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:**We study a particular collective choice problem, that of allocating chances of success. We argue that many problems of interest have this nature, from small scale problems like medical triage to large scale ones like the allocation of opportunities in society. We consider both finite and infinite societies. We characterise utilitarian-type criteria by means of new properties tailored to the probabilistic structure of the alternatives.Journal of Mathematical Economics 08/2012; 48(4):226–236. · 0.32 Impact Factor -
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**ABSTRACT:**Ranking infinite utility streams includes many impossibility results, most involving certain Pareto, anonymity, or continuity requirements. We introduce the concept of the future agreement extension, a method that explicitly extends orderings on finite time horizons to an infinite time horizon. The future agreement extension of the given orderings is quasi-transitive, complete, and pairwisely continuous. Furthermore, its asymmetric part is larger than that of any other pairwisely continuous extension of the orderings. In case of anonymous and strongly Paretian orderings, their future agreement extension is variable step anonymous and strongly Paretian. Characterizations of the future agreement extensions of the utilitarian and leximin orderings are obtained as applications.Social Choice and Welfare 01/2010; 35(3):393-414. · 0.44 Impact Factor

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