Article

# Ordering infinite utility streams

Département de Sciences Economiques and CIREQ, Université de Montréal, C.P. 6128, succursale Centre-ville, Montréal QC, Canada H3C 3J7; Département de Sciences Economiques and CIREQ, Université de Montréal, C.P. 6128, succursale Centre-ville, Montréal QC, Canada H3C 3J7; Institute of Economic Research, Hitotsubashi University, Kunitachi, Tokyo 186-8603, Japan

Journal of Economic Theory (Impact Factor: 1.24). 02/2007; DOI: 10.1016/j.jet.2006.03.005 Source: RePEc

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**ABSTRACT:**This note provides an axiomatic analysis of a social welfare ordering over infinite utility streams. We offer two characterizations of an infinite-horizon version of the Nash criterion.Economics Bulletin. 29(3):2372-2379. - [Show abstract] [Hide abstract]

**ABSTRACT:**In ordering infinite utility streams, anonymity and Pareto are con-sidered two basic principles. Anonymity is usually expressed by means of a group of cyclic or Pareto-compatible permutations. Maximal (for inclusion) groups of cyclic permutations involve free ultrafilters on the lattice of partitions of positive integers and are therefore nonconstructible objects. This result is in line with the conjecture of Fleurbaey and Michel (2003) and with the results of Lauwers (2006) and Zame (2007).04/2009; -
##### Article: The impossibility of social evaluations of infinite streams with strict inequality aversion

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**ABSTRACT:**We are concerned with the problem of aggregating infinite utility streams and the possible adoption of consequentialist equity principles when using numerical evaluations of the streams. We find a virtually universal incompatibility between the Basu-Mitra approach (that advocates for social welfare functions and renounces continuity assumptions) and postulates that capture various forms of strict preference for a reduction in inequality like the Strong Equity Principle, the Pigou-Dalton Transfer principle, or Altruistic Equity.Economic Theory Bulletin.

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