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

Luc Lauwers

Working Papers of Department of Economics, Leuven from KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven

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.

Keywords: Intergenerational justice; Pareto; Multi-period social choice; Axiom of choice; Constructivism. (search for similar items in EconPapers)
JEL-codes: D60 D70 D90 (search for similar items in EconPapers)
Date: 2009-02
New Economics Papers: this item is included in nep-cdm and nep-upt
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Citations: View citations in EconPapers (7)

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Journal Article: Ordering infinite utility streams comes at the cost of a non-Ramsey set (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:ete:ceswps:ces09.05

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