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Rawlsian equity and generalised utilitarianism with an infinite population (*)

Author

Listed:
  • Luc Lauwers

    (Monitoraat ETEW, K. U. Leuven, Dekenstraat 2, B-3000 Leuven, BELGIUM)

Abstract

This note provides axiomatizations of the discounting utilitarian rule and the Rawlsian infimum rule for an infinite setting. Contrary to the finite case, an objective function cannot at the same time satisfy anonymity and the strong Pareto principle. The Rawlsian rule is based on anonymity, and the discounting rule on the strong Pareto axiom. Furthermore, the infimum rule is compatible with an infinite version of ordinal level comparability, and the discounting rule with cardinal unit comparability.

Suggested Citation

  • Luc Lauwers, 1996. "Rawlsian equity and generalised utilitarianism with an infinite population (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 143-150.
    • Handle: RePEc:spr:joecth:v:9:y:1996:i:1:p:143-150
    Note: Received: November 5, 1993; re-revised version July 31, 1995
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    Citations

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    Cited by:

    1. Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2016. "Sustainable Recursive Social Welfare Functions," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 165-190, Springer.
    2. Christopher Chambers, 2009. "Intergenerational equity: sup, inf, lim sup, and lim inf," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 243-252, February.
    3. José Carlos R. Alcantud & María D. García-Sanz, 2013. "Evaluations of Infinite Utility Streams: Pareto Efficient and Egalitarian Axiomatics," Metroeconomica, Wiley Blackwell, vol. 64(3), pages 432-447, July.
    4. Uuganbaatar Ninjbat, 2012. "An Axiomatization of the Leontief Preferences," Finnish Economic Papers, Finnish Economic Association, vol. 25(1), pages 20-27, Spring.
    5. 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, March.
    6. Michele Lombardi & Kaname Miyagishima & Roberto Veneziani, 2016. "Liberal Egalitarianism and the Harm Principle," Economic Journal, Royal Economic Society, vol. 126(597), pages 2173-2196, November.
    7. Basu, Kaushik & Mitra, Tapan, 2007. "Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 350-373, March.
    8. Susumu Cato, 2009. "Characterizing the Nash social welfare relation for infinite utility streams: a note," Economics Bulletin, AccessEcon, vol. 29(3), pages 2372-2379.
    9. repec:ebl:ecbull:v:4:y:2003:i:26:p:1-5 is not listed on IDEAS
    10. Toyotaka Sakai, 2003. "Intergenerational preferences and sensitivity to the present," Economics Bulletin, AccessEcon, vol. 4(26), pages 1-5.
    11. Basu, Kaushik & Mitra, Tapan, 2005. "On the Existence of Paretian Social Welfare Relations for Infinite Utility Streams with Extended Anonymity," Working Papers 05-06, Cornell University, Center for Analytic Economics.
    12. 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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