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An Ascending Auction for Independent Values: Uniqueness and Robustness to Strategic Uncertainty

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Author Info
Dirk Bergemann () (Cowles Foundation, Yale University)
Stephen Morris (Dept. Economics, Princeton University)

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Abstract

We consider an single object auction environment with interdependent valuations and a generalized Vickrey-Clark-Groves allocation mechanism that allocates the object almost efficiently in a strict ex post equilibrium. If there is a significant amount of interdependence, there are multiple rationalizable outcomes of this direct mechanism and any other mechanism that allocates the object almost efficiently. This is true whether the agents know about each others' payoff types or not. We consider an ascending price dynamic version of the generalized VCG mechanism. When there is complete information among the agents of their payoff types, we show that the almost efficient allocation is the unique backward induction (i.e., extensive form rationalizable) outcome of the auction, even when there are multiple rationalizable outcomes in the static version. This example illustrates the role that open auctions may play in obtaining efficient allocations by reducing strategic uncertainty.

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File URL: http://cowles.econ.yale.edu/P/cd/d16a/d1600.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1600.

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Length: 14 pages
Date of creation: Jan 2007
Date of revision: Mar 2007
Publication status: Published in American Economic Review Papers and Proceedings, 97(2): 125-130, May 2007
Handle: RePEc:cwl:cwldpp:1600

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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Related research
Keywords: Dynamic auction Rationalizability Extensive form Uniqueness Strategic uncertainty

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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

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References listed on IDEAS
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  1. Gale, Douglas, 1995. "Dynamic Coordination Games," Economic Theory, Springer, vol. 5(1), pages 1-18, January.
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  2. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, MIT Press, vol. 115(2), pages 341-388, May. [Downloadable!] (restricted)
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  3. Guillermo Caruana & Liran Einav, 2008. "A Theory of Endogenous Commitment," Review of Economic Studies, Blackwell Publishing, vol. 75(1), pages 99-116, 01. [Downloadable!] (restricted)
  4. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September. [Downloadable!] (restricted)
  5. Abreu, Dilip & Sen, Arunava, 1990. "Subgame perfect implementation: A necessary and almost sufficient condition," Journal of Economic Theory, Elsevier, vol. 50(2), pages 285-299, April. [Downloadable!] (restricted)
  6. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July. [Downloadable!] (restricted)
  7. Dirk Bergemann & Stephen Morris, 2006. "Robust Implementation: The Case of Direct Mechanisms," Levine's Bibliography 122247000000001194, UCLA Department of Economics. [Downloadable!]
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  8. Brandenburger, Adam & Dekel, Eddie, 1987. "Rationalizability and Correlated Equilibria," Econometrica, Econometric Society, vol. 55(6), pages 1391-1402, November. [Downloadable!] (restricted)
  9. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September. [Downloadable!] (restricted)
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