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Fixed-step anonymous overtaking and catching-up

Author

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  • Geir B. Asheim

    (Department of Economics, University of Oslo, Norway)

  • Kuntal Banerjee

    (Department of Economics, College of Business, Florida Atlantic University)

Abstract

We investigate criteria for evaluating infinite utility streams that satisfy Fixed-step anonymity and includes some notion of overtaking or catching-up. We do so in a generalized setting which do 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, 2009. "Fixed-step anonymous overtaking and catching-up," Working Papers 09001, Department of Economics, College of Business, Florida Atlantic University.
    • Handle: RePEc:fal:wpaper:09001
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    References listed on IDEAS

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    2. 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.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    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. 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.
    7. 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.
    8. Jonsson, Adam & Voorneveld, Mark, 2018. "The limit of discounted utilitarianism," Theoretical Economics, Econometric Society, vol. 13(1), January.
    9. 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.
    10. 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.
    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

    Keywords

    Intergenerational justice; Utilitarianism; Leximin;
    All these keywords.

    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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