An existence result on partitioning of a measurable space: Pareto optimality and core
Kybernetika (2006)
- Volume: 42, Issue: 4, page 475-481
- ISSN: 0023-5954
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topSagara, Nobusumi. "An existence result on partitioning of a measurable space: Pareto optimality and core." Kybernetika 42.4 (2006): 475-481. <http://eudml.org/doc/33819>.
@article{Sagara2006,
abstract = {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.},
author = {Sagara, Nobusumi},
journal = {Kybernetika},
keywords = {optimal partitioning; nonatomic finite measure; nonadditive set function; Pareto optimality; core; optimal partitioning; nonatomic finite measure; nonadditive set function; Pareto optimality; core},
language = {eng},
number = {4},
pages = {475-481},
publisher = {Institute of Information Theory and Automation AS CR},
title = {An existence result on partitioning of a measurable space: Pareto optimality and core},
url = {http://eudml.org/doc/33819},
volume = {42},
year = {2006},
}
TY - JOUR
AU - Sagara, Nobusumi
TI - An existence result on partitioning of a measurable space: Pareto optimality and core
JO - Kybernetika
PY - 2006
PB - Institute of Information Theory and Automation AS CR
VL - 42
IS - 4
SP - 475
EP - 481
AB - 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.
LA - eng
KW - optimal partitioning; nonatomic finite measure; nonadditive set function; Pareto optimality; core; optimal partitioning; nonatomic finite measure; nonadditive set function; Pareto optimality; core
UR - http://eudml.org/doc/33819
ER -
References
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