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Generalized majority rules: utilitarian welfare in large but finite populations

Marco Faravelli and Priscilla Man ()
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Priscilla Man: University of Queensland

Economic Theory, 2021, vol. 72, issue 1, No 2, 48 pages

Abstract: Abstract Generalized majority rules are electoral rules in which an alternative needs to obtain a fixed percentage (not necessarily 50%) of all votes in order to win. While Krishna and Morgan (Am Econ J Microeconom 7:339–375, 2015) demonstrate that simple majority maximizes expected utilitarian welfare for limiting populations regardless of the prior support for the alternatives, this paper finds that, when the prior support is known, a continuum of voting rules also achieves the same welfare. Moreover, as the population approaches the limit, every voting rule eventually becomes welfare inferior to picking the ex-ante majority without an election. Examining the properties of these optimal rules allows us to generalize the relationship between voter participation and welfare beyond the symmetric case.

Keywords: Supermajority; Qualified majority; Costly voting; Voter turnout; Compulsory voting; Poisson game (search for similar items in EconPapers)
JEL-codes: C72 D72 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00199-020-01285-x

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