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Welfare As Equity Equivalents

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  • Loïc Berger
  • Johannes Emmerling

Abstract

Equity (or, its counterpart, inequity) plays a fundamental role in the evaluation of social welfare in different dimensions. In this paper, we revisit the concept of inequity – in the sense of unequal distributions – across individuals, time, and states of the world using a unified framework that generalizes the standard expected discounted utilitarianism approach. We propose a general measure of welfare as equity equivalents and a corresponding inequity index. We show that allowing for different attitudes toward inequity across different dimensions covers a scope of possible inequity preferences with different interpretations. We then prove that the order of aggregation across the different dimensions matters for welfare evaluations. Finally, we show that many of the welfare‐theoretical approaches recently developed in the literature can be interpreted as special cases of this general framework.

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  • Loïc Berger & Johannes Emmerling, 2020. "Welfare As Equity Equivalents," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 727-752, September.
  • Handle: RePEc:bla:jecsur:v:34:y:2020:i:4:p:727-752
    DOI: 10.1111/joes.12368
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    1. Tangren Feng & Shaowei Ke, 2018. "Social Discounting and Intergenerational Pareto," Econometrica, Econometric Society, vol. 86(5), pages 1537-1567, September.
    2. Christian Gollier & Phoebe Koundouri & Theologos Pantelidis, 2008. "Declining discount rates: Economic justifications and implications for long-run policy [‘Regime switches in interest rates’]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 23(56), pages 758-795.
    3. Fleurbaey, Marc & Zuber, Stéphane, 2015. "Discounting, risk and inequality: A general approach," Journal of Public Economics, Elsevier, vol. 128(C), pages 34-49.
    4. 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.
    5. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    6. Mirrlees, J. A. & Stern, N. H., 1972. "Fairly good plans," Journal of Economic Theory, Elsevier, vol. 4(2), pages 268-288, April.
    7. Bommier, Antoine & Chassagnon, Arnold & Le Grand, François, 2012. "Comparative risk aversion: A formal approach with applications to saving behavior," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1614-1641.
    8. 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.
    9. 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.
    10. Thibault Gajdos & John Weymark, 2005. "Multidimensional generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 471-496, October.
    11. David Aristei & Bruno Bracalente, 2011. "Measuring multidimensional inequality and well-being: methods and an empirical application to Italian regions," Statistica, Department of Statistics, University of Bologna, vol. 71(2), pages 239-266.
    12. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    13. Johannes Emmerling, 2018. "Sharing Of Climate Risks Across World Regions," Climate Change Economics (CCE), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 1-19, August.
    14. Minh Ha-Duong & Nicolas Treich, 2004. "Risk Aversion, Intergenerational Equity and Climate Change," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 28(2), pages 195-207, June.
    15. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    16. Koen Decancq & María Ana Lugo, 2012. "Inequality of Wellbeing: A Multidimensional Approach," Economica, London School of Economics and Political Science, vol. 79(316), pages 721-746, October.
    17. Marcus Fleming, 1952. "A Cardinal Concept of Welfare," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 66(3), pages 366-384.
    18. Richard S. J. Tol, 2010. "International Inequity Aversion And The Social Cost Of Carbon," Climate Change Economics (CCE), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 21-32.
    19. Marc Fleurbaey & Stéphane Zuber, 2013. "Inequality aversion and separability in social risk evaluation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 675-692, November.
    20. Zuber, Stéphane & Asheim, Geir B., 2012. "Justifying social discounting: The rank-discounted utilitarian approach," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1572-1601.
    21. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    22. Bosmans, Kristof & Decancq, Koen & Ooghe, Erwin, 2015. "What do normative indices of multidimensional inequality really measure?," Journal of Public Economics, Elsevier, vol. 130(C), pages 94-104.
    23. Samuel Fankhauser & Richard Tol & DAVID Pearce, 1997. "The Aggregation of Climate Change Damages: a Welfare Theoretic Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 10(3), pages 249-266, October.
    24. Nordhaus, William D, 1993. "Optimal Greenhouse-Gas Reductions and Tax Policy in the "Dice" Model," American Economic Review, American Economic Association, vol. 83(2), pages 313-317, May.
    25. Piacquadio, Paolo G., 2014. "Intergenerational egalitarianism," Journal of Economic Theory, Elsevier, vol. 153(C), pages 117-127.
    26. Gollier, Christian & Weitzman, Martin L., 2010. "How should the distant future be discounted when discount rates are uncertain?," Economics Letters, Elsevier, vol. 107(3), pages 350-353, June.
    27. Loïc Berger & Johannes Emmerling & Massimo Tavoni, 2017. "Managing Catastrophic Climate Risks Under Model Uncertainty Aversion," Post-Print hal-01744501, HAL.
    28. David Anthoff & Richard Tol, 2009. "The Impact of Climate Change on the Balanced Growth Equivalent: An Application of FUND," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 43(3), pages 351-367, July.
    29. Minh Ha-Duong & Nicolas Treich, 2004. "Risk Aversion, Intergenerational Equity and Climate Change," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 28(2), pages 195-207, June.
    30. Grant, Simon & Kajii, Atsushi & Polak, Ben & Safra, Zvi, 2012. "Equally-distributed equivalent utility, ex post egalitarianism and utilitarianism," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1545-1571.
    31. Elizabeth Stanton, 2011. "Negishi welfare weights in integrated assessment models: the mathematics of global inequality," Climatic Change, Springer, vol. 107(3), pages 417-432, August.
    32. Hennessy, David A. & Lapan, Harvey E., 2006. "On the nature of certainty equivalent functionals," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 1-10, December.
    33. 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.
    34. Marc Fleurbaey & Stéphane Zuber, 2013. "Inequality aversion and separability in social risk evaluation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 675-692, November.
    35. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    36. Nordhaus, William D & Yang, Zili, 1996. "A Regional Dynamic General-Equilibrium Model of Alternative Climate-Change Strategies," American Economic Review, American Economic Association, vol. 86(4), pages 741-765, September.
    37. Antoine Bommier & Arnold Chassagnon & François Le Grand, 2012. "Comparative risk aversion: A formal approach with applications to saving behavior," PSE-Ecole d'économie de Paris (Postprint) halshs-00754583, HAL.
    38. Antoine Bommier, 2007. "Risk Aversion, Intertemporal Elasticity of Substitution and Correlation Aversion," Economics Bulletin, AccessEcon, vol. 4(29), pages 1-8.
    39. Gollier, Christian, 2015. "Discounting, inequality and economic convergence," Journal of Environmental Economics and Management, Elsevier, vol. 69(C), pages 53-61.
    40. Frank Ackerman & Elizabeth Stanton & Ramón Bueno, 2013. "Epstein–Zin Utility in DICE: Is Risk Aversion Irrelevant to Climate Policy?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 56(1), pages 73-84, September.
    41. Antoine Bommier & Arnold Chassagnon & François Le Grand, 2012. "Comparative risk aversion: A formal approach with applications to saving behavior," Post-Print halshs-00754583, HAL.
    42. Marinacci, Massimo & Montrucchio, Luigi, 2010. "Unique solutions for stochastic recursive utilities," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1776-1804, September.
    43. Benjamin Crost & Christian P. Traeger, 2014. "Optimal CO2 mitigation under damage risk valuation," Nature Climate Change, Nature, vol. 4(7), pages 631-636, July.
    44. Selden, Larry, 1978. "A New Representation of Preferences over "Certain A Uncertain" Consumption Pairs: The "Ordinal Certainty Equivalent" Hypothesis," Econometrica, Econometric Society, vol. 46(5), pages 1045-1060, September.
    45. K. J. Arrow, 1964. "The Role of Securities in the Optimal Allocation of Risk-bearing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 91-96.
    46. Loïc Berger & Johannes Emmerling & Massimo Tavoni, 2017. "Managing Catastrophic Climate Risks Under Model Uncertainty Aversion," Management Science, INFORMS, vol. 63(3), pages 749-765, March.
    47. L. Eeckhoudt & C. Gollier & H. Schlesinger, 2005. "Economic and financial decisions under risk," Post-Print hal-00325882, HAL.
    48. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    49. James Foster & Luis Lopez-Calva & Miguel Szekely, 2005. "Measuring the Distribution of Human Development: methodology and an application to Mexico," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 6(1), pages 5-25.
    50. Larry Selden, 1979. "An OCE Analysis of the Effect of Uncertainty on Saving under Risk Preference Independence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(1), pages 73-82.
    51. Eric Maskin, 1978. "A Theorem on Utilitarianism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 93-96.
    52. Adler, Matthew D. & Treich, Nicolas, 2017. "Utilitarianism, prioritarianism, and intergenerational equity: A cake eating model," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 94-102.
    53. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
    54. Antoine Bommier & Arnold Chassagnon & François Le Grand, 2012. "Comparative risk aversion : A formal approach with applications to saving behavior," Post-Print hal-02312602, HAL.
    55. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    56. Thomas S. Lontzek & Yongyang Cai & Kenneth L. Judd & Timothy M. Lenton, 2015. "Stochastic integrated assessment of climate tipping points indicates the need for strict climate policy," Nature Climate Change, Nature, vol. 5(5), pages 441-444, May.
    57. -, 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).
    58. repec:dau:papers:123456789/4434 is not listed on IDEAS
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