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Preference revelation with a limited number of indifference classes

Author

Listed:
  • Donald E.Campbell

    () (Department of Economics, The College of William and Mary, P.O. Box 8755 Williamsburg, VA 23181-8755, USA Department of Economics, Syracuse University, Maxwell Hall, Syracuse, NY x13244-1090, USA)

  • Jerry S. Kelly

    () (Department of Economics, The College of William and Mary, P.O. Box 8755 Williamsburg, VA 23181-8755, USA Department of Economics, Syracuse University, Maxwell Hall, Syracuse, NY x13244-1090, USA)

Abstract

Suppose that g is a strategy-proof social choice rule on the domain of all profiles of complete and transitive binary relations that have exactly m indifference classes. If $m \ge 3$ and the range of g has three or more members, then g is dictatorial. If m = 2, then for any set X of feasible alternatives, there exist non-dictatorial and strategy-proof rules that are sensitive to the preferences of every individual and which have X as range.

Suggested Citation

  • Donald E.Campbell & Jerry S. Kelly, 2002. "Preference revelation with a limited number of indifference classes," Spanish Economic Review, Springer;Spanish Economic Association, vol. 4(2), pages 151-158.
  • Handle: RePEc:spr:specre:v:4:y:2002:i:2:p:151-158
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    Cited by:

    1. Alexander Reffgen, 2011. "Generalizing the Gibbard–Satterthwaite theorem: partial preferences, the degree of manipulation, and multi-valuedness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(1), pages 39-59, June.

    More about this item

    Keywords

    Dictatorship; indifference classes; oligarchy; strategy-proof;

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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