Ambiguous beliefs and mechanism design
This paper develops a payoff equivalence theorem for mechanisms with ambiguity averse participants with preferences of the Maxmin Expected Utility (MEU) form (Gilboa and Schmeidler, 1989). We use our payoff equivalence result to explicitly characterize the revenue maximizing private value auction mechanism for agents with arbitrary forms of ambiguous beliefs. We also show that the revenue ranking between first and second price auctions is sensitive to the form of ambiguity aversion. Our payoff equivalence techniques allow us to study the constrained efficient, budget balanced bilateral trade mechanism and show that increased ambiguity improves the efficiency of the mechanism. In addition, we characterize the revenue maximizing, efficient bilateral trade mechanism and show that heightened ambiguity lowers ex ante budget deficits.
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- Truman F. Bewley, 1986. "Knightian Decision Theory: Part 1," Cowles Foundation Discussion Papers 807, Cowles Foundation for Research in Economics, Yale University.
- Itzhak Gilboa & David Schmeidler, 1989.
"Maxmin Expected Utility with Non-Unique Prior,"
- Maskin, Eric S & Riley, John G, 1984.
"Optimal Auctions with Risk Averse Buyers,"
Econometric Society, vol. 52(6), pages 1473-1518, November.
- David Ahn & Syngjoo Choi & Douglas Gale & Shachar Kariv, 2008.
"Estimating Ambiguity Aversion in a Portfolio Choice Experiment,"
Levine's Working Paper Archive
122247000000001989, David K. Levine.
- David Ahn & Syngjoo Choi & Douglas Gale & Shachar Kariv, 2014. "Estimating ambiguity aversion in a portfolio choice experiment," Quantitative Economics, Econometric Society, vol. 5, pages 195-223, 07.
- Andreas Pape & Subir Bose & Emre Ozdenoren, 2004.
"Optimal auctions with ambiguity,"
Econometric Society 2004 North American Summer Meetings
609, Econometric Society.
- Salo, Ahti A & Weber, Martin, 1995. "Ambiguity Aversion in First-Price Sealed-Bid Auctions," Journal of Risk and Uncertainty, Springer, vol. 11(2), pages 123-37, September.
- Roger B. Myerson & Mark A. Satterthwaite, 1981.
"Efficient Mechanisms for Bilateral Trading,"
469S, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- John G. Riley & William Samuelson, 1979.
UCLA Economics Working Papers
152, UCLA Department of Economics.
- Kin Chung Lo, 1998. "Sealed bid auctions with uncertainty averse bidders," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(1), pages 1-20.
- Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February.
- Levin, Dan & Ozdenoren, Emre, 2004. "Auctions with uncertain numbers of bidders," Journal of Economic Theory, Elsevier, vol. 118(2), pages 229-251, October.
- Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
- Itzhak Gilboa & Massimo Marinacci, 2011. "Ambiguity and the Bayesian Paradigm," Working Papers 379, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- 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.
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