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Implementation via approval mechanisms

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  • Núñez, Matías
  • Xefteris, Dimitrios

Abstract

We focus on the single-peaked domain and study the class of Generalized Approval Mechanisms (GAMs): First, players simultaneously select subsets of the outcome space and scores are assigned to each alternative; and, then, a given quantile of the induced score distribution is implemented. Our main finding is that essentially for every Nash-implementable welfare optimum – including the Condorcet winner alternative – there exists a GAM that Nash-implements it. Importantly, the GAM that Nash-implements the Condorcet winner alternative is the first simple simultaneous game with this feature in the literature.

Suggested Citation

  • Núñez, Matías & Xefteris, Dimitrios, 2017. "Implementation via approval mechanisms," Journal of Economic Theory, Elsevier, vol. 170(C), pages 169-181.
    • Handle: RePEc:eee:jetheo:v:170:y:2017:i:c:p:169-181
    DOI: 10.1016/j.jet.2017.05.003
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Margarita Kirneva & Matias Nunez, 2021. "Voting by Simultaneous Vetoes," Working Papers 2021-08, Center for Research in Economics and Statistics.
    2. Bettina Klaus & Panos Protopapas, 2020. "On strategy-proofness and single-peakedness: median-voting over intervals," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1059-1080, December.
    3. Xefteris, Dimitrios & Ziros, Nicholas, 2018. "Strategic vote trading under complete information," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 52-58.
    4. Louis, Philippos & Núñez, Matías & Xefteris, Dimitrios, 2023. "Trimming extreme reports in preference aggregation," Games and Economic Behavior, Elsevier, vol. 137(C), pages 116-151.
    5. Su, Francis Edward & Zerbib, Shira, 2019. "Piercing numbers in approval voting," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 65-71.
    6. Philippos Louis & Matías Núñez & Dimitrios Xefteris, 2022. "The Virtuous Cycle of Agreement," The Economic Journal, Royal Economic Society, vol. 132(641), pages 326-360.
    7. Miguel à ngel Ballester & Jose Apesteguia, 2023. "The Rationalizability of Survey Responses," Working Papers 1393, Barcelona School of Economics.
    8. Philippos Louis & Matias Núñez & Dimitrios Xefteris, 2018. "Beyond Outcomes: Experimental Evidence on the Value of Agreement," University of Cyprus Working Papers in Economics 05-2018, University of Cyprus Department of Economics.
    9. Jose Apesteguia & Miguel A. Ballester, 2023. "The rationalizability of survey responses," Economics Working Papers 1863, Department of Economics and Business, Universitat Pompeu Fabra.
    10. Matías Núñez & Carlos Pimienta & Dimitrios Xefteris, 2018. "Implementing the Median," Discussion Papers 2018-11, School of Economics, The University of New South Wales.
    11. Núñez, Matías & Pimienta, Carlos & Xefteris, Dimitrios, 2022. "On the implementation of the median," Journal of Mathematical Economics, Elsevier, vol. 99(C).

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    More about this item

    Keywords

    Nash implementation; Strategy-proofness; Approval voting; Single-peakedness; Condorcet winner;
    All these keywords.

    JEL classification:

    • C9 - Mathematical and Quantitative Methods - - Design of Experiments
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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