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Majority Voting Over Lotteries: Conditions for Existence of a Decisive Voter

Author

Listed:
  • John Duggan

    (U of Rochester)

Abstract

This note extends known sufficient conditions for existence of a decisive voter in pairwise voting over lotteries. The preferred lottery of such a voter always coincides with the lottery preferred by a majority, meaning voting can be reduced to a decision problem of the decisive voter. The results are useful in solving dynamic models of bargaining and elections, where a binary vote can be expressed as a choice between two lotteries (depending on the discount factor), and voting subgames can be reduced to a decision problem of the decisive voter.

Suggested Citation

  • John Duggan, 2014. "Majority Voting Over Lotteries: Conditions for Existence of a Decisive Voter," Economics Bulletin, AccessEcon, vol. 34(1), pages 263-270.
    • Handle: RePEc:ebl:ecbull:eb-14-00037
    as

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    File URL: http://www.accessecon.com/Pubs/EB/2014/Volume34/EB-14-V34-I1-P27.pdf
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    References listed on IDEAS

    as
    1. Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
    2. Cho, Seok-ju & Duggan, John, 2003. "Uniqueness of stationary equilibria in a one-dimensional model of bargaining," Journal of Economic Theory, Elsevier, vol. 113(1), pages 118-130, November.
    3. Rothstein, Paul, 1991. "Representative Voter Theorems," Public Choice, Springer, vol. 72(2-3), pages 193-212, December.
    4. Jeffrey Banks & John Duggan, 2006. "A Social Choice Lemma on Voting Over Lotteries with Applications to a Class of Dynamic Games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 285-304, April.
    5. Davis, Otto A & DeGroot, Morris H & Hinich, Melvin J, 1972. "Social Preference Orderings and Majority Rule," Econometrica, Econometric Society, vol. 40(1), pages 147-157, January.
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    Citations

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    Cited by:

    1. César Martinelli & John Duggan, 2014. "The Political Economy of Dynamic Elections: A Survey and Some New Results," Working Papers 1403, Centro de Investigacion Economica, ITAM.
    2. John Duggan & Jean Guillaume Forand, 2021. "Representative Voting Games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(3), pages 443-466, April.
    3. Zapal, Jan, 2020. "Simple Markovian equilibria in dynamic spatial legislative bargaining," European Journal of Political Economy, Elsevier, vol. 63(C).
    4. Roberti, Paolo, 2019. "Citizens or lobbies: Who controls policy?," Games and Economic Behavior, Elsevier, vol. 113(C), pages 497-514.
    5. Vohra, Akhil, 2023. "Losing money to make money: The benefits of redistribution in collective bargaining in sports," Games and Economic Behavior, Elsevier, vol. 142(C), pages 226-242.
    6. Awad, Emiel & Minaudier, Clement, 2023. "Persuasive Lobbying and the Value of Connections," SocArXiv 8z4ax, Center for Open Science.
    7. Navin Kartik & SangMok Lee & Daniel Rappoport, 2024. "Single-Crossing Differences in Convex Environments," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 91(5), pages 2981-3012.
    8. Bils, Peter & Duggan, John & Judd, Gleason, 2021. "Lobbying and policy extremism in repeated elections," Journal of Economic Theory, Elsevier, vol. 193(C).

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    More about this item

    Keywords

    Voting; majority rule; radial symmetry; order restriction;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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