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A comment on "Intergenerational equity: sup, inf, lim sup, and lim inf"

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  • Alcantud, José Carlos R.
  • García-Sanz, María D.

Abstract

We reexamine the analysis of Chambers (Social Choice and Welfare, 2009), that produces a characterization of a family of social welfare functions in the context of intergenerational equity: namely, those that coincide with either the sup, inf, lim sup, or lim inf rule. Reinforcement, ordinal covariance, and monotonicity jointly identify such class of rules. We show that the addition of a suitable axiom to this three properties permits to characterize each particular rule. A discussion of the respective distinctive properties is provided.

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File URL: http://mpra.ub.uni-muenchen.de/14763/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 14763.

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Date of creation: 21 Apr 2009
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Handle: RePEc:pra:mprapa:14763

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Keywords: Social welfare function; Intergenerational equity; Lim sup ; Lim inf;

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  1. M. Fleurbaey & P. Michel, 1997. "Intertemporal equity and the extension of the Ramsey criterion," THEMA Working Papers, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise 97-11, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  2. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, Elsevier, vol. 135(1), pages 579-589, July.
  3. Asheim, Geir B. & Tungodden, Bertil, 2005. "A new equity condition for infinite utility streams and the possibility of being Paretian," Memorandum, Oslo University, Department of Economics 08/2005, Oslo University, Department of Economics.
  4. Geir B. Asheim & Kuntal Banerjee, 2009. "Fixed-step anonymous overtaking and catching-up," Working Papers, Department of Economics, College of Business, Florida Atlantic University 09001, Department of Economics, College of Business, Florida Atlantic University.
  5. Basu, Kaushik & Mitra, Tapan, 2003. "Utilitarianism for Infinite Utility Streams: A New Welfare Criterion and Its Axiomatic Characterization," Working Papers, Cornell University, Center for Analytic Economics 03-05, Cornell University, Center for Analytic Economics.
  6. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer, Springer, vol. 24(1), pages 221-230, 07.
  7. Christopher Chambers, 2009. "Intergenerational equity: sup, inf, lim sup, and lim inf," Social Choice and Welfare, Springer, Springer, vol. 32(2), pages 243-252, February.
  8. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, Elsevier, vol. 35(1), pages 37-55, January.
  9. Luc Lauwers, 1996. "Rawlsian equity and generalised utilitarianism with an infinite population (*)," Economic Theory, Springer, Springer, vol. 9(1), pages 143-150.
  10. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University 81, Cowles Foundation for Research in Economics, Yale University.
  11. d’ASPREMONT, Claude, 2005. "Formal welfarism and intergenerational equity," CORE Discussion Papers, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) 2005075, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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