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・ Hierarchical organization
・ Hierarchical proportion
・ Hierarchical RBF
・ Hierarchical routing
・ Hierarchical state routing
・ Hierarchical storage management
・ Hierarchical structure of the Big Five
・ Hierarchical task network
・ Hierarchical temporal memory
・ Hierarchical value cache
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・ Hierarchy (mathematics)
・ Hierarchy and Free Expression in the Fight Against Racism
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Hierarchy of beliefs
・ Hierarchy of death
・ Hierarchy of evidence
・ Hierarchy of genres
・ Hierarchy of hazard control
・ Hierarchy of precious substances
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・ Hierarchy of values
・ Hierarchy Open Service Interface Definition
・ Hierarchy problem
・ Hierarchy theory
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・ Hierax (ascetic)


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Hierarchy of beliefs : ウィキペディア英語版
Hierarchy of beliefs
Construction by Jean-François Mertens and Zamir implementing with John Harsanyi's proposal to model games with incomplete information by supposing that each player is characterized by a privately known type that describes his feasible strategies and payoffs as well as a probability distribution over other players' types.
Such probability distribution at the first level can be interpreted as a low level belief of a player. One level up the probability on the belief of other players is interpreted as beliefs on beliefs. A recursive universal construct is built—in which player have beliefs on their beliefs at different level—this construct is called the hierarchy of beliefs.
The result is a universal space of types in which, subject to specified consistency conditions, each type corresponds to the infinite hierarchy of his probabilistic beliefs about others' probabilistic beliefs. They also showed that any subspace can be approximated arbitrarily closely by a finite subspace.
Another popular example of the usage of the construction is the Prisoners and hats puzzle. And so is Robert Aumann's construction of Common knowledge (logic).
==References==


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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