CHOQUET EXTENSION OF COOPERATIVE GAMES

Chunqiao Tan (), Zhong-Zhong Jiang () and Xiaohong Chen ()
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Chunqiao Tan: School of Business, Central South University, Changsha 410083, P. R. China
Zhong-Zhong Jiang: School of Business, Central South University, Changsha 410083, P. R. China
Xiaohong Chen: School of Business, Central South University, Changsha 410083, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2013, vol. 30, issue 04, 1-20

Abstract: A multilinear extension of the n-person cooperative game was introduced by Owen in 1972, and a new extension method is proposed in this paper. For n-person cooperative games, any coalition can equivalently be represented by its characteristic vectors. By means of the Choquet integral, a new fuzzy extension, called the Choquet extension, is developed. Furthermore, a Shapley function in this class of fuzzy cooperative games with the Choquet extension form is defined. Axioms of the Shapley function are proposed, and an explicit formula for the Shapley function is given. Finally, an equivalent definition of this Shapley function is discussed.

Keywords: Cooperative game; fuzzy coalition; Shapley function; fuzzy extension; Choquet integral (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S021759591350005X

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