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

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  • 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.
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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-03464586v1
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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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