Unequivocal Majority and Maskin-Monotonicity

Pablo Amoros

No 2008-3, Working Papers from Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center

Abstract: The unequivocal majority of a social choice rule F is the minimum number of agents that must agree on their best alternative in order to guarantee that this alternative is the only one prescribed by F. If the unequivocal majority of F is larger than the minimum possible value, then some of the alternatives prescribed by F are undesirable (there exists a different alternative which is the most preferred by more than 50% of the agents). Moreover, the larger the unequivocal majority of F, the worse these alternatives are (since the proportion of agents that prefer the same different alternative increases). We show that the smallest unequivocal majority compatible with Maskin-monotonicity is n-((n-1)/m), where n=3 is the number of agents and m=3 is the number of alternatives. This value represents no less than 66.6% of the population.

Keywords: Maskin-monotonicity; Majority; Condorcet winner (search for similar items in EconPapers)
JEL-codes: C70 D78 (search for similar items in EconPapers)
Pages: 12 pages
Date: 2008-03
New Economics Papers: this item is included in nep-cdm, nep-gth and nep-pol
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https://theeconomics.uma.es/malagawpseries/Papers/METCwp2008-3.pdf First version, 2008 (application/pdf)

Related works:
Journal Article: Unequivocal majority and Maskin-monotonicity (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:mal:wpaper:2008-3

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