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Large Non-Anonymous Repeated Games

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  • Nabil I. Al-Najjar
  • Rann Smorodinsky
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    Abstract

    Saborian [8], following Green [4], studies a class of repeated games where a player's payoff depends on his stage action and an anonymous aggregate outcome, and shows that long-run players behave myopically in any equilibrium of such games. In this paper we extend Sabourian's results to games where the aggregate outcome is not necessarily an anonymous function of players' actions, and where players strategies may depend non-anonymously on signals of other players' behavior. Our argument also provides a conceptually simpler proof of Green and Sabourian's analysis, showing how their basic result is driven by bounds on how many pivotal players there can be in a game.

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    File URL: http://www.kellogg.northwestern.edu/research/math/papers/1250.pdf
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    Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1250.

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    Date of creation: Dec 1998
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    Handle: RePEc:nwu:cmsems:1250

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    1. Sabourian, Hamid, 1990. "Anonymous repeated games with a large number of players and random outcomes," Journal of Economic Theory, Elsevier, vol. 51(1), pages 92-110, June.
    2. Pesendorfer, Wolfgang & Levine, David & Fudenberg, Drew, 1998. "When Are Nonanonymous Players Negligible?," Scholarly Articles 3203775, Harvard University Department of Economics.
    3. Green, Edward J., 1980. "Noncooperative price taking in large dynamic markets," Journal of Economic Theory, Elsevier, vol. 22(2), pages 155-182, April.
    4. Mailath, George J & Postlewaite, Andrew, 1990. "Asymmetric Information Bargaining Problems with Many Agents," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 351-67, July.
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