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Extended anonymity and Paretian relations on infinite utility streams

Tsuyoshi Adachi, Sususmu Cato () and Kohei Kamaga ()

Mathematical Social Sciences, 2014, vol. 72, issue C, 24-32

Abstract: We examine the range of anonymity that is compatible with a Paretian social welfare relation (SWR) on infinite utility streams. Three alternative coherence properties of an SWR are considered, namely, acyclicity, quasi-transitivity, and Suzumura consistency. For each case, we show that a necessary and sufficient condition for a set of permutations to be the set of permissible permutations of some Paretian SWR is given by the cyclicity of permutations and a weakening of group structure. Further, for each case of coherence property, we show that the extended Pareto rule is the least element of the class of anonymous Paretian SWRs.

Date: 2014
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