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- Hierarchy_of_beliefs abstract "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).".
- Hierarchy_of_beliefs wikiPageID "34851813".
- Hierarchy_of_beliefs wikiPageLength "1853".
- Hierarchy_of_beliefs wikiPageOutDegree "6".
- Hierarchy_of_beliefs wikiPageRevisionID "549515547".
- Hierarchy_of_beliefs wikiPageWikiLink Category:Game_theory.
- Hierarchy_of_beliefs wikiPageWikiLink Common_knowledge_(logic).
- Hierarchy_of_beliefs wikiPageWikiLink Jean-François_Mertens.
- Hierarchy_of_beliefs wikiPageWikiLink John_Harsanyi.
- Hierarchy_of_beliefs wikiPageWikiLink Prisoners_and_hats_puzzle.
- Hierarchy_of_beliefs wikiPageWikiLink Robert_Aumann.
- Hierarchy_of_beliefs wikiPageWikiLinkText "Hierarchy of beliefs".
- Hierarchy_of_beliefs wikiPageWikiLinkText "hierarchy of beliefs".
- Hierarchy_of_beliefs hasPhotoCollection Hierarchy_of_beliefs.
- Hierarchy_of_beliefs wikiPageUsesTemplate Template:Game_theory.
- Hierarchy_of_beliefs wikiPageUsesTemplate Template:Reflist.
- Hierarchy_of_beliefs subject Category:Game_theory.
- Hierarchy_of_beliefs comment "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.".
- Hierarchy_of_beliefs label "Hierarchy of beliefs".
- Hierarchy_of_beliefs sameAs 信念の階層.
- Hierarchy_of_beliefs sameAs m.0j42byx.
- Hierarchy_of_beliefs sameAs Q5313201.
- Hierarchy_of_beliefs sameAs Q5313201.
- Hierarchy_of_beliefs wasDerivedFrom Hierarchy_of_beliefs?oldid=549515547.
- Hierarchy_of_beliefs isPrimaryTopicOf Hierarchy_of_beliefs.