Essential collections for equilibrium concepts
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The aim of this study is to identify and characterize the parts of an extensive form game that are “relevant” to determining whether the outcome of a certain strategy profile is an equilibrium outcome. We formally define what we mean by “relevant” and refer to the associated collection of information sets as essential. We apply this idea to a number of classic equilibrium concepts and discuss some implications of our approach.
KeywordsExtensive games Equilibrium concepts Relevant information sets Essential collections Reduced game Virtual equilibrium
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