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  • 标题:Asymptotic value in frequency-dependent games: A differential approach
  • 作者:Joseph Abdou ; Nikolaos Pnevmatikos
  • 期刊名称:Documents de Travail du Centre d'Economie de la Sorbonne
  • 印刷版ISSN:1955-611X
  • 出版年度:2016
  • 出版社:Centre d'Economie de la Sorbonne
  • 摘要:We study the asymptotic value of a frequency-dependent zero-sum game following a differential approach. In such a game the stage payoffs depend on the current action and on the frequency of actions played so far. We associate in a natural way a differential game to the original game and although it presents an irregularity at the origin, we prove existence of the value on the time interval [0,1]. We conclude, using appropriate approximations, that the limit of Vn as n tends to infinity, exists and that it coincides with the value of the associated continuous time game.
  • 关键词:stochastic game; frequency dependent payoffs; continuous-time game; Hamilton-Jacobi-Bellman-Isaacs equation
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