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Weak Independence and Social Semi-Orders

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  • Susumu Cato

Abstract

type="main"> This paper provides variants of Arrow's impossibility theorem, which states that there exists no non-dictatorial aggregation rule satisfying weak Pareto, independence of irrelevant alternatives and collective rationality. In this paper, independence of irrelevant alternatives and collective rationality are simultaneously relaxed. Weak independence is imposed instead of independence of irrelevant alternatives. Social preferences are assumed to satisfy the semi-order properties of semi-transitivity and the interval-order property. We prove that there exists a vetoer when the number of alternatives is greater than or equal to six.

Suggested Citation

  • Susumu Cato, 2015. "Weak Independence and Social Semi-Orders," The Japanese Economic Review, Japanese Economic Association, vol. 66(3), pages 311-321, September.
  • Handle: RePEc:bla:jecrev:v:66:y:2015:i:3:p:311-321
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    File URL: http://hdl.handle.net/10.1111/jere.12051
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    References listed on IDEAS

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    1. Susumu Cato, 2016. "Weak independence and the Pareto principle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 295-314, August.

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