Preference revelation with a limited number of indifference classes
AbstractSuppose 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.
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Bibliographic InfoArticle provided by Springer in its journal Spanish Economic Review.
Volume (Year): 4 (2002)
Issue (Month): 2 ()
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- Alexander Reffgen, 2011. "Generalizing the Gibbard–Satterthwaite theorem: partial preferences, the degree of manipulation, and multi-valuedness," Social Choice and Welfare, Springer, vol. 37(1), pages 39-59, June.
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