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Condorcet Meets Bentham

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  • Marcus Pivato

    (Université de Cergy-Pontoise, THEMA and Department of Mathematics, Trent University, Canada)

Abstract

We show that if the statistical distribution of utility functions in a population satisfies a certain condition, then a Condorcet winner will not only exist, but will also maximize the utilitarian social welfare function. We also show that, if people's utility functions are generated according to certain plausible random processes, then in a large population, this condition will be satisfied with very high probability. Thus, in a large population, the utilitarian outcome will be selected by any Condorcet consistent voting rule. In particular, it will be the subgame-perfect equilibrium outcome of several voting games.

Suggested Citation

  • Marcus Pivato, 2014. "Condorcet Meets Bentham," THEMA Working Papers 2014-17, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  • Handle: RePEc:ema:worpap:2014-17
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    References listed on IDEAS

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    1. Nitzan,Shmuel, 2009. "Collective Preference and Choice," Cambridge Books, Cambridge University Press, number 9780521722131, May.
    2. Marcus Pivato, 2016. "Asymptotic utilitarianism in scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 431-458, August.
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    Cited by:

    1. Marcus Pivato, 2016. "Asymptotic utilitarianism in scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 431-458, August.
    2. Keshab Bhattarai, 2016. "Growth and Income Distributions in Four EU Economies," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 22(3), pages 263-277, August.
    3. Pivato, Marcus & Soh, Arnold, 2020. "Weighted representative democracy," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 52-63.

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