Pivato, Marcus (2013): Statistical utilitarianism.
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Abstract
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.
Item Type: | MPRA Paper |
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Original Title: | Statistical utilitarianism |
Language: | English |
Keywords: | utilitarian; relative utilitarian; approval voting; Borda; scoring rule; Condorcet. |
Subjects: | D - Microeconomics > D6 - Welfare Economics > D60 - General D - Microeconomics > D7 - Analysis of Collective Decision-Making > D70 - General |
Item ID: | 49561 |
Depositing User: | Marcus Pivato |
Date Deposited: | 06 Sep 2013 19:36 |
Last Modified: | 27 Sep 2019 07:25 |
References: | Abreu, D., Matsushima, H., 1992. Virtual implementation in iteratively undominated strategies: complete information. Econometrica 60 (5), 993–1008. Abreu, D., Sen, A., 1991. Virtual implementation in Nash equilibrium. Econometrica 59 (4), 997–1021. Apesteguia, J., Ballester, M. A., Ferrer, R., 2011. On the justice of decision rules. Rev. Econ. Stud. 78 (1), 1–16. Artemov, G., Kunimoto, T., Serrano, R., 2013. Robust virtual implementation: Toward a reinterpretation of the Wilson doctrine. Journal of Economic Theory 148 (2), 424 – 447. Bag, P. K., Sabourian, H., Winter, E., 2009. Multi-stage voting, sequential elimination and Condorcet consistency. J. Econom. Theory 144 (3), 1278–1299. Bordley, R. F., 1983. A pragmatic method for evaluating election schemes through simulation. American Political Science Review 77, 123–141. Brams, S. J., Fishburn, P. C., 1983. Approval voting. Birkhauser Boston, Mass. Breit, W., Culbertson Jr., W., June 1970. Distributional equality and aggregate utlity; comment. American Economic Review 60 (3), 435–41. Breit, W., Culbertson Jr., W. P., June 1972. Distributional equality and aggregate utility: Reply. American Economic Review 62 (3), 501–502. Caragiannis, I., Procaccia, A. D., 2011. Voting almost maximizes social welfare despite limited communication. Artificial Intelligence 175 (9–10), 1655 – 1671. Coughlin, P., 1992. Probabilistic Voting Theory. Cambridge Univ. Press, Cambridge. Dhillon, A., 1998. Extended Pareto rules and relative utilitarianism. Soc. Choice Welf. 15, 521– 542. Dhillon, A., Mertens, J.-F., 1999. Relative utilitarianism. Econometrica 67, 471–498. Enelow, J. M., Hinich, M. J. (Eds.), 2008. Advances in the Spatial Theory of Voting. Cambridge University Press, Cambridge, UK. Giles, A., Postl, P., August 2012. Equilibrium and welfare of two-parameter scoring rules. (preprint). Harter, H. L., Balakrishnan, N., 1996. CRC handbook of tables for the use of order statistics in estimation. CRC Press, Boca Raton, FL. Hinich, M. J., Munger, M. C., 1997. Analytical Politics. Cambridge University Press, Cambridge, UK. Horan, S., 2013. Implementation of majority voting rules. (preprint). Kahneman, D., Diener, E., Schwarz, N. (Eds.), 1999. Well-being: The foundations of hedonic psychology. Russell Sage Foundation, New York, NY. Kim, S., May 2012. Ordinal versus cardinal voting rules: a mechanism design approach. (preprint). Laslier, J.-F., Sanver, M. R. (Eds.), 2010. Handbook on approval voting. Studies in Choice and Welfare. Springer, Heidelberg. Ledyard, J. O., 1984. The pure theory of large two-candidate elections. Public Choice 44 (1), 7–41. Lerner, A. P., 1944. The Economics of Control. New York. Lerner, A. P., June 1970. Distributional equality and aggregate utility: Reply. American Economic Review 60 (3), 442–43. Lindbeck, A., Weibull, J. W., 1987. Balanced-budget redistribution as the outcome of political competition. Public Choice 52 (3), 273–297. Lindbeck, A., Weibull, J. W., 1993. A model of political equilibrium in a representative democracy. Journal of Public Economics 51 (2), 195–209. Loewenstein, G., Schkade, D., 1999. Wouldn’t it be nice? predicting future feelings. In: Kahneman et al. (1999), Ch. 5, pp. 85–105. Matsushima, H., 1988. A new approach to the implementation problem. J. Econom. Theory 45 (1), 128–144. McCain, R., June 1972. Distributional equality and aggregate utility: Further comments. Amer- ican Economic Review 62 (3), 497–500. McKelvey, R. D., Patty, J. W., 2006. A theory of voting in large elections. Games Econom. Behav. 57 (1), 155–180. McManus, M., Walton, G. M., Coffman, R. B., June 1972. Distributional equality and aggregate utility: Further comment. American Economic Review 62 (3), 489–496. Merrill, S., 1984. A comparison of efficiency of multicandidate electoral systems. American Journal of Political Science 28, 23–48. Miller, N. R., Nov 1977. Graph-theoretical approaches to the theory of voting. American Journal of Political Science 21 (4), 769–803. Myerson, R. B., 2002. Comparison of scoring rules in Poisson voting games. J. Econom. Theory 103 (1), 219–251, political science. Nitzan, S., 2009. Collective Preference and Choice. Cambridge University Press. Nunez, M., Laslier, J. F., 2013. Preference intensity representation: strategic overstating in large elections. Social Choice and Welfare (to appear). Pivato, M., February 2013. Voting rules as statistical estimators. Social Choice and Welfare 40 (2), 581–630. Rae, D., 1969. Decision rules and individual values in constitutional choice. Amer. Polit. Sci. Rev. 63, 40–56. Schmitz, P. W., Troger, T., 2012. The (sub-)optimality of the majority rule. Games Econom. Behav. 74 (2), 651–665. Serrano, R., Vohra, R., 2005. A characterization of virtual Bayesian implementation. Games Econom. Behav. 50 (2), 312–331. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/49561 |