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Ordering Pareto-Optima through Majority Voting

Mich Tvede and Hervé Crès

No 00-15, Discussion Papers from University of Copenhagen. Department of Economics

Abstract: A commodity is shared between some individuals: There is an initial allocation; some selection procedures are used to choose an alternative allocation and; individuals decide between keeping the initial allocation or shifting to the alternative allocation. The selection procedures are supposed to involve an element of randomness in order to reflect uncertainty about economic, social and political processes. It is shown that for every allocation, 8 , there exists a number, . (8) 0 "0,1› such that, if the number of individuals tends to infinity, then the probability that a proportion of the population smaller (resp. larger) than . (8) prefers an allocation chosen by the selection procedure converges to 1 (resp. 0). The index . (8) yields a complete order in the set of Pareto optimal allocations. Illustrations and interpretations of the selection procedures are provided.

Keywords: Pareto-optimal Allocations; Infra-majority Voting (search for similar items in EconPapers)
JEL-codes: D31 D72 (search for similar items in EconPapers)
Pages: 34 pages
Date: 2000-11
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Published in Mathematical Social Sciences 41(3) 2001, 295-325

Downloads: (external link)
http://dx.doi.org/10.1016/S0165-4896(00)00066-4

Related works:
Journal Article: Ordering Pareto-optima through majority voting (2001) Downloads
Working Paper: Ordering Pareto-Optima Through Majority Voting (1998) Downloads
Working Paper: Ordering Pareto-Optima Through Majority Voting (1998)
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