IDEAS home Printed from https://ideas.repec.org/p/ema/worpap/2014-18.html
   My bibliography  Save this paper

Statistical utilitarianism

Author

Listed:
  • Marcus Pivato

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

Abstract

Given a sufficiently large population satisfying certain statistical regularities, we show that it is often possible to accurately estimate the utilitarian social welfare function and identify the welfare-maximizing social alternative, even if we only have very noisy data about individual utility functions and interpersonal utility comparisons, and even if the individuals can be strategically dishonest.

Suggested Citation

  • Marcus Pivato, 2014. "Statistical utilitarianism," THEMA Working Papers 2014-18, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  • Handle: RePEc:ema:worpap:2014-18
    as

    Download full text from publisher

    File URL: http://thema.u-cergy.fr/IMG/documents/2014-18.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Assar Lindbeck & Jörgen Weibull, 1987. "Balanced-budget redistribution as the outcome of political competition," Public Choice, Springer, vol. 52(3), pages 273-297, January.
    2. Nitzan,Shmuel, 2009. "Collective Preference and Choice," Cambridge Books, Cambridge University Press, number 9780521722131.
    3. 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.
    4. 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.
    5. Lerner, A P, 1970. "Distributional Equality and Aggregate Utility: Reply," American Economic Review, American Economic Association, vol. 60(3), pages 442-443, June.
    6. 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.
    7. 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.
    8. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    9. Giles, Adam & Postl, Peter, 2014. "Equilibrium and effectiveness of two-parameter scoring rules," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 31-52.
    10. John Ledyard, 1984. "The pure theory of large two-candidate elections," Public Choice, Springer, vol. 44(1), pages 7-41, January.
    11. Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
    12. Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March.
    13. Schmitz, Patrick W. & Tröger, Thomas, 2012. "The (sub-)optimality of the majority rule," Games and Economic Behavior, Elsevier, vol. 74(2), pages 651-665.
    14. Serrano, Roberto & Vohra, Rajiv, 2005. "A characterization of virtual Bayesian implementation," Games and Economic Behavior, Elsevier, vol. 50(2), pages 312-331, February.
    15. Lindbeck, Assar & Weibull, Jorgen W., 1993. "A model of political equilibrium in a representative democracy," Journal of Public Economics, Elsevier, vol. 51(2), pages 195-209, June.
    16. McCain, Roger A, 1972. "Distributional Equality and Aggregate Utility: Further Comments," American Economic Review, American Economic Association, vol. 62(3), pages 497-500, June.
    17. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
    18. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
    19. Artemov, Georgy & Kunimoto, Takashi & Serrano, Roberto, 2013. "Robust virtual implementation: Toward a reinterpretation of the Wilson doctrine," Journal of Economic Theory, Elsevier, vol. 148(2), pages 424-447.
    20. Abreu, Dilip & Matsushima, Hitoshi, 1992. "A Response [Virtual Implementation in Iteratively Undominated Strategies I: Complete Information]," Econometrica, Econometric Society, vol. 60(6), pages 1439-1442, November.
    21. Sen, Amartya, 1999. "Commodities and Capabilities," OUP Catalogue, Oxford University Press, number 9780195650389, Decembrie.
    22. 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.
    23. Breit, William & Culbertson, William Patton, Jr, 1972. "Distributional Equality and Aggregate Utility: Reply," American Economic Review, American Economic Association, vol. 62(3), pages 501-502, June.
    24. Jose Apesteguia & Miguel A. Ballester & Rosa Ferrer, 2011. "On the Justice of Decision Rules," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 1-16.
    25. Bordley, Robert F., 1983. "A Pragmatic Method for Evaluating Election Schemes through Simulation," American Political Science Review, Cambridge University Press, vol. 77(1), pages 123-141, March.
    26. Rae, Douglas W., 1969. "Decision-Rules and Individual Values in Constitutional Choice," American Political Science Review, Cambridge University Press, vol. 63(1), pages 40-56, March.
    27. Breit, William & Culbertson, William P, Jr, 1970. "Distributional Equality and Aggregate Utility: Comment," American Economic Review, American Economic Association, vol. 60(3), pages 435-441, June.
    28. 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.
    29. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    30. 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.
    31. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
    32. Jean-François Laslier & M. Remzi Sanver (ed.), 2010. "Handbook on Approval Voting," Studies in Choice and Welfare, Springer, number 978-3-642-02839-7, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Pivato, Marcus, 2015. "Condorcet meets Bentham," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 58-65.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Núñez, Matías & Pivato, Marcus, 2019. "Truth-revealing voting rules for large populations," Games and Economic Behavior, Elsevier, vol. 113(C), pages 285-305.
    3. Pivato, Marcus, 2015. "Condorcet meets Bentham," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 58-65.
    4. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
    5. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    6. Serrano, Roberto & Vohra, Rajiv, 2010. "Multiplicity of mixed equilibria in mechanisms: A unified approach to exact and approximate implementation," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 775-785, September.
    7. Artemov, Georgy & Kunimoto, Takashi & Serrano, Roberto, 2013. "Robust virtual implementation: Toward a reinterpretation of the Wilson doctrine," Journal of Economic Theory, Elsevier, vol. 148(2), pages 424-447.
    8. Kwiek, Maksymilian, 2017. "Efficient voting with penalties," Games and Economic Behavior, Elsevier, vol. 104(C), pages 468-485.
    9. Postl, Peter, 2017. "Évaluation et comparaison des règles de vote derrière le voile de l’ignorance : Tour d'horizon sélectif et analyse des règles de scores à deux paramètres," L'Actualité Economique, Société Canadienne de Science Economique, vol. 93(1-2), pages 249-290, Mars-Juin.
    10. Chen, Yi-Chun & Kunimoto, Takashi & 国本, 隆 & Sun, Yifei, 2015. "Implementation with Transfers," Discussion Papers 2015-04, Graduate School of Economics, Hitotsubashi University.
    11. Gerardi, Dino & McLean, Richard & Postlewaite, Andrew, 2009. "Aggregation of expert opinions," Games and Economic Behavior, Elsevier, vol. 65(2), pages 339-371, March.
    12. Hitoshi Matsushima & Shunya Noda, 2020. "Mechanism Design with Blockchain Enforcement," DSSR Discussion Papers 111, Graduate School of Economics and Management, Tohoku University.
    13. Takashi Kunimoto & Cuiling Zhang, 2021. "On incentive compatible, individually rational public good provision mechanisms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(2), pages 431-468, August.
    14. Kar, Anirban & Ray, Indrajit & Serrano, Roberto, 2005. "Multiple equilibria as a difficulty in understanding correlated distributions," UC3M Working papers. Economics we057238, Universidad Carlos III de Madrid. Departamento de Economía.
    15. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design: An Introduction," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 1, pages 1-48, World Scientific Publishing Co. Pte. Ltd..
    16. Jon X. Eguia & Dimitrios Xefteris, 2021. "Implementation by Vote-Buying Mechanisms," American Economic Review, American Economic Association, vol. 111(9), pages 2811-2828, September.
    17. Hitoshi Matsushima, 2005. "On Detail‐Free Mechanism Design And Rationality," The Japanese Economic Review, Japanese Economic Association, vol. 56(1), pages 41-54, March.
    18. Kartik, Navin & Tercieux, Olivier & Holden, Richard, 2014. "Simple mechanisms and preferences for honesty," Games and Economic Behavior, Elsevier, vol. 83(C), pages 284-290.
    19. Chen, Jing & Micali, Silvio, 2012. "Collusive dominant-strategy truthfulness," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1300-1312.
    20. Serrano, Roberto & Vohra, Rajiv, 2005. "A characterization of virtual Bayesian implementation," Games and Economic Behavior, Elsevier, vol. 50(2), pages 312-331, February.

    More about this item

    Keywords

    utilitarian; interpersonal comparisons; Groves-Clarke pivotal mecha- nism.;
    All these keywords.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ema:worpap:2014-18. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Stefania Marcassa (email available below). General contact details of provider: https://edirc.repec.org/data/themafr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.