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Ordering infinite utility streams comes at the cost of a non-Ramsey set

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Luc LAUWERS

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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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Paper provided by Katholieke Universiteit Leuven, Centrum voor Economische Studiën in its series Center for Economic Studies - Discussion papers with number ces09.05.

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Date of creation: Feb 2009
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Handle: RePEc:ete:ceswps:ces09.05

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

Find related papers by JEL classification:
D60 - Microeconomics - - Welfare Economics - - - General
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
D90 - Microeconomics - - Intertemporal Choice and Growth - - - General

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  1. Chiaki Hara & Tomoichi Shinotsuka & Kotaro Suzumura & Yongsheng Xu, 2008. "Continuity and egalitarianism in the evaluation of infinite utility streams," Social Choice and Welfare, Springer, vol. 31(2), pages 179-191, August. [Downloadable!] (restricted)
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This page was last updated on 2009-11-26.

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