In 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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Article provided by Springer in its journal Economic Theory.
ASWAL, Navin & CHATTERJI, Shurojit & SEN, Arunava, 1999.
"Dictatorial domains,"
CORE Discussion Papers
1999040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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