Nash implementable domains for the Borda count
AbstractWe 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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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 775.
Date of creation: 07 Nov 2006
Date of revision:
Maskin monotonicity; Borda count; restricted preference domains;
Other versions of this item:
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-11-12 (All new papers)
- NEP-CDM-2006-11-12 (Collective Decision-Making)
- NEP-GTH-2006-11-12 (Game Theory)
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