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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.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:14763
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    References listed on IDEAS

    as
    1. 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.
    2. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 221-230, July.
    3. 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.
    4. Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2007. "A New Equity Condition for Infinite Utility Streams and the Possibility of being Paretian," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 4, pages 55-68, Palgrave Macmillan.
    5. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
    6. 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.
    7. d’ASPREMONT, Claude, 2005. "Formal welfarism and intergenerational equity," LIDAM Discussion Papers CORE 2005075, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. 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.
    9. Claude d’Aspremont, 2007. "Formal Welfarism and Intergenerational Equity," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 8, pages 113-130, Palgrave Macmillan.
    10. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
    11. John Roemer & Kotaro Suzumura (ed.), 2007. "Intergenerational Equity and Sustainability," International Economic Association Series, Palgrave Macmillan, number 978-0-230-23676-9, December.
    12. 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.
    13. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
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    More about this item

    Keywords

    Social welfare function; Intergenerational equity; Lim sup ; Lim inf;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General

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