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The relationship between Arrow’s and Wilson’s theorems on restricted domains

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Listed:
  • Justin Kruger
  • M. Remzi Sanver

    (LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

Abstract

We consider Arrow’s and Wilson’s theorems as conditions on domains, as well as a third condition due to Malawski and Zhou (1994). We describe when domains satisfying each combination of these conditions exist.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Justin Kruger & M. Remzi Sanver, 2021. "The relationship between Arrow’s and Wilson’s theorems on restricted domains," Post-Print hal-03464586, HAL.
    • Handle: RePEc:hal:journl:hal-03464586
    DOI: 10.1016/j.mathsocsci.2021.08.002
    Note: View the original document on HAL open archive server: https://hal.science/hal-03464586
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    References listed on IDEAS

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    1. Donald E. Campbell & Jerry S. Kelly, 2003. "On the Arrow and Wilson impossibility theorems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(2), pages 273-281, March.
    2. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 328-328.
    3. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
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