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Combining monotonicity and strong equity: construction and representation of orders on infinite utility streams

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  • Ram Dubey
  • Tapan Mitra

Abstract

This paper studies the nature of social welfare orders (SWO) on infinite utility streams, satisfying the efficiency principle known as monotonicity and the consequentialist equity principle known as strong equity. It provides a complete characterization of domain sets for which there exists such a SWO which is in addition representable by a real valued function. It then shows that for those domain sets for which there is no such SWO which is representable, the existence of such a SWO necessarily entails the existence of a non-Ramsey set, a non-constructive object. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:43:y:2014:i:3:p:591-602
    DOI: 10.1007/s00355-014-0799-6
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    References listed on IDEAS

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    1. John Roemer & Kotaro Suzumura (ed.), 2007. "Intergenerational Equity and Sustainability," International Economic Association Series, Palgrave Macmillan, number 978-0-230-23676-9, December.
    2. 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.
    3. 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.
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    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
    10. Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2007. "A New Equity Condition for Infinite Utility Streams and the Possibility of being Paretian," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 4, pages 55-68, Palgrave Macmillan.
    11. 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.
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    13. 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.
    14. Banerjee, Kuntal, 2006. "On the equity-efficiency trade off in aggregating infinite utility streams," Economics Letters, Elsevier, vol. 93(1), pages 63-67, October.
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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, 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. 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.
    4. 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.
    5. Dubey, Ram Sewak & Laguzzi, Giorgio, 2021. "Equitable preference relations on infinite utility streams," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    6. 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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    More about this item

    Keywords

    Social welfare orders; Monotonicity; Strong Equity; Representation; Construction ; Non-Ramsey set; D60; D70; D90;
    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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