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The Satisfiability Problem for Boolean Set Theory with a Choice Correspondence

2017
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Electronic Proceedings in Theoretical Computer Science
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Given a set U of alternatives, a choice (correspondence) on U is a contractive map c defined on a family Omega of nonempty subsets of U. Semantically, a choice c associates to each menu A in Omega a nonempty subset c(A) of A comprising all elements of A that are deemed selectable by an agent. A choice on U is total if its domain is the powerset of U minus the empty set, and partial otherwise. According to the theory of revealed preferences, a choice is rationalizable if it can be retrieved from

doi:10.4204/eptcs.256.5
fatcat:g7lnz42tdjhgbkeyvywl53ugwu