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A complete and strongly anonymous leximin relation on infinite streams

  • Geir Asheim

    ()

  • Stéphane Zuber

    ()

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. Copyright Springer-Verlag Berlin Heidelberg 2013

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File URL: http://hdl.handle.net/10.1007/s00355-012-0705-z
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Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 41 (2013)
Issue (Month): 4 (October)
Pages: 819-834

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Handle: RePEc:spr:sochwe:v:41:y:2013:i:4:p:819-834
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  1. Sakai, Toyotaka, 2008. "Intergenerational equity and an explicit construction of welfare criteria," PIE/CIS Discussion Paper 395, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  2. Basu, Kaushik & Mitra, Tapan, 2003. "Aggregating Infinite Utility Streams with Inter-generational Equity: The Impossibility of Being Paretian," Working Papers 03-03, Cornell University, Center for Analytic Economics.
  3. Stéphane Zuber & Geir B. Asheim, 2010. "Justifying Social Discounting: The Rank-Discounted Utilitarian Approach," CESifo Working Paper Series 3192, CESifo Group Munich.
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