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Majority vote following a debate


  • Itzhak Gilboa


  • Nicolas Vieille



Voters determine their preferences over alternatives based on cases (or arguments) that are raised in the public debate. Each voter is characterized by a matrix, measuring how much support each case lends to each alternative, and her ranking is additive in cases. We show that the majority vote in such a society can be any function from sets of cases to binary relations over alternatives. A similar result holds for voting with quota in the case of two alternatives. Copyright Springer-Verlag 2004

Suggested Citation

  • 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.
  • Handle: RePEc:spr:sochwe:v:23:y:2004:i:1:p:115-125
    DOI: 10.1007/s00355-003-0243-9

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    References listed on IDEAS

    1. Itzhak Gilboa & David Schmeidler, 2003. "Inductive Inference: An Axiomatic Approach," Econometrica, Econometric Society, vol. 71(1), pages 1-26, January.
    2. Glazer, Jacob & Rubinstein, Ariel, 2001. "Debates and Decisions: On a Rationale of Argumentation Rules," Games and Economic Behavior, Elsevier, vol. 36(2), pages 158-173, August.
    3. Aragones, Enriqueta & Gilboa, Itzhak & Postlewaite, Andrew & Schmeidler, David, 2014. "Rhetoric and analogies," Research in Economics, Elsevier, vol. 68(1), pages 1-10.
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    Cited by:

    1. Jerome Mathis, 2006. "Deliberation with Partially Verifiable Information," THEMA Working Papers 2006-03, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. VIEILLE, Nicolas, 2002. "Random walks and voting theory," Les Cahiers de Recherche 753, HEC Paris.

    More about this item

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design


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