Nash equilibrium of fuzzy two-person zero-sum game with multi-goals based on the choquet integral

Jin Hui Pang; Qiang Zhang

Nash equilibrium of fuzzy two-person zero-sum game with multi-goals based on the choquet integral

Jin Hui Pang^*
, Qiang Zhang

^*Corresponding author for this work

School of Computer Science and Technology

Beijing Institute of Technology

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

1 Citation (Scopus)

Abstract

The Nash equilibrium of fuzzy two-person zero-sum game is investigated by the Choquet integral. g_λ-measure is introduced to describe the importance of any goals subset. A kind of aggregated game matrix of the fuzzy two-person zero-sum game with multi-goals was constructed based on the Choquet integral with respect to the g_λ-measure. It certifies the conclusion that the Nash equilibrium of the aggregated game matrix was also that of each fuzzy two-person zero-sum game with a single goal.

Original language	English
Pages (from-to)	1125-1128
Number of pages	4
Journal	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume	28
Issue number	12
Publication status	Published - Dec 2008

Keywords

Choquet integral
Fuzzy two-person zero-sum game
Nash equilibrium
g-measure

Cite this

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title = "Nash equilibrium of fuzzy two-person zero-sum game with multi-goals based on the choquet integral",

abstract = "The Nash equilibrium of fuzzy two-person zero-sum game is investigated by the Choquet integral. gλ-measure is introduced to describe the importance of any goals subset. A kind of aggregated game matrix of the fuzzy two-person zero-sum game with multi-goals was constructed based on the Choquet integral with respect to the gλ-measure. It certifies the conclusion that the Nash equilibrium of the aggregated game matrix was also that of each fuzzy two-person zero-sum game with a single goal.",

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author = "Pang, \{Jin Hui\} and Qiang Zhang",

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AU - Zhang, Qiang

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N2 - The Nash equilibrium of fuzzy two-person zero-sum game is investigated by the Choquet integral. gλ-measure is introduced to describe the importance of any goals subset. A kind of aggregated game matrix of the fuzzy two-person zero-sum game with multi-goals was constructed based on the Choquet integral with respect to the gλ-measure. It certifies the conclusion that the Nash equilibrium of the aggregated game matrix was also that of each fuzzy two-person zero-sum game with a single goal.

AB - The Nash equilibrium of fuzzy two-person zero-sum game is investigated by the Choquet integral. gλ-measure is introduced to describe the importance of any goals subset. A kind of aggregated game matrix of the fuzzy two-person zero-sum game with multi-goals was constructed based on the Choquet integral with respect to the gλ-measure. It certifies the conclusion that the Nash equilibrium of the aggregated game matrix was also that of each fuzzy two-person zero-sum game with a single goal.

KW - Choquet integral

KW - Fuzzy two-person zero-sum game

KW - Nash equilibrium

KW - g-measure

UR - https://www.scopus.com/pages/publications/58249092662

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JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

IS - 12

ER -

Nash equilibrium of fuzzy two-person zero-sum game with multi-goals based on the choquet integral

Abstract

Keywords

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