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Truth-revealing voting rules for large populations

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  • Núñez, Matías
  • Pivato, Marcus

Abstract

We propose a new solution to the problem of strategic voting for large electorates. For any deterministic voting rule, we design a stochastic rule that asymptotically approximates it in the following sense: for a sufficiently large population of voters, the stochastic voting rule (i) incentivizes every voter to reveal her true preferences and (ii) produces the same outcome as the deterministic rule, with arbitrarily high probability. We then apply these results to obtain an implementation in Bayesian Nash equilibrium.

Suggested Citation

  • Núñez, Matías & Pivato, Marcus, 2019. "Truth-revealing voting rules for large populations," Games and Economic Behavior, Elsevier, vol. 113(C), pages 285-305.
    • Handle: RePEc:eee:gamebe:v:113:y:2019:i:c:p:285-305
    DOI: 10.1016/j.geb.2018.09.009
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    Cited by:

    1. Lirong Xia, 2020. "How Likely Are Large Elections Tied?," Papers 2011.03791, arXiv.org, revised Jul 2021.
    2. Marcus Pivato, 2016. "Asymptotic utilitarianism in scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 431-458, August.
    3. Kirneva Margarita & N'u~nez Mat'ias, 2023. "Legitimacy of collective decisions: a mechanism design approach," Papers 2302.09548, arXiv.org, revised Oct 2023.

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    More about this item

    Keywords

    Large elections; Strategic voting; Truth-revelation; Stochastic voting rule; Bayesian Nash implementation;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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