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Statistical utilitarianism

  • Pivato, Marcus

We show that, in a sufficiently large population satisfying certain statistical regularities, it is often possible to accurately estimate the utilitarian social welfare function, even if we only have very noisy data about individual utility functions and interpersonal utility comparisons. In particular, we show that it is often possible to identify an optimal or close-to-optimal utilitarian social choice using voting rules such as the Borda rule, approval voting, relative utilitarianism, or any Condorcet-consistent rule.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 49561.

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Date of creation: 06 Sep 2013
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Handle: RePEc:pra:mprapa:49561
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  6. Roger B. Myerson, 2000. "Comparison of Scoring Rules in Poisson Voting Games," Econometric Society World Congress 2000 Contributed Papers 0686, Econometric Society.
  7. DHILLON, Amrita & MERTENS, Jean-François, . "Relative utilitarianism," CORE Discussion Papers RP 1398, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Serrano, Roberto & Vohra, Rajiv, 2005. "A characterization of virtual Bayesian implementation," Games and Economic Behavior, Elsevier, vol. 50(2), pages 312-331, February.
  9. Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
  10. Abreu, Dilip & Matsushima, Hitoshi, 1992. "A Response [Virtual Implementation in Iteratively Undominated Strategies I: Complete Information]," Econometrica, Econometric Society, vol. 60(6), pages 1439-42, November.
  11. Schmitz, Patrick W. & Tröger, Thomas, 2012. "The (sub-)optimality of the majority rule," Games and Economic Behavior, Elsevier, vol. 74(2), pages 651-665.
  12. Breit, William & Culbertson, William Patton, Jr, 1972. "Distributional Equality and Aggregate Utility: Reply," American Economic Review, American Economic Association, vol. 62(3), pages 501-02, June.
  13. Matías Núñez & Jean Laslier, 2014. "Preference intensity representation: strategic overstating in large elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 313-340, February.
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  17. Lerner, A P, 1970. "Distributional Equality and Aggregate Utility: Reply," American Economic Review, American Economic Association, vol. 60(3), pages 442-43, June.
  18. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
  19. Marcus Pivato, 2014. "Asymptotic utilitarianism in scoring rules," THEMA Working Papers 2014-16, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  20. Marcus Pivato, 2013. "Voting rules as statistical estimators," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 581-630, February.
  21. Bag, Parimal Kanti & Sabourian, Hamid & Winter, Eyal, 2009. "Multi-stage voting, sequential elimination and Condorcet consistency," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1278-1299, May.
  22. McCain, Roger A, 1972. "Distributional Equality and Aggregate Utility: Further Comments," American Economic Review, American Economic Association, vol. 62(3), pages 497-500, June.
  23. Green, Jerry & Kohlberg, Elon & Laffont, Jean-Jacques, 1976. "Partial equilibrium approach to the free-rider problem," Journal of Public Economics, Elsevier, vol. 6(4), pages 375-394, November.
  24. McKelvey, Richard D. & Patty, John W., 2006. "A theory of voting in large elections," Games and Economic Behavior, Elsevier, vol. 57(1), pages 155-180, October.
  25. Sen, Amartya, 1999. "Commodities and Capabilities," OUP Catalogue, Oxford University Press, number 9780195650389, June.
  26. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
  27. Amrita Dhillon, 1998. "Extended Pareto rules and relative utilitarianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 521-542.
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