AbstractIn this paper, we introduce the notion of a linked domain and prove that a non-manipulable social choice function defined on such a domain must be dictatorial. This result not only generalizes the Gibbard-Satterthwaite Theorem but also demonstrates that the equivalence between dictatorship and non-manipulability is far more robust than suggested by that theorem. We provide an application of this result in a particular model of voting. We also provide a necessary condition for a domain to be dictatorial and use it to characterize dictatorial domains in the cases where the number of alternatives is three. Copyright Springer-Verlag Berlin Heidelberg 2003
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Bibliographic InfoArticle provided by Springer in its journal Economic Theory.
Volume (Year): 22 (2003)
Issue (Month): 1 (08)
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- JEL - Labor and Demographic Economics - - - - -
- Cla - Mathematical and Quantitative Methods - - - - -
- Num - Economic History - - - - -
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- Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 1997.
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- Le Breton, M. & Sen, A., 1995. "Strategyproofness and decomposability : Weak Orderings," G.R.E.Q.A.M. 95a38, Universite Aix-Marseille III.
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