A leximin characterization of strategy-proof and non-resolute social choice procedures |
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Authors: | Donald E. Campbell Jerry S. Kelly |
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Affiliation: | (1) Department of Economics and The Program in Public Policy, The College of William and Mary, Williamsburg, VA 23187-8795, USA (e-mail: decamp@wm.edu) , US;(2) Department of Economics, Syracuse University, Syracuse, NY 13245-1090, USA (email: jskelly@maxwell.syr.edu) , US |
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Abstract: | Summary. We characterize strategy-proof social choice procedures when choice sets need not be singletons. Sets are compared by leximin. For a strategy-proof rule g, there is a positive integer k such that either (i) the choice sets g(r) for all profiles r have the same cardinality k and there is an individual i such that g(r) is the set of alternatives that are the k highest ranking in i's preference ordering, or (ii) all sets of cardinality 1 to k are chosen and there is a coalition L of cardinality k such that g(r) is the union of the tops for the individuals in L. There do not exist any strategy-proof rules such that the choice sets are all of cardinality to k where . Received: November 8, 1999; revised version: September 18, 2001 |
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Keywords: | and Phrases: Leximin Non-resolute Strategy-proof. |
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