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Dictatorial domains

Aswal, Navin;Chatterji, Shurojit;Sen, Arunava
(1999)

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Authors
  • Aswal, Navin
    Author
  • Chatterji, Shurojit
    Author
  • Sen, Arunava
    Author
Abstract
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 characterize dictatorial domains in the cases where the number of alternatives is three and four.
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Aswal, N., Chatterji, S., & Sen, A. (1999). Dictatorial domains (CORE Discussion Papers 1999/40). https://hdl.handle.net/2078.5/36843