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A Characterization of Consistent Collective Choice Rules

  • BOSSERT, Walter
  • SUZUMURA, Kotaro

We characterize a class of collective choice rules such that collective preference relations are consistent. Consistency is a weakening of transitivity and a strengthening of acyclicity requiring that there be no cycles with at least one strict preference. The properties used in our characterization are unrestricted domain, strong Pareto, anonymity and neutrality. If there are at most as many individuals as there are alternatives, the axioms provide an alternative characterization of the Pareto rule. If there are more individuals than alternatives, however, further rules become available.

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File URL: http://hdl.handle.net/1866/2149
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Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2006-12.

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Length: 12 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:mtl:montde:2006-12
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Web page: http://www.sceco.umontreal.ca

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  1. WEYMARK, John, . "Arrow's theorem with social quasi-orderings," CORE Discussion Papers RP -609, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2005. "Consistent Rationalizability," Economica, London School of Economics and Political Science, vol. 72(286), pages 185-200, 05.
  3. Sen, Amartya K, 1979. "Personal Utilities and Public Judgements: Or What's Wrong with Welfare Economics?," Economic Journal, Royal Economic Society, vol. 89(355), pages 537-58, September.
  4. Sen, Amartya K, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," Review of Economic Studies, Wiley Blackwell, vol. 36(107), pages 381-93, July.
  5. Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-90, November.
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