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Maximum Likelihood Equilibria of Games with Population Uncertainty

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  • Voorneveld, M.

    (Tilburg University, Center for Economic Research)

Abstract

In the games with population uncertainty introduced in this paper, the number and identity of the participating players are determined by chance.Games with population uncertainty are shown to include Poisson games and random-player games.The paper focuses on those strategy profiles that are most likely to yield a Nash equilibrium in the game selected by chance.Existence of maximum likelihood equilibria is established under mild topological conditions.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2000-79.

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Date of creation: 2000
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Handle: RePEc:dgr:kubcen:200079

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Web page: http://center.uvt.nl

Related research

Keywords: Incomplete information; population uncertainty; maximum likelihood equilibria;

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  1. Roger B. Myerson, 1998. "Comparison of Scoring Rules in Poisson Voting Games," Discussion Papers 1214, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Roger B. Myerson, 1998. "Population uncertainty and Poisson games," International Journal of Game Theory, Springer, vol. 27(3), pages 375-392.
  3. Gilboa, I. & Schmeidler, D., 2001. "Inductive Inference: An Axiomatic Approach," Papers 2001-19, Tel Aviv.
  4. Roger B. Myerson, 1997. "Large Poisson Games," Discussion Papers 1189, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Roger B. Myerson, 1994. "Extended Poisson Games and the Condorcet Jury Theorem," Discussion Papers 1103, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Igal Milchtaich, 1997. "Random-Player Games," Discussion Papers 1178, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  7. Borm, P.E.M. & Cao, R. & GarcĂ­a-Jurado, I., 1995. "Maximum likelihood equilibria of random games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-146553, Tilburg University.
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