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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- Sujoy Mukerji & Peter Klibanoff, 2002.
"A Smooth Model of Decision,Making Under Ambiguity,"
Economics Series Working Papers
113, University of Oxford, Department of Economics.
- 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.
- 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, 2007. "A Dynamic Mechanism and Surplus Extraction Under Ambiguity," Birkbeck Working Papers in Economics and Finance 0716, Birkbeck, Department of Economics, Mathematics & Statistics.
- 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.
- Kos, Nenad & Messner, Matthias, 2013.
"Extremal incentive compatible transfers,"
Journal of Economic Theory,
Elsevier, vol. 148(1), pages 134-164.
- Andreas Pape & Subir Bose & Emre Ozdenoren, 2004.
"Optimal auctions with ambiguity,"
Econometric Society 2004 North American Summer Meetings
609, Econometric Society.
- Dirk Bergemann & Karl Schlag, 2005.
"Robust Monopoly Pricing,"
Cowles Foundation Discussion Papers
1527RR, Cowles Foundation for Research in Economics, Yale University, revised Sep 2008.
- Dirk Bergemann & Karl Schlag, 2007. "Robust Monopoly Pricing," Levine's Bibliography 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.
- repec:cup:cbooks:9780521517324 is not listed on IDEAS
- 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.
- Azrieli, Yaron & Teper, Roee, 2009.
"Uncertainty aversion and equilibrium existence in games with incomplete information,"
17617, University Library of Munich, Germany.
- 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.
- 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.
- repec:cup:cbooks:9780521741231 is not listed on IDEAS
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