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Impossibilities Of Paretian Social Welfare Functions For Infinite Utility Streams With Distributive Equity

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  • SAKAMOTO, NORIHITO
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    Abstract

    This paper examines the existence of social welfare functions satisfying some reasonable axioms of distributive equity and Pareto efficiency in aggregating infinite utility streams. Our main results show that there exist social welfare functions that satisfy both the Pigou-Dalton transfer principle and weak dominance.a weak version of the Pareto principle., but there exists no social welfare function that satisfies any of our distributive equity axioms and weak Pareto principle simultaneously. Thus, we prove that no Paretian ranking can satisfy numerical representability and any of distributive equity axioms in the setting of intertemporal social choice.

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    File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/25385/1/HJeco0530212100.pdf
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    Bibliographic Info

    Article provided by Hitotsubashi University in its journal Hitotsubashi Journal of Economics.

    Volume (Year): 53 (2012)
    Issue (Month): 2 (December)
    Pages: 121-130

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    Handle: RePEc:hit:hitjec:v:53:y:2012:i:2:p:121-130

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    Keywords: intergenerational equity; distributional equity;

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    1. 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, 07.
    2. 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.
    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.
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