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The Likelihood of a Condorcet Winner in the Logrolling Setting

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  • Gehrlein, William
  • Le Breton, Michel
  • Lepelley, Dominique

Abstract

The purpose of this note is to compute the probability of logrolling for three different probabilistic cultures. The primary finding is that the restriction of preferences to be in accord with the condition of separable preferences creates enough additional structure among voters' preference rankings to create an increase in the likelihood that a Condorcet winner will exist with both IC and IAC-based scenarios.

Suggested Citation

  • Gehrlein, William & Le Breton, Michel & Lepelley, Dominique, 2017. "The Likelihood of a Condorcet Winner in the Logrolling Setting," TSE Working Papers 17-755, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:31398
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    References listed on IDEAS

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    1. Riker, William H. & Brams, Steven J., 1973. "The Paradox of Vote Trading," American Political Science Review, Cambridge University Press, vol. 67(4), pages 1235-1247, December.
    2. William Gehrlein & Dominique Lepelley & Issofa Moyouwou, 2015. "Voters’ preference diversity, concepts of agreement and Condorcet’s paradox," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(6), pages 2345-2368, November.
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    5. Koehler, David H., 1975. "Vote Trading and the Voting Paradox: A Proof of Logical Equivalence," American Political Science Review, Cambridge University Press, vol. 69(3), pages 954-960, September.
    6. Michel Le Breton & Guillaume Hollard, 1996. "Logrolling and a McGarvey theorem for separable tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(4), pages 451-455.
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    8. Alessandra Casella & Thomas Palfrey, 2015. "Trading Votes for Votes. A Decentralized Matching Algorithm," NBER Working Papers 21645, National Bureau of Economic Research, Inc.
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    More about this item

    Keywords

    Condorcet; Separable preferences; Logrolling; Vote Trading;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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