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Random walks and voting theory

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  • VIEILLE, Nicolas

Abstract

Voters' preferences depend on the 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

  • VIEILLE, Nicolas, 2002. "Random walks and voting theory," HEC Research Papers Series 753, HEC Paris.
    • Handle: RePEc:ebg:heccah:0753
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
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    More about this item

    Keywords

    voting theory; quotas; random walks;
    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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