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Paretian evaluation of infinite utility streams: an egalitarian criterion

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

Abstract

This paper contributes to qualifying the Basu-Mitra approach to the problem of intergenerational social choice, by analyzing the impact of the structure of the feasible set of utilities on Banerjee's (2006) impossibility theorem. We prove that if the utilities that each generation can possess lie in $\NN \cup \{0\} $, then an explicit expression for a Paretian social welfare function that accounts for a strengthened form of Hammond Equity for the Future can be given.

Suggested Citation

  • Alcantud, José Carlos R. & García-Sanz, María D., 2007. "Paretian evaluation of infinite utility streams: an egalitarian criterion," MPRA Paper 6324, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:6324
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    References listed on IDEAS

    as
    1. Kaushik Basu & Tapan Mitra, 2007. "Possibility Theorems for Equitably Aggregating Infinite Utility Streams," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 5, pages 69-84, Palgrave Macmillan.
    2. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
    3. 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, September.
    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. Banerjee, Kuntal, 2006. "On the equity-efficiency trade off in aggregating infinite utility streams," Economics Letters, Elsevier, vol. 93(1), pages 63-67, October.
    6. John Roemer & Kotaro Suzumura (ed.), 2007. "Intergenerational Equity and Sustainability," International Economic Association Series, Palgrave Macmillan, number 978-0-230-23676-9, December.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Alcantud, José Carlos R., 2012. "Inequality averse criteria for evaluating infinite utility streams: The impossibility of Weak Pareto," Journal of Economic Theory, Elsevier, vol. 147(1), pages 353-363.
    2. 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.
    3. Alcantud, José Carlos R., 2010. "The compromise efficiency vs. egalitarianism among generations with an infinite horizon," MPRA Paper 22284, University Library of Munich, Germany.
    4. 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.
    5. Alcantud, José Carlos R., 2013. "Fuzzy sets from the ethics of social preferences," MPRA Paper 53549, University Library of Munich, Germany.

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    More about this item

    Keywords

    Social welfare function; Equity; Pareto axiom; Intergenerational utility;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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