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A Complete and Strongly Anonymous Leximin Relation on Infinite Streams

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  • Geir B. Asheim
  • Stéphane Zuber

Abstract

Various extensions of the leximin order to the infinite dimensional setting have been suggested. They relax completeness and strong anonymity. Instead, by removing sensitivity to generations at infinite rank this paper defines a complete and strongly anonymous leximin relation on infinite streams. The order is axiomatized, and it is shown to be the limit of extended rank-discounted utilitarianism for any utility function, as the discount factor approaches zero.

Suggested Citation

  • Geir B. Asheim & Stéphane Zuber, 2011. "A Complete and Strongly Anonymous Leximin Relation on Infinite Streams," CESifo Working Paper Series 3578, CESifo.
  • Handle: RePEc:ces:ceswps:_3578
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    References listed on IDEAS

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    2. Fleurbaey, Marc & Michel, Philippe, 2003. "Intertemporal equity and the extension of the Ramsey criterion," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 777-802, September.
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    8. 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.
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    Cited by:

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    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. Ngo Long & Vincent Martinet, 2018. "Combining rights and welfarism: a new approach to intertemporal evaluation of social alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 35-64, January.
    4. Bontems, Philippe & Martinet, Vincent & Rotillon, Gilles & Withagen, Cees, 2015. "Interactions between agricultural economics and environmental and resource economics in European research: Insights from the theory of non-renewable resources," Revue d'Etudes en Agriculture et Environnement, Editions NecPlus, vol. 96(01), pages 167-185, March.
    5. Cairns, Robert D. & Del Campo, Stellio & Martinet, Vincent, 2019. "Sustainability of an economy relying on two reproducible assets," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 145-160.
    6. Martinet, Vincent & Del Campo, Stellio & Cairns, Robert D., 2022. "Intragenerational inequality aversion and intergenerational equity," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics.
    7. 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.
    8. Chichilnisky, Graciela & Hammond, Peter J. & Stern, Nicholas, 2018. "Should We Discount the Welfare of Future Generations? Ramsey and Suppes versus Koopmans and Arrow," CAGE Online Working Paper Series 386, Competitive Advantage in the Global Economy (CAGE).
    9. Ngo Van Long & Vincent Martinet, 2016. "How to Take Rights Seriously: A New Approach to the Intertemporal Evaluation of Social Alternatives," CIRANO Working Papers 2016s-60, CIRANO.

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    More about this item

    Keywords

    intergenerational equity; lexicographic maximin;

    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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