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A complete characterization of hierarchy

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  • Ou-Yang, Kui

Abstract

When there are at least three social states, a rational social choice rule under unrestricted domain is a hierarchy if and only if it satisfies strong neutrality and strong Pareto principle, if and only if it satisfies independence of irrelevant alternatives, strong Pareto principle, and Pareto indifference principle.

Suggested Citation

  • Ou-Yang, Kui, 2015. "A complete characterization of hierarchy," Economics Letters, Elsevier, vol. 136(C), pages 162-164.
    • Handle: RePEc:eee:ecolet:v:136:y:2015:i:c:p:162-164
    DOI: 10.1016/j.econlet.2015.09.033
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    References listed on IDEAS

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    1. Susumu Cato, 2010. "Brief proofs of Arrovian impossibility theorems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 267-284, July.
    2. Fishburn, Peter C., 1970. "Arrow's impossibility theorem: Concise proof and infinite voters," Journal of Economic Theory, Elsevier, vol. 2(1), pages 103-106, March.
    3. Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 557-567.
    4. Blau, Julian H, 1972. "A Direct Proof of Arrow's Theorem," Econometrica, Econometric Society, vol. 40(1), pages 61-67, January.
    5. John Geanakoplos, 2005. "Three brief proofs of Arrow’s Impossibility Theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(1), pages 211-215, July.
    6. Ning Yu, 2012. "A one-shot proof of Arrow’s impossibility theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 523-525, June.
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    Cited by:

    1. Ou-Yang, Kui, 2018. "Equity, hierarchy, and ordinal social choice," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 75-84.
    2. Ou-Yang, Kui, 2016. "Rawls’s maximin rule and Arrow’s impossibility theorem," Economics Letters, Elsevier, vol. 145(C), pages 114-116.
    3. Kui Ou-Yang, 2018. "Generalized rawlsianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(2), pages 265-279, February.

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    More about this item

    Keywords

    Social welfare function; Hierarchy; Dictatorship;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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