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Legitimacy of collective decisions: a mechanism design approach

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  • Kirneva Margarita
  • N'u~nez Mat'ias

Abstract

We design two mechanisms that ensure that the majority preferred option wins in all equilibria. The first one is a simultaneous game where agents choose other agents to cooperate with on top of the vote for an alternative, thus overcoming recent impossibility results concerning the implementation of majority rule. The second one adds sequential ratification to the standard majority voting procedure allowing to reach the (correct) outcome in significantly fewer steps than the widely used roll call voting. Both mechanisms use off-equilibrium lotteries to incentivize truthful voting. We discuss different extensions, including the possibility for agents to abstain.

Suggested Citation

  • Kirneva Margarita & N'u~nez Mat'ias, 2023. "Legitimacy of collective decisions: a mechanism design approach," Papers 2302.09548, arXiv.org, revised Oct 2023.
    • Handle: RePEc:arx:papers:2302.09548
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    References listed on IDEAS

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    1. Joseph Campbell & Alessandra Casella & Lucas de Lara & Victoria R. Mooers & Dilip Ravindran, 2022. "Liquid Democracy. Two Experiments on Delegation in Voting," NBER Working Papers 30794, National Bureau of Economic Research, Inc.
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    3. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    4. Friedel Bolle & Philipp E. Otto, 2022. "Voting behavior under outside pressure: promoting true majorities with sequential voting?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(4), pages 711-740, May.
    5. Núñez, Matías & Pivato, Marcus, 2019. "Truth-revealing voting rules for large populations," Games and Economic Behavior, Elsevier, vol. 113(C), pages 285-305.
    6. Baliga, Sandeep, 1999. "Implementation in Economic Environments with Incomplete Information: The Use of Multi-Stage Games," Games and Economic Behavior, Elsevier, vol. 27(2), pages 173-183, May.
    7. Olivier Bochet, 2007. "Nash Implementation with Lottery Mechanisms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 111-125, January.
    8. Anderson, Lisa R. & Holt, Charles A., 2008. "Information Cascade Experiments," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 39, pages 335-343, Elsevier.
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