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Random Walks and Voting Theory

Author

Listed:
  • Nicolas Vieille

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

Abstract

Voters' preferences depend on available information. Following Case-Based Decision Theory, we assume that this information is processed additively. We prove that the collective preferences deduced from the individual ones through majority vote cannot be arbitrary, as soon as a winning quota is required. The proof is based on a new result on random walks.

Suggested Citation

  • Nicolas Vieille, 2004. "Random Walks and Voting Theory," Post-Print hal-00464928, HAL.
    • Handle: RePEc:hal:journl:hal-00464928
    DOI: 10.1287/moor.1030.0052
    as

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    References listed on IDEAS

    as
    1. Itzhak Gilboa & Nicolas Vieille, 2004. "Majority vote following a debate," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 115-125, August.
    2. Itzhak Gilboa & David Schmeidler, 1995. "Case-Based Decision Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 605-639.
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    More about this item

    Keywords

    voting theory; majority vote; random walk;
    All these keywords.

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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