A short step between democracy and dictatorship
The majority rule and the hierarchically dictatorial rule are both characterized when preferences are defined over two alternatives. The majority rule is characterized in terms of seven axioms. The hierarchically dictatorial rule is characterized in terms of six of these seven axioms and the negation of the seventh, so each rule can be seen as obtained from the other by negating just one of the axioms. The pivotal axiom holds that, for societies with at least three members, the frequency with which indifference is the result of the preference aggregation must be smaller than the frequency with which one of the alternatives is declared preferred to the other.
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- Fishburn, P. C., 1983. "A new characterization of simple majority," Economics Letters, Elsevier, vol. 13(1), pages 31-35.
- Miroiu, Adrian, 2004. "Characterizing majority rule: from profiles to societies," Economics Letters, Elsevier, vol. 85(3), pages 359-363, December.
- repec:ebl:ecbull:v:4:y:2007:i:4:p:1-8 is not listed on IDEAS
- Woeginger, Gerhard J., 2005. "More on the majority rule: Profiles, societies, and responsiveness," Economics Letters, Elsevier, vol. 88(1), pages 7-11, July.
- Chambers, Christopher P., 2008.
"Consistent representative democracy,"
Games and Economic Behavior,
Elsevier, vol. 62(2), pages 348-363, March.
- Chambers, Christopher P., 2005. "Consistent Representative Democracy," Working Papers 1217, California Institute of Technology, Division of the Humanities and Social Sciences.
- J. Woeginger, Gerhard, 2003. "A new characterization of the majority rule," Economics Letters, Elsevier, vol. 81(1), pages 89-94, October.
- Llamazares, Bonifacio, 2006. "The forgotten decision rules: Majority rules based on difference of votes," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 311-326, May.
- Asan, Goksel & Sanver, M. Remzi, 2002. "Another characterization of the majority rule," Economics Letters, Elsevier, vol. 75(3), pages 409-413, May.
- Xu, Yongsheng & Zhong, Zhen, 2010. "Single profile of preferences with variable societies: A characterization of simple majority rule," Economics Letters, Elsevier, vol. 107(2), pages 119-121, May. Full references (including those not matched with items on IDEAS)
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