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

Luc Lauwers

Journal of Mathematical Economics, 2010, vol. 46, issue 1, 32-37

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 non-constructive 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 [Svensson, L.G., 1980. Equity among generations. Econometrica 48, 1251-1256] and of Bossert et al. [Bossert, W., Sprumont, Y., Suzumura, K., 2007. Ordering infinite utility streams. Journal of Economic Theory 135 (1), 579-589] do require The Axiom of Choice.

Keywords: Intergenerational; justice; Pareto; Multi-period; social; choice; Axiom; of; choice; Constructivism (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (57)

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Working Paper: Ordering infinite utility streams comes at the cost of a non-Ramsey set (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:46:y:2010:i:1:p:32-37

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