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[分享] Dominant strategy equilibrium & NE [推广有奖]

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楼主
wlwilliam 发表于 2006-3-31 11:44:00 |AI写论文

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Please refer to Game Theory for Applied Economists by Robert Gibbons. There is some clear definition and distinction on dominated stratigies equilibrium and nash equilibrium.

Definition: Fix strategy profile s. If each s-i is a dominant strategy for player i, then s is a dominant strategies equilibrium.

Definition: Strategy profile s* is a Nash Equilibrium if for all i=1,2,...I, and all s_i in S_i, Ui(s*_i,s*_-i)>=Ui(s_i,s*_-i).

A dominant strategies equilibrium is a Nash equilibrium, but a Nash equilibrium need not to be a dominant strateties equililbium. Consider two examples. One is matching penny game, neither player has a dominant strategy, but this game has a mixed strategy Nash equilibrium. The other is coordination game. There are two pure strategy Nash equilibia, but neither player has a dominant strategy.

[此贴子已经被作者于2006-3-31 11:45:51编辑过]

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关键词:equilibrium Strategy dominant Strateg Equi 分享 Strategy equilibrium dominant

沙发
zyyer0224 发表于 2006-4-2 19:33:00
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藤椅
wlwilliam 发表于 2006-4-5 08:05:00

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