An existence result on partitioning of a measurable space: Pareto optimality and core

Title:

An existence result on partitioning of a measurable space: Pareto optimality and core

Creator:

Sagara, Nobusumi

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1257c8c2-8ab3-4354-9303-6c6d3165c085
uuid:1257c8c2-8ab3-4354-9303-6c6d3165c085

Subject:

optimal partitioning, nonatomic finite measure, nonadditive set function, Pareto optimality, and core

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[475]-481

Source:

Kybernetika | 2006 Volume:42 | Number:4

Harvested from:

CDK

Metadata only:

false