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On the Existence of Paretian Social Welfare Relations for Infinite Utility Streams with Extended Anonymity

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Author Info
Basu, Kaushik (Cornell U)
Mitra, Tapan (Cornell U)

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Abstract

In this paper, we examine the restrictions that any concept of extended anonymity must satisfy in order to be compatible with the existence of a Paretian social welfare relation (SWR). We completely characterize the class of permissible permutations associated with any Paretian SWR; that is, those permutations with respect to which every utility stream is pronounced to be indifferent to the corresponding permuted utility stream, according to the Paretian SWR. Based on the characterization result, we propose a particular class of extensions of anonymity, which allows comparisons of utility streams that are related to each other by an infinite number of permutations of a specific type. The merits of this particular class of extensions are discussed.

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Paper provided by Cornell University, Center for Analytic Economics in its series Working Papers with number 05-06.

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Date of creation: May 2005
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Handle: RePEc:ecl:corcae:05-06

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Find related papers by JEL classification:
D60 - Microeconomics - - Welfare Economics - - - General
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
D90 - Microeconomics - - Intertemporal Choice and Growth - - - General

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  1. Lauwers, Luc, 1995. "Time-neutrality and linearity," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 347-351. [Downloadable!] (restricted)
  2. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July. [Downloadable!] (restricted)
  3. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer, vol. 24(1), pages 221-230, 07. [Downloadable!] (restricted)
  4. Luc Lauwers, 1996. "Rawlsian equity and generalised utilitarianism with an infinite population (*)," Economic Theory, Springer, vol. 9(1), pages 143-150.
  5. Asheim,G.B. & Buchholz,W. & Tungodden,B., 1999. "Justifying sustainability," Memorandum 08/1999, Oslo University, Department of Economics. [Downloadable!]
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  6. Kaushik Basu & Tapan Mitra, 2003. "Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian," Econometrica, Econometric Society, vol. 71(5), pages 1557-1563, 09. [Downloadable!] (restricted)
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  7. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January. [Downloadable!] (restricted)
  8. M. Fleurbaey & P. Michel, 1997. "Intertemporal equity and the extension of the Ramsey criterion," THEMA Working Papers 97-11, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Mabrouk, Mohamed, 2006. "Allais-anonymity as an alternative to the discounted-sum criterion in the calculus of optimal growth I: Consensual optimality," MPRA Paper 10512, University Library of Munich, Germany. [Downloadable!]
  2. Juan A. Crespo & Carmelo Núñez & Juan Pablo Rincón-Zapatero, 2007. "On the impossibility of representing infinite utility streams," Economics Working Papers we075530, Universidad Carlos III, Departamento de Economía. [Downloadable!]
    Other versions:
  3. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth II: Pareto optimality and some economic interpretations," GE, Growth, Math methods 0511007, EconWPA. [Downloadable!]
  4. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth I: Consensual optimality," GE, Growth, Math methods 0510013, EconWPA. [Downloadable!]
  5. Kuntal Banerjee, 2006. "On the Extension of the Utilitarian and Suppes–Sen Social Welfare Relations to Infinite Utility Streams," Social Choice and Welfare, Springer, vol. 27(2), pages 327-339, October. [Downloadable!] (restricted)
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