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文章基本信息

  • 标题:A Note on Strategic Stability of Cooperative Solutions for Multistage Games
  • 作者:Lei Wang ; Cui Liu ; Juan Xue
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2018
  • 卷号:2018
  • DOI:10.1155/2018/3293745
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The problem of strategic stability of cooperative solutions for multistage games is studied. The sufficient conditions related to discount factors are presented, which guarantee the existence of Nash or strong Nash equilibria in such games and therefore guarantee the strategic stability of cooperative solutions. The deviating payoffs of players are given directly, which are related closely to these conditions and avoid the loss of super-additivity of a class of general characteristic functions. As an illustration, Nash and strong Nash equilibria are found for the repeated infinite stage Prisoner’s dilemma game.
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