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

B-Tier
Journal: Journal of Mathematical Economics
Year: 2010
Volume: 46
Issue: 1
Pages: 32-37

Score contribution per author:

2.011 = (α=2.01 / 1 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

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.

Technical Details

RePEc Handle
repec:eee:mateco:v:46:y:2010:i:1:p:32-37
Journal Field
Theory
Author Count
1
Added to Database
2026-01-25