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On the subgame perfect implementability of voting rules

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  • Matias Nunez

    (CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - X - École polytechnique - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - CNRS - Centre National de la Recherche Scientifique)

  • M. Remzi Sanver

    (LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

Abstract

Abreu and Sen (J Econ Theory 50(2):285–299, 1990) provide a necessary condition, called Condition $$\alpha $$ α , which is almost sufficient for a social choice rule to be implementable via subgame perfect equilibria. Yet, it is not straightforward to check the satisfaction of Condition $$\alpha $$ α . We contribute in this direction by establishing a nuanced picture over the subgame perfect implementability of compromise rules, as a function of the compromise threshold. This contrasts with scoring rules that all fail to be subgame perfect implementable and with several Condorcet rules which are subgame perfect implementable.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Matias Nunez & M. Remzi Sanver, 2020. "On the subgame perfect implementability of voting rules," Post-Print hal-03092402, HAL.
    • Handle: RePEc:hal:journl:hal-03092402
    DOI: 10.1007/s00355-020-01293-9
    Note: View the original document on HAL open archive server: https://enpc.hal.science/hal-03092402
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    References listed on IDEAS

    as
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    2. Vincent Merlin & Ipek Özkal Sanver & M. Remzi Sanver, 2019. "Compromise Rules Revisited," Post-Print hal-02517201, HAL.
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    Cited by:

    1. Hayrullah Dindar & Jean Lainé, 2022. "Compromise in combinatorial vote," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 175-206, July.
    2. Mehmet Barlo & Nuh Aygün Dalkıran, 2022. "Computational implementation," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 605-633, December.
    3. Salvador Barberà & Danilo Coelho, 2022. "Compromising on compromise rules," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 95-112, March.

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