A Complete and Strongly Anonymous Leximin Relation on Infinite Streams

20 Pages Posted: 21 Sep 2011

See all articles by Geir B. Asheim

Geir B. Asheim

University of Oslo - Department of Economics; CESifo (Center for Economic Studies and Ifo Institute)

Stephane Zuber

Ecole Normale Superieure (ENS)

Date Written: September 21, 2011

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.

Keywords: intergenerational equity, lexicographic maximin

JEL Classification: D630, D710

Suggested Citation

Asheim, Geir B. and Zuber, Stephane, A Complete and Strongly Anonymous Leximin Relation on Infinite Streams (September 21, 2011). CESifo Working Paper Series No. 3578, Available at SSRN: https://ssrn.com/abstract=1931498 or http://dx.doi.org/10.2139/ssrn.1931498

Geir B. Asheim (Contact Author)

University of Oslo - Department of Economics ( email )

P.O. Box 1095 Blindern
N-0317 Oslo
Norway
+47-2285 5498 (Phone)
+47-2285 5035 (Fax)

CESifo (Center for Economic Studies and Ifo Institute)

Poschinger Str. 5
Munich, DE-81679
Germany

HOME PAGE: http://www.CESifo.de

Stephane Zuber

Ecole Normale Superieure (ENS) ( email )

45, rue d'Ulm
F-75230 Paris Cedex 05
France

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