Xefteris, Dimitrios (2010): Consistency in (Super-)Majority Decision.
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Abstract
This paper identifies necessary and sufficient single-profile conditions for consistent decision under all super-majority rules. It is demonstrated that if one begins by discarding any ordering and its inverse whenever they are both found in the preference profile, then the reduced profile will generate a transitive super-majority rule relation if and only if it is not balanced enough relative to the size of the super-majority.
Item Type: | MPRA Paper |
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Original Title: | Consistency in (Super-)Majority Decision |
Language: | English |
Keywords: | majority rule, transitivity |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making > D70 - General D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations |
Item ID: | 32106 |
Depositing User: | Dimitrios Xefteris |
Date Deposited: | 08 Jul 2011 15:16 |
Last Modified: | 06 Oct 2019 16:40 |
References: | Arrow, Kenneth J. (1951). Social Choice and Individual Values. John Wiley. Black, David (1948). "On the Rationale of Group Decision making." Journal of Political Economy, 56(1), 23--34. Campbell, Donald, and Jerry Kelly (2000). "A Simple Characterization of Majority Rule." Economic Theory, 15, 689--700. Condorcet, Marie Jean Antoine Nicolas Caritat (1785). Essai sur l'application de l'analyse à la pluralité des voix. Imprimerie Royale. Dasgupta, Partha, and Eric Maskin (2008). "On the Robustness of Majority Rule." Journal of the European Economic Association, 6(5), 949-973. Feld and Grofman (1983), "Partial Single-Peakdness: An extension and clarification", Public Choice, 51:71-80 Inada, Ken-Ichi (1969). "On the Simple Majority Rule Decision." Econometrica, 37(3), 490--506. Sen, Amartya (1966). "A Possibility Theorem on Majority Decisions." Econometrica, 34(2), 491--499. Sen, Amartya, and Prasanta Pattanaik (1969). "Necessary and Sufficient Conditions for Rational Choice under Majority Decision." Journal of Economic Theory, 1(2), 178--202. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/32106 |
Available Versions of this Item
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The necessary and sufficient condition for the transitivity of the Majority Rule in the linear domain. (deposited 25 Aug 2010 06:25)
- Consistency in (Super-)Majority Decision. (deposited 08 Jul 2011 15:16) [Currently Displayed]