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Q-anonymous social welfare relations on infinite utility streams

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  • Kamaga, Kohei
  • Kojima, Takashi

Abstract

This paper studies a class of social welfare relations (SWRs) on the set of infinite utility streams. In particular, we examine the SWRs satisfying Q-Anonymity, an impartiality axiom stronger than Finite Anonymity, as well as Strong Pareto and a certain equity axiom. First, we characterize the extension of the generalized Lorenz SWR by combining Q-Anonymity with Strong Pareto and Pigou-Dalton Equity. Second, we replace Pigou-Dalton Equity with Hammond Equity for characterizing the extended leximin SWR. Third, we give an alternative characterization of the extended utilitarian SWR by substituting Incremental Equity for Pigou-Dalton Equity.

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File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/15921/1/pie_dp391.pdf
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Bibliographic Info

Paper provided by Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University in its series PIE/CIS Discussion Paper with number 391.

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Length: 12 p.
Date of creation: Aug 2008
Date of revision:
Handle: RePEc:hit:piecis:391

Note: First version, September 10, 2007; Current version, August 8, 2008
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Related research

Keywords: Q-Anonymity; Intergenerational equity; Generalized Lorenz criterion; Leximin principle; Utilitarianism; Simplified criterion;

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References

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  1. Asheim, Geir B. & Buchholz, Wolfgang & Tungodden, Bertil, 2001. "Justifying Sustainability," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 252-268, May.
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Cited by:
  1. Geir B. Asheim & Kuntal Banerjee, 2009. "Fixed-step anonymous overtaking and catching-up," Working Papers 09001, Department of Economics, College of Business, Florida Atlantic University.
  2. Asheim, Geir B. & d'Aspremont, Claude & Banerjee, Kuntal, 2008. "Generalized time-invariant overtaking," PIE/CIS Discussion Paper 394, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  3. Sakai, Toyotaka, 2008. "Intergenerational equity and an explicit construction of welfare criteria," PIE/CIS Discussion Paper 395, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  4. Geir B. Asheim & Stéphane Zuber, 2011. "A Complete and Strongly Anonymous Leximin Relation on Infinite Streams," CESifo Working Paper Series 3578, CESifo Group Munich.
  5. Susumu Cato, 2009. "Characterizing the Nash social welfare relation for infinite utility streams: a note," Economics Bulletin, AccessEcon, vol. 29(3), pages 2372-2379.
  6. Kohei Kamaga & Takashi Kojima, 2010. "On the leximin and utilitarian overtaking criteria with extended anonymity," Social Choice and Welfare, Springer, vol. 35(3), pages 377-392, September.
  7. Alcantud, José Carlos R., 2013. "Fuzzy sets from the ethics of social preferences," MPRA Paper 53549, University Library of Munich, Germany.

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