid Auctions with Secret Reservation Prices," IDEI Working Papers 27, Institut d'Économie Industrielle (IDEI), Toulouse.
- Andreas Pape & Subir Bose & Emre Ozdenoren, 2004.
"Optimal auctions with ambiguity,"
Econometric Society 2004 North American Summer Meetings
609, Econometric Society.
- Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005.
"A Smooth Model of Decision Making under Ambiguity,"
Econometric Society, vol. 73(6), pages 1849-1892, November.
- Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2002. "A smooth model of decision making under ambiguity," ICER Working Papers - Applied Mathematics Series 11-2003, ICER - International Centre for Economic Research, revised Apr 2003.
- Sujoy Mukerji & Peter Klibanoff, 2002. "A Smooth Model of Decision,Making Under Ambiguity," Economics Series Working Papers 113, University of Oxford, Department of Economics.
- Gilboa, Itzhak & Schmeidler, David, 1989.
"Maxmin expected utility with non-unique prior,"
Journal of Mathematical Economics,
Elsevier, vol. 18(2), pages 141-153, April.
- Garrett, Daniel F., 2014. "Robustness of simple menus of contracts in cost-based procurement," Games and Economic Behavior, Elsevier, vol. 87(C), pages 631-641.
- Azrieli, Yaron & Teper, Roee, 2011.
"Uncertainty aversion and equilibrium existence in games with incomplete information,"
Games and Economic Behavior,
Elsevier, vol. 73(2), pages 310-317.
- Azrieli, Yaron & Teper, Roee, 2009. "Uncertainty aversion and equilibrium existence in games with incomplete information," MPRA Paper 17617, University Library of Munich, Germany.
- Subir Bose & Arup Daripa, 2007.
"A Dynamic Mechanism and Surplus Extraction Under Ambiguity,"
Birkbeck Working Papers in Economics and Finance
0716, Birkbeck, Department of Economics, Mathematics & Statistics.
- Bose, Subir & Daripa, Arup, 2009. "A dynamic mechanism and surplus extraction under ambiguity," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2084-2114, September.
- Subir Bose & Arup Daripa, 2008. "A Dynamic Mechanism and Surplus Extraction Under Ambiguity," Discussion Papers in Economics 08/24, Department of Economics, University of Leicester.
- Turocy, Theodore L., 2008. "Auction choice for ambiguity-averse sellers facing strategic uncertainty," Games and Economic Behavior, Elsevier, vol. 62(1), pages 155-179, January.
- Nenad Kos & Matthias Messner, 2010.
"Extremal Incentive Compatible Transfers,"
359, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Gilboa,Itzhak, 2009.
"Theory of Decision under Uncertainty,"
Cambridge University Press, number 9780521517324, June.
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