Electoral outcomes with probabilistic voting and Nash social welfare maxima

Peter Coughlin, Shmuel Nitzan

Research output: Contribution to journalArticlepeer-review

149 Scopus citations

Abstract

This paper provides unexpected support to Nash's view of how bargaining determines the social choice. We first present a spatial model of electoral competition with probabilistic voting and a very close relation between voters' preferences and their choice probabilities. The outcome of the electoral competition game is then shown to be precisely the social alternative that maximizes a Nash-type social welfare function (theorem 1). This electoral outcome is also interpreted as a unanimity likelihood maximum (corollary 1). Within our framework, existence and uniqueness of such an outcome are guaranteed (corollaries 2 and 3).

Original languageEnglish
Pages (from-to)113-121
Number of pages9
JournalJournal of Public Economics
Volume15
Issue number1
DOIs
StatePublished - Feb 1981
Externally publishedYes

Bibliographical note

Funding Information:
assistance provided by the National Science Foundation. We helpful comments and suggestions from the participants in the Theory Seminar, the Hebrew University Economic Theory Elections Session at the 1979 Public Choice Society Meeting, as Bezalel Peleg, Micha Perles, and Ariel Rubinstein.

Funding

assistance provided by the National Science Foundation. We helpful comments and suggestions from the participants in the Theory Seminar, the Hebrew University Economic Theory Elections Session at the 1979 Public Choice Society Meeting, as Bezalel Peleg, Micha Perles, and Ariel Rubinstein.

FundersFunder number
National Science Foundation

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