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

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  • SAKAMOTO, NORIHITO

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.

Suggested Citation

  • Sakamoto, Norihito, 2012. "Impossibilities Of Paretian Social Welfare Functions For Infinite Utility Streams With Distributive Equity," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 53(2), pages 121-130, December.
    • Handle: RePEc:hit:hitjec:v:53:y:2012:i:2:p:121-130
    DOI: 10.15057/25385
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    References listed on IDEAS

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    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., 2010. "The compromise efficiency vs. egalitarianism among generations with an infinite horizon," MPRA Paper 22284, University Library of Munich, Germany.
    3. 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.
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    Cited by:

    1. José Carlos R. Alcantud, 2013. "The impossibility of social evaluations of infinite streams with strict inequality aversion," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 123-130, November.
    2. Dubey, Ram Sewak, 2016. "A Note On Social Welfare Orders Satisfying Pigou-Dalton Transfer Principle," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 57(2), pages 243-262, December.
    3. Ram Dubey & Tapan Mitra, 2014. "Combining monotonicity and strong equity: construction and representation of orders on infinite utility streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 591-602, October.
    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.
    5. 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.
    6. Ram Sewak Dubey & Tapan Mitra, 2015. "On social welfare functions on infinite utility streams satisfying Hammond Equity and Weak Pareto axioms: a complete characterization," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 169-180, October.
    7. Dubey, Ram Sewak & Laguzzi, Giorgio, 2021. "Equitable preference relations on infinite utility streams," Journal of Mathematical Economics, Elsevier, vol. 97(C).

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    More about this item

    Keywords

    intergenerational equity; distributional equity;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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