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The possibility of generalized social choice functions and Nash's independence of irrelevant alternatives

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  • Maurice Salles

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique, Istanbul Bilgi University, LSE - London School of Economics and Political Science)

Abstract

Social choice functions are generalized to handle Nash's independence of irrelevant alternatives. Possibility and impossibility results are established.

Suggested Citation

  • Maurice Salles, 2022. "The possibility of generalized social choice functions and Nash's independence of irrelevant alternatives," Post-Print hal-03886194, HAL.
  • Handle: RePEc:hal:journl:hal-03886194
    DOI: 10.1007/s00355-022-01437-z
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    References listed on IDEAS

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    1. Blair, Douglas H. & Bordes, Georges & Kelly, Jerry S. & Suzumura, Kotaro, 1976. "Impossibility theorems without collective rationality," Journal of Economic Theory, Elsevier, vol. 13(3), pages 361-379, December.
    2. Saari, Donald G., 1989. "A dictionary for voting paradoxes," Journal of Economic Theory, Elsevier, vol. 48(2), pages 443-475, August.
    3. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    4. Partha Dasgupta & Eric Maskin, 2008. "On The Robustness of Majority Rule," Journal of the European Economic Association, MIT Press, vol. 6(5), pages 949-973, September.
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    Cited by:

    1. Josep Freixas & Roger Hoerl & William S. Zwicker, 2023. "Nash's bargaining problem and the scale-invariant Hirsch citation index," Papers 2309.01192, arXiv.org.

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