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On the subgame perfect implementability of voting rules

Author

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  • Matías Núñez

    (CNRS and CREST, Ecole Polytechnique, UMR [9194])

  • M. Remzi Sanver

    (Université Paris-Dauphine, PSL Research University, CNRS, UMR [7243], LAMSADE)

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.

Suggested Citation

  • Matías Núñez & M. Remzi Sanver, 2021. "On the subgame perfect implementability of voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(2), pages 421-441, February.
    • Handle: RePEc:spr:sochwe:v:56:y:2021:i:2:d:10.1007_s00355-020-01293-9
    DOI: 10.1007/s00355-020-01293-9
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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. Salvador Barberà & Danilo Coelho, 2022. "Compromising on compromise rules," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 95-112, March.
    3. Mehmet Barlo & Nuh Aygün Dalkıran, 2022. "Computational implementation," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 605-633, December.

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