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proper equilibrium : ウィキペディア英語版
proper equilibrium

Proper equilibrium is a refinement of Nash Equilibrium due to Roger B. Myerson.
Proper equilibrium further refines Reinhard Selten's notion of a
trembling hand perfect equilibrium by assuming that more costly trembles are made with
significantly smaller probability than less
costly ones.
==Definition==

Given a normal form game and a parameter \epsilon > 0, a totally mixed strategy profile \sigma is defined to be \epsilon-proper if, whenever a player has two pure strategies s and s' such that the expected payoff of playing s is smaller than the expected payoff of
playing s' (that is u(s,\sigma_)), then the probability assigned to s
is at most \epsilon times the probability assigned to s'.
A strategy profile of the game is then said to be a proper equilibrium
if it is a limit point, as \epsilon approaches 0, of a sequence of \epsilon-proper strategy profiles.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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