Author: Mark Fey
Title: An application of asymptotic density to characterizing voting rules


Abstract. In this paper, we outline an application of asymptotic density in the field of mathematical social science. The topic we analyze is the axiomatic characterization of voting rules. Specifically, we extend the existing characterizations of majority and supermajority rules to the case of an infinite electorate. After presenting the classic results for the finite setting, we use asymptotic density to define density $q$-rules, which are characterized by neutrality, monotonicity, and bounded anonymity on almost all sets. We give an example illustrating the limits of this characterization and close by analyzing density majority rule.

Keywords: aymptotic density, density measures, majority rule, May's Theorem, voting rules

Mathematics Subject Classification: 91B12, 91B14



FEY, M.: An application of asymptotic density to characterizing voting rules, Tatra Mt. Math. Publ. 31 (2005), 29–37

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