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Formal welfarism and intergenerational equity

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  • d’ASPREMONT, Claude

Abstract

The formulation of the problem of justice among generations as the problem of finding an ordering of infinite utility streams is examined within the "social welfare functional" approach to social choice. This formulation usually presumes a double reduction, not only the classical "welfarist" reduction, according to which "utility" provides all the information required to construct a social evaluation rule, but also the aggregation of the individual utility levels at each generation into a single utility level. We shall argue that this second type of reduction obliterates the relationship between the values judgments made in the social evaluation ofthe welfare of the presently living generation with that of future generations and does not emphasize the capacity for many social evaluation criteria (including pure utilitarianism and Leximin) to "proliferate" from the present generation to any larger set of generations. Our results concerning the orderings generated by such proliferating rules are compared to characterisations already given in the literature.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2005075.

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Date of creation: 00 Nov 2005
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Handle: RePEc:cor:louvco:2005075

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  1. d’ASPREMONT, Claude & GEVERS, Louis, 2001. "Social welfare functionals and interpersonal comparability," CORE Discussion Papers 2001040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Sen, Amartya K, 1977. "On Weights and Measures: Informational Constraints in Social Welfare Analysis," Econometrica, Econometric Society, vol. 45(7), pages 1539-72, October.
  3. BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2004. "The Possibility of Ordering Infinite Utility Streams," Cahiers de recherche 12-2004, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  4. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
  5. d'ASPREMONT, Claude & GEVERS, Louis, . "Equity and the informational basis of collective choice," CORE Discussion Papers RP -350, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Lauwers, Luc & Van Liedekerke, Luc, 1995. "Ultraproducts and aggregation," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 217-237.
  7. Amrita Dhillon, 1998. "Extended Pareto rules and relative utilitarianism," Social Choice and Welfare, Springer, vol. 15(4), pages 521-542.
  8. Fleurbaey, Marc & Michel, Philippe, 2003. "Intertemporal equity and the extension of the Ramsey criterion," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 777-802, September.
  9. Mongin, P & d'Aspremont, C, 1996. "Utility Theory and Ethics," Papers 9632, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
  10. Hammond, Peter J, 1979. "Equity in Two Person Situations: Some Consequences," Econometrica, Econometric Society, vol. 47(5), pages 1127-35, September.
  11. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer, vol. 24(1), pages 221-230, 07.
  12. Blackorby, Charles & Bossert, Walter & Donaldson, David, 2002. "Utilitarianism and the theory of justice," 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 11, pages 543-596 Elsevier.
  13. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
  14. Gerard Debreu, 1959. "Topological Methods in Cardinal Utility Theory," Cowles Foundation Discussion Papers 76, Cowles Foundation for Research in Economics, Yale University.
  15. WEYMARK, John A., . "Generalized Gini inequality indices," CORE Discussion Papers RP -453, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  16. Basu, Kaushik & Mitra, Tapan, 2003. "Aggregating Infinite Utility Streams with Inter-generational Equity: The Impossibility of Being Paretian," Working Papers 03-03, Cornell University, Center for Analytic Economics.
  17. Gevers, Louis, 1979. "On Interpersonal Comparability and Social Welfare Orderings," Econometrica, Econometric Society, vol. 47(1), pages 75-89, January.
  18. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
  19. Basu, Kaushik & Mitra, Tapan, 2003. "Utilitarianism for Infinite Utility Streams: A New Welfare Criterion and Its Axiomatic Characterization," Working Papers 03-05, Cornell University, Center for Analytic Economics.
  20. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
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Citations

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Cited by:
  1. Geir B. Asheim & Kuntal Banerjee, 2010. "Fixed-step anonymous overtaking and catching-up," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(1), pages 149-165.
  2. Geir B. Asheim & Claude d’Aspremont & Kuntal Banerjee, 2008. "Generalized time-invariant overtaking," Working Papers 08004, Department of Economics, College of Business, Florida Atlantic University.
  3. Mertens, Jean-François & Rubinchik, Anna, 2008. "Intergenerational equity and the discount rate for cost-benefit analysis," CORE Discussion Papers 2008077, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Alcantud, José Carlos R. & García-Sanz, María D., 2009. "A comment on "Intergenerational equity: sup, inf, lim sup, and lim inf"," MPRA Paper 14763, University Library of Munich, Germany.

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