Extended anonymity and Paretian relations on infinite utility streams

Tsuyoshi Adachi; Susumu Cato; Kohei Kamaga

doi:10.1016/j.mathsocsci.2014.10.002

Extended anonymity and Paretian relations on infinite utility streams

Tsuyoshi Adachi, Susumu Cato, Kohei Kamaga^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	24-32
Number of pages	9
Journal	Mathematical social sciences
Volume	72
DOIs	https://doi.org/10.1016/j.mathsocsci.2014.10.002
Publication status	Published - 2014 Nov 1
Externally published	Yes

ASJC Scopus subject areas

Sociology and Political Science
Social Sciences(all)
Psychology(all)
Statistics, Probability and Uncertainty

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title = "Extended anonymity and Paretian relations on infinite utility streams",

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.",

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AU - Adachi, Tsuyoshi

AU - Cato, Susumu

AU - Kamaga, Kohei

PY - 2014/11/1

Y1 - 2014/11/1

N2 - 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.

AB - 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.

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JO - Mathematical social sciences

JF - Mathematical social sciences

ER -

Extended anonymity and Paretian relations on infinite utility streams

Abstract

ASJC Scopus subject areas

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