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Asymptotic utilitarianism in scoring rules

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  • Marcus Pivato

    () (Université de Cergy-Pontoise)

Abstract

Given a large enough population of voters whose utility functions satisfy certain statistical regularities, we show that voting rules such as the Borda rule, approval voting, and evaluative voting have a very high probability of selecting the social alternative which maximizes the utilitarian social welfare function. We also characterize the speed with which this probability approaches one as the population grows.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:sochwe:v:47:y:2016:i:2:d:10.1007_s00355-016-0971-2
    DOI: 10.1007/s00355-016-0971-2
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    Cited by:

    1. Aidan Lyon & Michael Morreau, 2018. "The wisdom of collective grading and the effects of epistemic and semantic diversity," Theory and Decision, Springer, vol. 85(1), pages 99-116, July.
    2. Pivato, Marcus, 2015. "Condorcet meets Bentham," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 58-65.
    3. Marcus Pivato, 2016. "Statistical Utilitarianism," Studies in Political Economy, in: Maria Gallego & Norman Schofield (ed.), The Political Economy of Social Choices, pages 187-204, Springer.

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    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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