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Non-cooperative games with a continuum of players whose payoffs depend on summary statistics

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  • Michael T. Rauh

Abstract

We consider static non-cooperative games with a continuum of small players whose payoffs depend on their own actions and finitely many summary statistics of the aggregate strategy profile. We prove the existence of an equilibrium in pure strategies without any convexity restrictions on payoffs or the common action space. We show that this result applies to a broad class of monopolistic competition models. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Michael T. Rauh, 2003. "Non-cooperative games with a continuum of players whose payoffs depend on summary statistics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(4), pages 901-906, June.
    • Handle: RePEc:spr:joecth:v:21:y:2003:i:4:p:901-906
    DOI: 10.1007/s00199-001-0252-9
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    Citations

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    Cited by:

    1. Haomiao Yu, 2014. "Rationalizability in large games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 457-479, February.
    2. Rauh, Michael T., 2007. "Nonstandard foundations of equilibrium search models," Journal of Economic Theory, Elsevier, vol. 132(1), pages 518-529, January.
    3. Wei He & Yeneng Sun, 2018. "Conditional expectation of correspondences and economic applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 265-299, August.
    4. Kolpin, Van, 2009. "Pure strategy equilibria in large demographic summary games," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 132-141, July.
    5. Michael Rauh, 2005. "Complementarity, Search, and Price Dispersion," Game Theory and Information 0508008, University Library of Munich, Germany.
    6. An, Yonghong & Zhang, Zhixiang, 2012. "Congestion with heterogeneous commuters," Economic Modelling, Elsevier, vol. 29(3), pages 557-565.
    7. Rauh, Michael T., 2009. "Strategic complementarities and search market equilibrium," Games and Economic Behavior, Elsevier, vol. 66(2), pages 959-978, July.

    More about this item

    Keywords

    Keywords and Phrases: Large games; Summary statistics; Monopolistic competition.; JEL Classification Numbers: C72; D43.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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