Xefteris, Dimitrios (2010): The necessary and sufficient condition for the transitivity of the Majority Rule in the linear domain.
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Abstract
This paper identifies the necessary and sufficient condition for the transitivity of the majority rule when individuals are never indifferent between two distinct alternatives (linear domain). By introducing the concept of the relevant population for each set of alternatives, a unique condition can be stated, and substitute the variety of conditions that already exist in the literature.
Item Type: | MPRA Paper |
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Original Title: | The necessary and sufficient condition for the transitivity of the Majority Rule in the linear domain |
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: | 24588 |
Depositing User: | Dimitrios Xefteris |
Date Deposited: | 25 Aug 2010 06:25 |
Last Modified: | 01 Oct 2019 17:12 |
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 (1998). "On the Robustness of Majority Rule." Working paper, University of Cambridge and Harvard University. 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/24588 |
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