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On the Existence of Paretian Social Welfare Quasi-Orderings for Infinite Utility Streams with Extended Anonymity

In: Intergenerational Equity and Sustainability

Author

Listed:
  • Tapan Mitra
  • Kaushik Basu

Abstract

In ranking social states, which are specified by infinite utility streams, it is customary to use a social welfare quasi-ordering (SWQ), a reflexive and transitive binary relation on the social states, satisfying two widely accepted guiding principles. The equal treatment of all generations, proposed by Ramsey (1928), is formalized in the Finite Anonymity Axiom. The positive sensitivity of the social preference structure to the well-being of each generation is reflected in the Pareto Axiom.

Suggested Citation

  • Tapan Mitra & Kaushik Basu, 2007. "On the Existence of Paretian Social Welfare Quasi-Orderings for Infinite Utility Streams with Extended Anonymity," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 6, pages 85-99, Palgrave Macmillan.
    • Handle: RePEc:pal:intecp:978-0-230-23676-9_6
    DOI: 10.1057/9780230236769_6
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    Citations

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    Cited by:

    1. Mohamed Ben Ridha Mabrouk, 2011. "Translation invariance when utility streams are infinite and unbounded," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(4), pages 317-329, December.
    2. Asheim, Geir B. & Kamaga, Kohei & Zuber, Stéphane, 2022. "Maximal sensitivity under Strong Anonymity," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    3. Adachi, Tsuyoshi & Cato, Susumu & Kamaga, Kohei, 2014. "Extended anonymity and Paretian relations on infinite utility streams," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 24-32.
    4. Mabrouk, Mohamed, 2009. "On the extension of a preorder under translation invariance," MPRA Paper 15407, University Library of Munich, Germany.
    5. Kohei Kamaga & Takashi Kojima, 2009. "$${\mathcal{Q}}$$ -anonymous social welfare relations on infinite utility streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 405-413, September.
    6. Alcantud, José Carlos R., 2013. "Fuzzy sets from the ethics of social preferences," MPRA Paper 53549, University Library of Munich, Germany.
    7. Jonsson, Adam & Voorneveld, Mark, 2018. "The limit of discounted utilitarianism," Theoretical Economics, Econometric Society, vol. 13(1), January.
    8. Kohei Kamaga & Takashi Kojima, 2010. "On the leximin and utilitarian overtaking criteria with extended anonymity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 377-392, September.
    9. Sakamoto, Norihito & 坂本, 徳仁, 2011. "Impossibilities of Paretian Social Welfare Functions for Infinite Utility Streams with Distributive Equity," Discussion Papers 2011-09, Graduate School of Economics, Hitotsubashi University.

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