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Title: An existence result on partitioning of a measurable space: Pareto optimality and core (English)
Author: Sagara, Nobusumi
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 42
Issue: 4
Year: 2006
Pages: 475-481
Summary lang: English
Category: math
Summary: This paper investigates the problem of optimal partitioning of a measurable space among a finite number of individuals. We demonstrate the sufficient conditions for the existence of weakly Pareto optimal partitions and for the equivalence between weak Pareto optimality and Pareto optimality. We demonstrate that every weakly Pareto optimal partition is a solution to the problem of maximizing a weighted sum of individual utilities. We also provide sufficient conditions for the existence of core partitions with non- transferable and transferable utility. (English)
Keyword: optimal partitioning
Keyword: nonatomic finite measure
Keyword: nonadditive set function
Keyword: Pareto optimality
Keyword: core
MSC: 28A10
MSC: 28B05
MSC: 90C29
MSC: 91B32
idZBL: Zbl 1249.90241
idMR: MR2275349
Date available: 2009-09-24T20:17:55Z
Last updated: 2015-03-29
Stable URL:
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