Mongin, Philippe and Pivato, Marcus (2016): Social preference under twofold uncertainty.
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Abstract
We investigate the conflict between the ex ante and ex post criteria of social welfare in a novel axiomatic framework of individual and social decisions, which distinguishes between a subjective and an objective source of uncertainty. This framework permits us to endow the individuals and society not only with ex ante and ex post preferences, as is classically done, but also with interim preferences of two kinds, and correspondingly, to introduce interim forms of the Pareto principle. After characterizing the ex ante and ex post criteria, we present a first solution to their conflict that amounts to extending the former as much possible in the direction of the latter. Then, we present a second solution, which goes in the opposite direction, and is our preferred one. This solution combines the ex post criterion with an objective interim Pareto principle, which avoids the pitfalls of the ex ante Pareto principle, and especially the problem of "spurious unanimity" discussed in the literature. Both solutions translate the assumed Pareto conditions into weighted additive utility representations, and both attribute common individual probability values only to the objective source of uncertainty.
Item Type: | MPRA Paper |
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Original Title: | Social preference under twofold uncertainty |
Language: | English |
Keywords: | Ex ante social welfare; ex post social welfare; objective versus subjective uncertainty; Pareto principle; separability; Harsanyi social aggregation theorem; spurious unanimity. |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making > D70 - General D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D81 - Criteria for Decision-Making under Risk and Uncertainty |
Item ID: | 71776 |
Depositing User: | Marcus Pivato |
Date Deposited: | 06 Jun 2016 07:05 |
Last Modified: | 04 Oct 2019 20:14 |
References: | Alon, Shiri, and Gabrielle Gayer. 2016. "Utilitarian preferences with multiple priors." Econometrica, 84(3): 1181–1201. Anscombe, Francis J., and Robert J. Aumann. 1963. "A definition of subjective probability." Ann. Math. Statist., 34: 199–205. Bewley, Truman. 2002. "Knightian decision theory. Part I." Decisions in economics and finance, 25(2): 79–110. Billot, Antoine, and Vassili Vergopoulos. 2016. "Aggregation of Paretian preferences for independent individual uncertainties." (working paper). Blume, Lawrence E, Timothy Cogley, David A Easley, Thomas J Sargent, and Viktor Tsyrennikov. 2015. "A case for incomplete markets." Reihe Ökonomie, Institut für Höhere Studien. Brunnermeier, Markus, Alp Simsek, and Wei Xiong. 2014. "A Welfare Criterion For Models With Distorted Beliefs." The Quarterly Journal of Economics, 129(4): 1753–1797. Chambers, Christopher, and Takashi Hayashi. 2014. "Preference aggregation with incomplete information." Econometrica, 82(2): 589–599. Chambers, Christopher P., and Takashi Hayashi. 2006. "Preference aggregation under uncertainty: Savage vs. Pareto." Games Econom. Behav., 54: 430–440. Clemen, Robert T., and Robert L. Winkler. 2007. "Aggregating probability distributions." In Advances in Decision Analysis. , ed. W. Edwards, R. Miles and D. von Winterfeldt, 154–176. Cambridge, UK:Cambridge University Press. Danan, Eric, Thibault Gajdos, Brian Hill, and Jean-Marc Tallon. 2015. "Aggregating Tastes, Beliefs, and Attitudes under Uncertainty." (published as Danan et al. 2016). Danan, Eric, Thibault Gajdos, Brian Hill, and Jean-Marc Tallon. 2016. "Robust Social Decisions." American Economic Review, (to appear). (earlier circulated as Danan et al. 2015). Fleurbaey, Marc, and Philippe Mongin. 2016. "The Utilitarian Relevance of the Social Aggregation Theorem." American Economic Journal (Microeconomics), to appear. Gajdos, Thibault, Jean-Marc Tallon, and Jean-Christophe Vergnaud. 2008. "Representation and aggregation of preferences under uncertainty." J. Econom. Theory, 141: 68–99. Gayer, Gabrielle, Itzhak Gilboa, Larry Samuelson, and David Schmeidler. 2014. "Pareto Efficiency with Different Beliefs." Journal of Legal Studies. Genest, Christian, and James V. Zidek. 1986. "Combining probability distributions: a critique and an annotated bibliography." Statist. Sci., 1: 114–148. Gilboa, Itzhak, and David Schmeidler. 1989. "Maxmin expected utility with nonunique prior." J. Math. Econom., 18(2): 141–153. Gilboa, Itzhak, Dov Samet, and David Schmeidler. 2004. "Utilitarian aggregation of beliefs and tastes." Journal of Political Economy, 112: 932–938. Gilboa, Itzhak, Larry Samuelson, and David Schmeidler. 2014. "No-Betting Pareto Dominance." Econometrica, 82: 1405–1442. Hammond, Peter J. 1981. "Ex ante and ex post welfare optimality under uncertainty." Economica, 48: 235–250. Hammond, Peter J. 1983. "Utilitarianism, Uncertainty and Information." In Utilitarianism and Beyond. , ed. A. Sen and B. Williams, 85–102. Cambridge: Cambridge University Press. Harsanyi, John C. 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal comparisons of Utility." Journal of Political Economy, 63: 309–321. Hild, Matthias, Richard Jeffrey, and Mathias Risse. 2003. "Flipping and Ex Post Aggregation." Social Choice and Welfare, 20: 267–275. Karni, Edi. 2014. "Axiomatic Foundations of Expected Utility and Subjective Probability." In Handbook of the Economics of Risk and Uncertainty. , ed. Mark J. Machina and W. K. Viscusi, 1–39. Mongin, Philippe. 1995. "Consistent Bayesian aggregation." J. Econom. Theory, 66: 313–351. Mongin, Philippe. 1997. "Spurious unanimity and the Pareto principle." THEMA, Université de Cergy-Pontoise (working paper). Reissued as LSE-CPNSS working paper (2005). Mongin, Philippe. 1998. "The paradox of the Bayesian experts and state-dependent utility theory." J. Math. Econom., 29: 331–361. Mongin, Philippe, and Marcus Pivato. 2015. "Ranking Multidimensional Alternatives and Uncertain Prospects." Journal of Economic Theory, 157: 146–171. Mongin, Philippe, and Marcus Pivato. 2016. "Social Evaluation Under Risk and Uncertainty." In The Oxford Handbook of Well-Being and Economic Policy. , ed. Matthew D. Adler and Marc Fleurbaey, Chapter 24. Oxford. Nehring, Klaus. 2004. "The veil of public ignorance." Journal of Economic Theory, 119: 247– 270. Posner, Eric, and Glen Weyl. 2013. "FDA for Financial Innovation: Applying the Insurable Interest Doctrine to Twenty-First-Century Financial Markets." Northwestern University Law Review, 107(3): 1307. Qu, Xiangyu. 2016. "Separate Aggregation of Beliefs and Values under Ambiguity." Economic Theory, (to appear). Risse, Mathias. 2003. "Bayesian Group Aggregation and Two Modes of Aggregation." Synthese, 135: 347–377. Savage, Leonard J. 1972. The foundations of statistics. New York:Dover Publications Inc. Schmeidler, David. 1989. "Subjective probability and expected utility without additivity." Econometrica, 57(3): 571–587. Starr, Ross M. 1973. "Optimal Production and Allocation Under Uncertainty." Quarterly Journal of Economics, 87: 81–95. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/71776 |