Elections generate all binary relations on infinite sets

Vicki Knoblauch ()

Mathematical Social Sciences, 2016, vol. 84, issue C, 105-108

Abstract: Every binary relation on an infinite set can be represented by an election in which each voter’s preferences are quasi-transitive and complete (except possibly not reflexive) and in which the electorate has smaller cardinality than or the same cardinality as the set of alternatives, depending on the cardinality of that set.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:84:y:2016:i:c:p:105-108

DOI: 10.1016/j.mathsocsci.2016.10.002

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