Fuzzy cores and fuzzy balancedness

G. van Gulick; H.W. Norde

doi:10.1007%2fs00186-012-0417-2#

Fuzzy cores and fuzzy balancedness

G. van Gulick, H.W. Norde

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

5 Citations (Scopus)

Abstract

We study the relation between the fuzzy core and balancedness for fuzzy games. For regular games, this relation has been studied by Bondareva (Problemy Kibernet 10:119–139, 1963) and Shapley (Naval Res Logist Q 14: 453–460, 1967). First, we gain insight in this relation when we analyse situations where the fuzzy game is continuous. Our main result shows that any fuzzy game has a non-empty core if and only if it is balanced. We also consider deposit games to illustrate the use of the main result.

Original language	English
Pages (from-to)	131-146
Journal	Mathematical Methods of Operations Research
Volume	77
Issue number	2
DOIs	https://doi.org/10.1007%2fs00186-012-0417-2#
Publication status	Published - 2013

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title = "Fuzzy cores and fuzzy balancedness",

abstract = "We study the relation between the fuzzy core and balancedness for fuzzy games. For regular games, this relation has been studied by Bondareva (Problemy Kibernet 10:119–139, 1963) and Shapley (Naval Res Logist Q 14: 453–460, 1967). First, we gain insight in this relation when we analyse situations where the fuzzy game is continuous. Our main result shows that any fuzzy game has a non-empty core if and only if it is balanced. We also consider deposit games to illustrate the use of the main result.",

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AB - We study the relation between the fuzzy core and balancedness for fuzzy games. For regular games, this relation has been studied by Bondareva (Problemy Kibernet 10:119–139, 1963) and Shapley (Naval Res Logist Q 14: 453–460, 1967). First, we gain insight in this relation when we analyse situations where the fuzzy game is continuous. Our main result shows that any fuzzy game has a non-empty core if and only if it is balanced. We also consider deposit games to illustrate the use of the main result.

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DO - 10.1007%2fs00186-012-0417-2#

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VL - 77

SP - 131

EP - 146

JO - Mathematical Methods of Operations Research

JF - Mathematical Methods of Operations Research

IS - 2

ER -

Fuzzy cores and fuzzy balancedness

Abstract

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