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

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  • Kruger, Justin
  • Sanver, M. Remzi

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.

Suggested Citation

  • Kruger, Justin & Sanver, M. Remzi, 2021. "The relationship between Arrow’s and Wilson’s theorems on restricted domains," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 95-97.
    • Handle: RePEc:eee:matsoc:v:114:y:2021:i:c:p:95-97
    DOI: 10.1016/j.mathsocsci.2021.08.002
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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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