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Population uncertainty and Poisson games

  • Roger B. Myerson


    (Department of Managerial Economics and Decision Sciences, J.L. Kellogg Graduate School of Management, Northwestern University, Evanston, IL 60208-2009, USA)

A general class of models is developed for analyzing games with population uncertainty. Within this general class, a special class of Poisson games is defined. It is shown that Poisson games are uniquely characterized by properties of independent actions and environmental equivalence. The general definition of equilibrium for games with population uncertainty is formulated, and it is shown that the equilibria of Poisson games are invariant under payoff-irrelevant type splitting. An example of a large voting game is discussed, to illustrate the advantages of using a Poisson game model for large games.

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Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 27 (1998)
Issue (Month): 3 ()
Pages: 375-392

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Handle: RePEc:spr:jogath:v:27:y:1998:i:3:p:375-392
Note: Received December 1995/Revised version July 1997
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  1. Roger B. Myerson, 1997. "Large Poisson Games," Discussion Papers 1189, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
  3. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
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