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A Note On Social Welfare Orders Satisfying Pigou-Dalton Transfer Principle

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  • DUBEY, RAM SEWAK

Abstract

This paper studies the constructive nature of social welfare orders on infinite utility streams defined on X=Yⁿ, satisfying the Pigou-Dalton transfer principle (PD), which are known to be representable (see Alcantud (2010) and Sakamoto (2012)). We describe the restrictions on domain Y for explicit representation or construction of the social welfare orders satisfying (i) PD and monotonicity; or (ii) PD only. We show that the restrictions on Y for either (a) construction; or (b) explicit representation of the social welfare orders are identical in both cases.

Suggested Citation

  • 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.
    • Handle: RePEc:hit:hitjec:v:57:y:2016:i:2:p:243-262
    DOI: 10.15057/28218
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    References listed on IDEAS

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    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. 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. Fleurbaey, Marc & Michel, Philippe, 2003. "Intertemporal equity and the extension of the Ramsey criterion," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 777-802, September.
    4. 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.
    5. Chiaki Hara & Tomoichi Shinotsuka & Kotaro Suzumura & Yongsheng Xu, 2008. "Continuity and egalitarianism in the evaluation of infinite utility streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 179-191, August.
    6. Lauwers, Luc, 2010. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 32-37, January.
    7. 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.
    8. Dubey, Ram Sewak, 2011. "Fleurbaey–Michel conjecture on equitable weak Paretian social welfare order," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 434-439.
    9. Banerjee, Kuntal & Dubey, Ram Sewak, 2014. "Do all constructive strongly monotone inter-temporal orders exhibit impatience?," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 66-69.
    10. 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.
    11. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
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    Cited by:

    1. 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.
    2. 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

    construction; correspondence principle; non-Ramsey set; Pigou-Dalton transfer principle; representation; social welfare orders;
    All these keywords.

    JEL classification:

    • D60 - Microeconomics - - Welfare Economics - - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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