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Anonymity in nonatomic games

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  • Lorenzo Rocco

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Abstract

In nonatomic games, anonymity must be assumed in order to prove the existence of a Nash equilibrium in pure strategies. This can be formalized by making payoffs dependent either on the players' distribution on the action set or on the strategy mean. An extension of Rath's (1992) proof to the case of limited anonymity is proposed: the behavior of the population as a whole, is shown sufficient to get equilibrium existence in pure strategies.
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  • Lorenzo Rocco, 2007. "Anonymity in nonatomic games," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 54(2), pages 225-247, June.
  • Handle: RePEc:spr:inrvec:v:54:y:2007:i:2:p:225-247
    DOI: 10.1007/s12232-007-0013-6
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    Keywords

    nonatomic games; Nash equilibrium; anonymity;

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