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Paretian evaluation of infinite utility streams: An egalitarian criterion


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


We prove that Partial Pareto social welfare functions that verify Restricted Non-Substitution and Anonymity exist, and that there are explicit expressions of Strongly Paretian social welfare functions with Restricted Non-Substitution, when each generation's utilities lie in  [union or logical sum] {0}.

Suggested Citation

  • Alcantud, José C.R. & García-Sanz, María D., 2010. "Paretian evaluation of infinite utility streams: An egalitarian criterion," Economics Letters, Elsevier, vol. 106(3), pages 209-211, March.
  • Handle: RePEc:eee:ecolet:v:106:y:2010:i:3:p:209-211

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    References listed on IDEAS

    1. 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.
    2. Banerjee, Kuntal, 2006. "On the equity-efficiency trade off in aggregating infinite utility streams," Economics Letters, Elsevier, vol. 93(1), pages 63-67, October.
    3. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
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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. Alcantud, José Carlos R., 2013. "Fuzzy sets from the ethics of social preferences," MPRA Paper 53549, University Library of Munich, Germany.
    3. Geir Asheim & Tapan Mitra & Bertil Tungodden, 2012. "Sustainable recursive social welfare functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(2), pages 267-292, February.
    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., 2010. "The compromise efficiency vs. egalitarianism among generations with an infinite horizon," MPRA Paper 22284, University Library of Munich, Germany.

    More about this item


    Social welfare function Equity Pareto axiom Intergenerational utility;

    JEL classification:

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


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