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Fair management of social risk

Author

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  • Stéphane Zuber

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Marc Fleurbaey

    (Woodrow Wilson School and Center for Human Values - Princeton University)

Abstract

We provide a general method for extending social preferences defined for riskless economic environments to the context of risk and uncertainty. We apply the method to the problems of managing unemployment allowances (in the context of macroeconomic fluctuations) and catastrophic risks (in the context of climate change). The method guarantees ex post fairness and pays attention to individuals' risk attitudes, while ensuring rationality properties for social preferences, revisiting basic ideas from Harsanyi's celebrated aggregation theorem (Harsanyi, 1955). The social preferences that we obtain do not always take the form of an expected utility criterion, but they always satisfy statewise dominance. When we require social preferences to be expected utilities, we obtain a variant of Harsanyi's result under a weak version of the Pareto principle, and a maximin criterion under a stronger Pareto requirement, whenever the ex post social ordering does not depend on people's risk attitudes. We also show how non-expected utility individual preferences can be accommodated in the approach.

Suggested Citation

  • Stéphane Zuber & Marc Fleurbaey, 2017. "Fair management of social risk," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01503848, HAL.
  • Handle: RePEc:hal:cesptp:halshs-01503848
    DOI: 10.1016/j.jet.2017.03.009
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    as
    1. Grant, Simon & Özsoy, Hatice & Polak, Ben, 2008. "Probabilistic sophistication and stochastic monotonicity in the Savage framework," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 371-380, May.
    2. Asheim, Geir B. & Zuber, Stéphane, 2016. "Evaluating intergenerational risks," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 104-117.
    3. Dreze, Jacques H. & Gollier, Christian, 1993. "Risk sharing on the labour market and second-best wage rigidities," European Economic Review, Elsevier, vol. 37(8), pages 1457-1482, December.
    4. De Meyer, Bernard & Mongin, Philippe, 1995. "A note on affine aggregation," Economics Letters, Elsevier, vol. 47(2), pages 177-183, February.
    5. Mongin, Philippe, 1998. "The paradox of the Bayesian experts and state-dependent utility theory," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 331-361, April.
    6. Philippe Mongin & Marcus Pivato, 2020. "Social preference under twofold uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 633-663, October.
    7. Edi Karni, 1998. "Impartiality: Definition and Representation," Econometrica, Econometric Society, vol. 66(6), pages 1405-1416, November.
    8. Hill , Brian & Danan , Eric, 2014. "Aggregating Tastes, Beliefs, and Attitudes Under Uncertainty," HEC Research Papers Series 1057, HEC Paris.
    9. Antony Millner, 2013. "On Welfare Frameworks and Catastrophic Climate Risks," CESifo Working Paper Series 4442, CESifo.
    10. Ben-Porath, Elchanan & Gilboa, Itzhak & Schmeidler, David, 1997. "On the Measurement of Inequality under Uncertainty," Journal of Economic Theory, Elsevier, vol. 75(1), pages 194-204, July.
    11. Sarin, Rakesh & Wakker, Peter P., 2000. "Cumulative dominance and probabilistic sophistication," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 191-196, September.
    12. Gajdos, Thibault & Maurin, Eric, 2004. "Unequal uncertainties and uncertain inequalities: an axiomatic approach," Journal of Economic Theory, Elsevier, vol. 116(1), pages 93-118, May.
    13. Xiangyu Qu, 2017. "Separate aggregation of beliefs and values under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 503-519, February.
    14. ,, 2012. "The ex-ante aggregation of opinions under uncertainty," Theoretical Economics, Econometric Society, vol. 7(3), September.
    15. Eric Danan & Thibault Gajdos & Brian Hill & Jean-Marc Tallon, 2016. "Robust Social Decisions," American Economic Review, American Economic Association, vol. 106(9), pages 2407-2425, September.
    16. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    17. DECANCQ, Koen & FLEURBAEY, Marc & SCHOKKAERT, Erik, 2014. "Inequality, income, and well-being," LIDAM Discussion Papers CORE 2014018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. Itzhak Gilboa & Dov Samet & David Schmeidler, 2004. "Utilitarian Aggregation of Beliefs and Tastes," Journal of Political Economy, University of Chicago Press, vol. 112(4), pages 932-938, August.
    19. Rafael Treibich, 2019. "Welfare egalitarianism with other-regarding preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(1), pages 1-28, January.
    20. Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2011. "Aggregation of multiple prior opinions," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2563-2582.
    21. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521887427, January.
    22. Martin L. Weitzman, 2009. "On Modeling and Interpreting the Economics of Catastrophic Climate Change," The Review of Economics and Statistics, MIT Press, vol. 91(1), pages 1-19, February.
    23. Thibault Gajdos & Jean-Marc Tallon, 2002. "Fairness under Uncertainty," Economics Bulletin, AccessEcon, vol. 4(18), pages 1-7.
    24. Eric Danan & Thibault Gajdos & Brian Hill & Jean-Marc Tallon, 2016. "Robust Social Decisions," American Economic Review, American Economic Association, vol. 106(9), pages 2407-2425, September.
    25. Chambers, Christopher P. & Hayashi, Takashi, 2006. "Preference aggregation under uncertainty: Savage vs. Pareto," Games and Economic Behavior, Elsevier, vol. 54(2), pages 430-440, February.
    26. Fleurbaey, Marc & Gajdos, Thibault & Zuber, Stéphane, 2015. "Social rationality, separability, and equity under uncertainty," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 13-22.
    27. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    28. Chambers, Christopher P. & Echenique, Federico, 2012. "When does aggregation reduce risk aversion?," Games and Economic Behavior, Elsevier, vol. 76(2), pages 582-595.
    29. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    30. Christian Gollier, 1991. "Unemployment Insurance: Risk Sharing Versus Efficiency," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 16(1), pages 59-74, June.
    31. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    32. Simon Grant & Atsushi Kajii & Ben Polak & Zvi Safra, 2010. "Generalized Utilitarianism and Harsanyi's Impartial Observer Theorem," Econometrica, Econometric Society, vol. 78(6), pages 1939-1971, November.
    33. Benoit Decerf & Martin Linden, 2016. "Fair social orderings with other-regarding preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 655-694, March.
    34. Walter Nicholson & Karen Needels, 2006. "Unemployment Insurance: Strengthening the Relationship between Theory and Policy," Journal of Economic Perspectives, American Economic Association, vol. 20(3), pages 47-70, Summer.
    35. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    36. Simone Cerreia-Vioglio & Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci & Marciano Siniscalchi, 2011. "Rational preferences under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 341-375, October.
    37. Geoffrey Heal & Antony Millner, 2015. "Should climate policy account for ambiguity?," GRI Working Papers 202, Grantham Research Institute on Climate Change and the Environment.
    38. Robert S. Pindyck & Neng Wang, 2013. "The Economic and Policy Consequences of Catastrophes," American Economic Journal: Economic Policy, American Economic Association, vol. 5(4), pages 306-339, November.
    39. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July.
    40. -, 2009. "The economics of climate change," Sede Subregional de la CEPAL para el Caribe (Estudios e Investigaciones) 38679, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    41. Blackorby, Charles & Donaldson, David & Weymark, John A., 1999. "Harsanyi's social aggregation theorem for state-contingent alternatives1," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 365-387, November.
    42. Markus K. Brunnermeier & Alp Simsek & Wei Xiong, 2014. "A Welfare Criterion For Models With Distorted Beliefs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1753-1797.
    43. Drummond, Michael F. & Sculpher, Mark J. & Torrance, George W. & O'Brien, Bernie J. & Stoddart, Greg L., 2005. "Methods for the Economic Evaluation of Health Care Programmes," OUP Catalogue, Oxford University Press, edition 3, number 9780198529453.
    44. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
    45. repec:mpr:mprres:5070 is not listed on IDEAS
    46. Epstein, Larry G & Segal, Uzi, 1992. "Quadratic Social Welfare Functions," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 691-712, August.
    47. Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75, pages 765-765.
    48. Hervé Crès & Itzhak Gilboa & Nicolas Vieille, 2011. "Aggregation of multiple prior opinions," Post-Print hal-00656618, HAL.
    49. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    50. Millner, Antony, 2013. "On welfare frameworks and catastrophic climate risks," Journal of Environmental Economics and Management, Elsevier, vol. 65(2), pages 310-325.
    51. Chew, Soo Hong & Sagi, Jacob S., 2012. "An inequality measure for stochastic allocations," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1517-1544.
    52. Itzhak Gilboa, 2015. "Rationality and the Bayesian paradigm," Journal of Economic Methodology, Taylor & Francis Journals, vol. 22(3), pages 312-334, September.
    53. Fleurbaey, Marc & Gajdos, Thibault & Zuber, Stéphane, 2015. "Social rationality, separability, and equity under uncertainty," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 13-22.
    54. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    55. Al-Najjar, Nabil I. & Weinstein, Jonathan, 2009. "Rejoinder: The €Œambiguity Aversion Literature: A Critical Assessmentâ€," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 357-369, November.
    56. Mongin, Philippe, 2016. "Spurious Unanimity And The Pareto Principle," Economics and Philosophy, Cambridge University Press, vol. 32(3), pages 511-532, November.
    57. Walter Nicholson & Karen Needels, "undated". "Unemployment Insurance: Strengthening the Relationship Between Theory and Policy," Mathematica Policy Research Reports 062881e2c70d4513829b70fee, Mathematica Policy Research.
    58. Marc Fleurbaey, 2005. "Health, Wealth, and Fairness," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(2), pages 253-284, May.
    59. Al-Najjar, Nabil I. & Weinstein, Jonathan, 2009. "The Ambiguity Aversion Literature: A Critical Assessment," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 249-284, November.
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    Cited by:

    1. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2020. "Utilitarianism with and without expected utility," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 77-113.
    2. Takashi Hayashi & Michele Lombardi, 2019. "Fair social decision under uncertainty and belief disagreements," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(4), pages 775-816, June.
    3. Anne‐Laure Samson & Erik Schokkaert & Clémence Thébaut & Brigitte Dormont & Marc Fleurbaey & Stéphane Luchini & Carine Van de Voorde, 2018. "Fairness in cost‐benefit analysis: A methodology for health technology assessment," Health Economics, John Wiley & Sons, Ltd., vol. 27(1), pages 102-114, January.
    4. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2016. "Utilitarianism with and without expected utility," MPRA Paper 72578, University Library of Munich, Germany.
    5. Marc Fleurbaey, 2018. "Welfare economics, risk and uncertainty," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 51(1), pages 5-40, February.
    6. Marc Fleurbaey & Stéphane Zuber, 2021. "Fair Utilitarianism," American Economic Journal: Microeconomics, American Economic Association, vol. 13(2), pages 370-401, May.
    7. Piacquadio, Paolo G., 2020. "The ethics of intergenerational risk," Journal of Economic Theory, Elsevier, vol. 186(C).
    8. Thierry Marchant, 2019. "Utilitarianism without individual utilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 1-19, June.
    9. Elias Aptus & Volker Britz & Hans Gersbach, 2020. "Crisis Contracts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 121-164, July.
    10. Miyagishima, Kaname, 2023. "Time-consistent fair social choice," Theoretical Economics, Econometric Society, vol. 18(3), July.
    11. Takashi Hayashi, 2019. "What Should Society Maximise Under Uncertainty?," The Japanese Economic Review, Springer, vol. 70(4), pages 446-478, December.
    12. Kaname Miyagishima, 2022. "Efficiency, equity, and social rationality under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 237-255, February.
    13. Miyagishima, Kaname, 2019. "Fair criteria for social decisions under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 77-87.

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    More about this item

    Keywords

    Social choice; Fairness; Uncertainty; Social risk;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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