Remarks on Young's theorem
In this paper we analyze the simple case of voting over two alternatives with variable electorate. Our findings are (a) the axiom of continuity is redundant in the axiomatization of scoring rules in Young (1975), SIAM J. Appl. Math. 28: 824-838, (b) the smaller set of axioms characterize this voting rule when indifferences are allowed in the voters' preferences, (c) a version of May's theorem can be derived from this last result, and finally, (d) in each of these results, axioms of neutrality and cancellation property can be used interchangeably.
Volume (Year): 32 (2012)
Issue (Month): 1 ()
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- Marc Vorsatz, 2004.
"Scoring Rules on Dichotomous Preferences,"
UFAE and IAE Working Papers
617.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-41, November.
- Carlos Alós-Ferrer, 2006. "A Simple Characterization of Approval Voting," Social Choice and Welfare, Springer, vol. 27(3), pages 621-625, December.
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