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Hyper-stable collective rankings

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  • Jean Lainé

    (LIRSA - Laboratoire interdisciplinaire de recherche en sciences de l'action - CNAM - Conservatoire National des Arts et Métiers [CNAM] - HESAM - HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université)

Abstract

We introduce a new consistency property for social welfare functions (SWF), called hyper-stability. An SWF is hyper-stable if at any profile over finitely many alternatives where a weak order R is chosen, there exists a profile of linear orders over linear orders, called hyper-profile, at which only linearizations of R are ranked first by the SWF. Profiles induce hyper-profiles according to some minimal compatibility conditions. We provide sufficient conditions for hyper-stability, and we investigate hyper-stability for several Condorcet SWFs. An important conclusion is that there are non-dictatorial hyper-stable SWFs.
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Suggested Citation

  • Jean Lainé, 2015. "Hyper-stable collective rankings," Post-Print hal-03271230, HAL.
    • Handle: RePEc:hal:journl:hal-03271230
    DOI: 10.1016/j.mathsocsci.2015.06.002
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    References listed on IDEAS

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    1. Gilbert Laffond & Jean Lainé & Jean-François Laslier, 1996. "Composition-consistent tournament solutions and social choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 75-93, January.
    2. Binmore, K. G., 1975. "An example in group preference," Journal of Economic Theory, Elsevier, vol. 10(3), pages 377-385, June.
    3. Denis Bouyssou, 2004. "Monotonicity of ‘ranking by choosing’: A progress report," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(2), pages 249-273, October.
    4. Josep E. Peris & BegoÓa Subiza, 1999. "Condorcet choice correspondences for weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 217-231.
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    Cited by:

    1. Jean Lainé & Ali Ozkes & Remzi Sanver, 2016. "Hyper-stable social welfare functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 157-182, January.

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