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Dictatorial domains

Author

Listed:
  • Navin Aswal
  • Shurojit Chatterji
  • Arunava Sen

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 use it to characterize dictatorial domains in the cases where the number of alternatives is three. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Navin Aswal & Shurojit Chatterji & Arunava Sen, 2003. "Dictatorial domains," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(1), pages 45-62, August.
    • Handle: RePEc:spr:joecth:v:22:y:2003:i:1:p:45-62
    DOI: 10.1007/s00199-002-0285-8
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    6. Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 1997. "Voting under Constraints," Journal of Economic Theory, Elsevier, vol. 76(2), pages 298-321, October.
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