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Incentive Compatibility in Large Games

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  • Nehring, K.

Abstract

We argue that large games are of analytical interest partly because they can be understood in terms of a unifying condition of incentive-compatibility, strategyproofness. In contrast to finite games, strategy-proofness applies not only to dominantstrategy equilibria, but also to a large class of Nash equilibria and to Bayesian Nash equilibria with independent types. Based on Kolmogorov''s zero-one law, it is also shown that Bayesian Nash equilibria coincide with a class of Nash equilibria in games of incomplete information when there is a countably infinite number of players and types are independent.

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Bibliographic Info

Paper provided by California Davis - Department of Economics in its series Department of Economics with number 95-16.

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Length: 18 pages
Date of creation: 1995
Date of revision:
Handle: RePEc:fth:caldec:95-16

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Postal: University of California Davis - Department of Economics. One Shields Ave., California 95616-8578
Phone: (530) 752-0741
Fax: (530) 752-9382
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Web page: http://www.econ.ucdavis.edu/
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Keywords: GAMES ; INFORMATION;

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  1. Al-Najjar, Nabil Ibraheem, 1995. "Decomposition and Characterization of Risk with a Continuum of Random Variables," Econometrica, Econometric Society, vol. 63(5), pages 1195-1224, September.
  2. Vives, X. & Mas-Colell, A., 1989. "Implementation in economies with a Continuum of Agents," UFAE and IAE Working Papers 129.90, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. Champsaur, Paul & Laroque, Guy, 1981. "Fair allocations in large economies," Journal of Economic Theory, Elsevier, vol. 25(2), pages 269-282, October.
  4. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
  5. Dubey, Pradeep & Mas-Colell, Andreau & Shubik, Martin, 1980. "Efficiency properties of strategies market games: An axiomatic approach," Journal of Economic Theory, Elsevier, vol. 22(2), pages 339-362, April.
  6. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  7. Armstrong, Thomas E. & Richter, Marcel K., 1984. "The core-walras equivalence," Journal of Economic Theory, Elsevier, vol. 33(1), pages 116-151, June.
  8. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
  9. Hammond, Peter J, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 263-82, April.
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