Econometrica: Sep 1973, Volume 41, Issue 5

Conditions for the Existence of Cycles under Majority and Non-Minority Rules

https://doi.org/0012-9682(197309)41:5<889:CFTEOC>2.0.CO;2-F
p. 889-899

Kit Fine

This paper simplifies and extends some previous work on domain restriction. With the help of an easy arithmetical result, two types of necessary and sufficient conditions are established for transitivity and quasi-transitivity under majority rule and transitivity under non-minority rule.

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