Quesada, Antonio (2009): Parallel axiomatizations of majority and unanimity.
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Abstract
The relative majority rule and the unanimity rule are characterized for the case in which there are only two alternatives. The main axioms are motivated by a principle of binary representativeness: the aggregation of the preferences of n voters is the result of splitting the n voters into two groups, aggregating the preferences of the voters of each group, selecting for each group a representative that adopts the preference of the group, and finally aggregating the preferences of the two representatives. The two characterizations are shown to differ from each other in just one axiom, expressing strategyproofness (unanimity) or group strategyproofness (majority).
Item Type: | MPRA Paper |
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Original Title: | Parallel axiomatizations of majority and unanimity |
Language: | English |
Keywords: | Social welfare function; relative majority rule; unanimity rule; representativeness; axiomatic characterization; two alternatives. |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations |
Item ID: | 19401 |
Depositing User: | Antonio Quesada |
Date Deposited: | 19 Dec 2009 11:23 |
Last Modified: | 28 Sep 2019 21:01 |
References: | Aşan, G. and Sanver, M. R. (2002): “Another characterization of the majority rule”, Economics Letters 75, 409-413. Fishburn, P. C. (1973): The Theory of Social Choice, Princeton University Press, Princeton, New Jersey. Houy, N. (2007): “A new characterization of absolute qualified majority voting”, Economics Bulletin 4(3), 1-8. Llamazares, B. (2006): “The forgotten decision rules: Majority rules based on difference of votes”, Mathematical Social Sciences 51, 311-326. May, K. O. (1952): “A set of independent, necessary and sufficient conditions for simple majority decision”, Econometrica 20, 680-684. Miroiu, A. (2004): “Characterizing majority rule: From profiles to societies”, Economics Letters 85, 359-363. Woeginger, G. J. (2003): “A new characterization of the majority rule”, Economics Letters 81, 89-94. Woeginger, G. J. (2005): “More on the majority rule: Profiles, societies, and responsiveness”, Economics Letters 88, 7-11. Xu, Y. and Zhong, Z. (2009): “Single profile of preferences with variable societies: A characterization of simple majority rule”, to appear in Economics Letters. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/19401 |