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A complete and strongly anonymous leximin relation on infinite streams

Author

Listed:
  • Geir B. Asheim

    (Department of Economics [Oslo] - Faculty of Social Sciences [Oslo] - UiO - University of Oslo)

  • Stéphane Zuber

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

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, 2013. "A complete and strongly anonymous leximin relation on infinite streams," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00979780, HAL.
    • Handle: RePEc:hal:cesptp:hal-00979780
    DOI: 10.1007/s00355-012-0705-z
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. Pivato, Marcus & Fleurbaey, Marc, 2024. "Intergenerational equity and infinite-population ethics: A survey," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    5. Asheim, Geir B. & Kamaga, Kohei & Zuber, Stéphane, 2022. "Maximal sensitivity under Strong Anonymity," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    6. 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.
    7. Martinet, Vincent & Del Campo, Stellio & Cairns, Robert D., 2022. "Intragenerational inequality aversion and intergenerational equity," European Economic Review, Elsevier, vol. 144(C).
    8. 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.
    9. 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).
    10. José Alcantud, 2013. "Liberal approaches to ranking infinite utility streams: when can we avoid interference?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(2), pages 381-396, July.
    11. 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.
    12. Geir B. Asheim & Kohei Kamaga & Stéphane Zuber, 2025. "Exploring infinite population utilitarianism under strong anonymity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 80(1), pages 39-85, August.
    13. Marcus Pivato, 2023. "Cesàro average utilitarianism in relativistic spacetime," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(4), pages 733-761, November.

    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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