Econometrica: Jul 1973, Volume 41, Issue 4

Transitive Binary Social Choices and Intraprofile Conditions

https://doi.org/0012-9682(197307)41:4<603:TBSCAI>2.0.CO;2-F
p. 603-615

Peter C. Fishburn

Transitivity-like properties for binary social choices on a triple of alternatives are shown to follow from simple conditions that apply within each voter preference profile, coupled with structural profile restrictions such as those used in single-peakedness. These results are compared to results obtained under the simple majority rule. The special intraprofile conditions used in the main theorem are related to interprofile conditions such as independence, neutrality, and monotonicity.

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