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No-envy, efficiency, and collective rationality

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  • Norihito Sakamoto

Abstract

We consider fair collective choice functions (hereafter fair CCFs) which associate with each profile of extended preference orderings and each set of feasible social states a subset of the set of Pareto efficient and envy-free states for the preference profile. Our main objective is to examine compatibility of fair social choices with collective rationality. We formulate desirable properties of collective rationality, and look for CCFs satisfying them. Next, we show that any fair CCF violates most of collective rationality properties. Moreover, one of our results implies that no fair CCF can be rationalized by a social preference relation. Copyright Springer-Verlag 2013

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  • Norihito Sakamoto, 2013. "No-envy, efficiency, and collective rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1033-1045, April.
    • Handle: RePEc:spr:sochwe:v:40:y:2013:i:4:p:1033-1045
    DOI: 10.1007/s00355-012-0657-3
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    1. Koichi Tadenuma, 2008. "Choice-Consistent Resolutions of the Efficiency-Equity Trade-Off," Studies in Choice and Welfare, in: Prasanta K. Pattanaik & Koichi Tadenuma & Yongsheng Xu & Naoki Yoshihara (ed.), Rational Choice and Social Welfare, pages 119-138, Springer.
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    6. Marc Fleurbaey, 2008. "To Envy or To Be Envied? Refinements of the Envy Test for the Compensation Problem," Studies in Choice and Welfare, in: Prasanta K. Pattanaik & Koichi Tadenuma & Yongsheng Xu & Naoki Yoshihara (ed.), Rational Choice and Social Welfare, pages 95-118, Springer.
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    1. Sakamoto, Norihito, 2020. "Equity Principles and Interpersonal Comparison of Well-being: Old and New Joint Characterizations of Generalized Leximin, Rank-dependent Utilitarian, and Leximin Rules," RCNE Discussion Paper Series 7, Research Center for Normative Economics, Institute of Economic Research, Hitotsubashi University.
    2. Sakamoto, Norihito, 2018. "Equity Criteria Based on the Dominance Principle and Individual Preferences: Refinements of the Consensus Approach," RCNE Discussion Paper Series 5, Research Center for Normative Economics, Institute of Economic Research, Hitotsubashi University.
    3. Susumu Cato, 2018. "Choice functions and weak Nash axioms," Review of Economic Design, Springer;Society for Economic Design, vol. 22(3), pages 159-176, December.

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