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On construction of equitable social welfare orders on infinite utility streams

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  • Dubey, Ram Sewak
  • Mitra, Tapan

Abstract

This paper studies the nature of social welfare orders on infinite utility streams, satisfying the consequentialist equity principles known as Hammond Equity and the Pigou–Dalton transfer principle. The first result shows that every social welfare order satisfying Hammond Equity and the Strong Pareto axioms is non-constructive in nature for all non-trivial domains, Y. The second result shows that, when the domain set is Y=[0,1], every social welfare order satisfying the Pigou–Dalton transfer principle is non-constructive in nature. Specifically, in both results, we show that the existence of the appropriate social welfare order entails the existence of a non-Ramsey set, a non-constructive object. The second result also provides an example of a social welfare order which can be represented, but which cannot be constructed.

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  • Dubey, Ram Sewak & Mitra, Tapan, 2014. "On construction of equitable social welfare orders on infinite utility streams," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 53-60.
  • Handle: RePEc:eee:matsoc:v:71:y:2014:i:c:p:53-60
    DOI: 10.1016/j.mathsocsci.2014.04.003
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    Cited by:

    1. Dubey, Ram Sewak & Laguzzi, Giorgio & Ruscitti, Francesco, 2021. "On social welfare orders satisfying anonymity and asymptotic density-one Pareto," Mathematical Social Sciences, Elsevier, vol. 111(C), pages 26-33.
    2. Dubey, Ram Sewak & Laguzzi, Giorgio & Ruscitti, Francesco, 2020. "On the representation and construction of equitable social welfare orders," Mathematical Social Sciences, Elsevier, vol. 107(C), pages 17-22.
    3. Adachi, Tsuyoshi & Cato, Susumu & Kamaga, Kohei, 2014. "Extended anonymity and Paretian relations on infinite utility streams," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 24-32.
    4. Dubey, Ram Sewak, 2016. "On construction of social welfare orders satisfying Hammond equity and Weak Pareto axioms," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 119-124.

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