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The uniform distributions puzzle

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  • Luc LAUWERS

Abstract

The existence of a Paretian and finitely anonymous ordering in the set of infinite utility streams implies the existence of a non-Ramsey set (a nonconstructive object whose existence requires the axiom of choice). Therefore, each Paretian and finitely anonymous quasi-ordering either is incomplete or does not have an explicit description. Hence, the possibility results of Svensson (1980) and of Bossert, Sprumont, and Suzumura (2006) do require the axiom of choice.

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Bibliographic Info

Paper provided by Katholieke Universiteit Leuven, Centrum voor Economische Studiën in its series Center for Economic Studies - Discussion papers with number ces09.06.

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Date of creation: Mar 2009
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Handle: RePEc:ete:ceswps:ces09.06

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Keywords: Intergenerational justice; Pareto; Multi-period social choice; Axiom of choice; Constructivism.;

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