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Nash implementable domains for the Borda count

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Author Info
Puppe, Clemens
Tasnádi, Attila

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Abstract

We characterize the preference domains on which the Borda count satisfies Maskin monotonicity. The basic concept is the notion of a "cyclic permutation domain" which arises by fixing one particular ordering of alternatives and including all its cyclic permutations. The cyclic permutation domains are exactly the maximal domains on which the Borda count is strategy-proof (when combined with every tie breaking rule). It turns out that the Borda count is monotonic on a larger class of domains. We show that the maximal domains on which the Borda count satisfies Maskin monotonicity are the "cyclically nested permutation domains." These are the preference domains which can be obtained from the cyclic permutation domains in an appropriate recursive way.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 775.

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Date of creation: 07 Nov 2006
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Handle: RePEc:pra:mprapa:775

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Related research
Keywords: Maskin monotonicity Borda count restricted preference domains

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Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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  1. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April. [Downloadable!] (restricted)
  2. Martin Barbie & Clemens Puppe & Attila Tasnadi, 2003. "Non-Manipulable Domains for the Borda Count," Bonn Econ Discussion Papers bgse13_2003, University of Bonn, Germany. [Downloadable!]
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  3. Orhan Erdem & M. Sanver, 2005. "Minimal monotonic extensions of scoring rules," Social Choice and Welfare, Springer, vol. 25(1), pages 31-42, October. [Downloadable!] (restricted)
  4. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Blackwell Publishing, vol. 66(1), pages 23-38, January. [Downloadable!] (restricted)
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