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Fixed‐step anonymous overtaking and catching‐up

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  • Geir B. Asheim
  • Kuntal Banerjee

Abstract

We investigate criteria for evaluating infinite utility streams that satisfy fixed‐step anonymity and include some notion of overtaking or catching‐up. We do so in a generalized setting that does not require us to specify the underlying finite‐dimensional criterion (e.g. utilitarianism or leximin). We present axiomatizations that rely on weaker axioms than those in the literature, and which in one case is new. We also provide a complete analysis of the relationships between the symmetric parts of these criteria and likewise for the asymmetric parts.

Suggested Citation

  • Geir B. Asheim & Kuntal Banerjee, 2010. "Fixed‐step anonymous overtaking and catching‐up," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(1), pages 149-165, March.
  • Handle: RePEc:bla:ijethy:v:6:y:2010:i:1:p:149-165
    DOI: 10.1111/j.1742-7363.2009.00127.x
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    2. Asheim, Geir B. & d'Aspremont, Claude & Banerjee, Kuntal, 2010. "Generalized time-invariant overtaking," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 519-533, July.
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    14. 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.
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    Cited by:

    1. Jonsson, Adam & Voorneveld, Mark, 2018. "The limit of discounted utilitarianism," Theoretical Economics, Econometric Society, vol. 13(1), January.
    2. Michele Lombardi & Kaname Miyagishima & Roberto Veneziani, 2016. "Liberal Egalitarianism and the Harm Principle," Economic Journal, Royal Economic Society, vol. 126(597), pages 2173-2196, November.
    3. Sakai, Toyotaka, 2010. "A characterization and an impossibility of finite length anonymity for infinite generations," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 877-883, September.
    4. Geir Asheim & Stéphane Zuber, 2013. "A complete and strongly anonymous leximin relation on infinite streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 819-834, October.
    5. Marco Mariotti & Roberto Veneziani, 2018. "Opportunities as Chances: Maximising the Probability that Everybody Succeeds," Economic Journal, Royal Economic Society, vol. 128(611), pages 1609-1633, June.
    6. Alcantud, José Carlos R. & García-Sanz, María D., 2009. "A comment on "Intergenerational equity: sup, inf, lim sup, and lim inf"," MPRA Paper 14763, University Library of Munich, Germany.
    7. Luc Lauwers, 2016. "Intergenerational Equity, Efficiency, and Constructibility," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 191-206, Springer.
    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. 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.
    10. Geir B. Asheim, 2014. "Equitable intergenerational preferences and sustainability," Chapters, in: Giles Atkinson & Simon Dietz & Eric Neumayer & Matthew Agarwala (ed.), Handbook of Sustainable Development, chapter 8, pages 125-139, Edward Elgar Publishing.
    11. Kohei Kamaga, 2016. "Infinite-horizon social evaluation with variable population size," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(1), pages 207-232, June.

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    More about this item

    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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