Games with Incomplete Awareness

Games with Incomplete Awareness
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意识不完全的游戏

DOI:
10.2139/ssrn.250972
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发表时间:
2005
期刊:
Microeconomic Theory eJournal
影响因子:
--
通讯作者:
B. Alice
B. Alice
中科院分区:
--
文献类型:
--
作者:
B. Alice

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定义了一种新的博弈形式--不完全意识博弈。这种游戏形式捕捉到了对其他玩家的行为的无知,以及对某些玩家的存在的无知。它还捕捉到了交互的无意识:玩家对其他玩家知道的东西的意识,等等。将纳什均衡解推广到这种博弈形式,证明了每个不完全意识博弈都存在一个扩展的纳什均衡。凝胶分类:C72、D81、D82。∗斯坦福商学院,加利福尼亚州斯坦福94305-5015.电子邮件:yossi@gsb.stanford.edu http://www.stanford.edu/̃yossi/main.htm†我要感谢David Kreps的多次对话和有益的建议。我感谢迈克尔·奥斯特罗夫斯基为希格曼定理提供了另一种证明。我衷心感谢电子商务中心的支持。
A new game form termed games with incomplete awareness is defined. This game form captures unawareness as to other players’ actions, as well as unawareness of the existence of some players. It also captures interactive unawareness: the awareness of players as to what other players are aware of, and so on. The Nash equilibrium solution is extended to this game form and it is shown that every game with incomplete awareness possesses an extended Nash equilibrium. JEL Classification: C72,D81,D82. ∗Stanford Graduate School of Business, Stanford CA 94305-5015. e-mail: yossi@gsb.stanford.edu http://www.stanford.edu/ ̃yossi/Main.htm †I wish to thank David Kreps for numerous conversations and helpful suggestions. I am grateful to Michael Ostrovsky for providing an alternative proof to Higman’s theorem. I gratefully acknowledge the support of the Center for Electronic Business and Commerce.