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A complete and strongly anonymous leximin relation on infinite streams |
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| Authors: | Geir B. Asheim Stéphane Zuber |
| Affiliation: | 1. Department of Economics, University of Oslo, Oslo, Norway 2. CERSES, Université Paris Descartes and CNRS, Paris, France 3. Chair for Integrative Risk Management and Economics, Center for Economic Research, ETH Zürich, Zurich, Switzerland |
| 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. |
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