K.U.Leuven, Faculty of Economics and Applied Economics : Department of Economics
CES - Discussion paper series (DPS) 09.05 pages:1-11
The existence of a Paretian and finitely anonymous ordering in the set of infnite 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.