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Which Scoring Rule Maximizes Condorcet Efficiency Under Iac?


  • Davide Cervone


  • William Gehrlein


  • William Zwicker



Consider an election in which each of the n voters casts a vote consisting of a strict preference ranking of the three candidates A, B, and C. In the limit as n→∞, which scoring rule maximizes, under the assumption of Impartial Anonymous Culture (uniform probability distribution over profiles), the probability that the Condorcet candidate wins the election, given that a Condorcet candidate exists? We produce an analytic solution, which is not the Borda Count. Our result agrees with recent numerical results from two independent studies, and contradicts a published result of Van Newenhizen (Economic Theory 2, 69–83. (1992)). Copyright Springer 2005

Suggested Citation

  • Davide Cervone & William Gehrlein & William Zwicker, 2005. "Which Scoring Rule Maximizes Condorcet Efficiency Under Iac?," Theory and Decision, Springer, vol. 58(2), pages 145-185, March.
  • Handle: RePEc:kap:theord:v:58:y:2005:i:2:p:145-185
    DOI: 10.1007/s11238-005-6594-1

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    More about this item


    Condorcet efficiency; scoring systems; Borda count; impartial anonymous culture; voting; C67;
    All these keywords.

    JEL classification:

    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models


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