A Union Self-evaluation Approach to Associated Consistency for Cooperative Games

Wenzhong Li (), Genjiu Xu () and René van den Brink ()
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Wenzhong Li: Northwestern Polytechnical University
Genjiu Xu: Northwestern Polytechnical University
René van den Brink: International Joint Research Center on Operations Research, Optimization and Artificial Intelligence

Journal of Optimization Theory and Applications, 2023, vol. 199, issue 3, No 1, 863-880

Abstract: Abstract Xu et al. (Linear Algebra Appl 430(11):2896–2897, 2009) introduced the notion of associated consistency according to the idea of “individual self-evaluation". In this paper, we introduce a new type of associated consistency according to the idea of “union self-evaluation" instead of “individual self-evaluation". Adopting this type of associated consistency, we provide new axiomatizations of the equal allocation of non-separable contributions (EANSC) value and the center-of-gravity of the imputation set (CIS) value. Moreover, a dynamic process is given based on the type of associated games, which leads to the CIS value and EANSC value, starting from an arbitrary efficient payoff vector.

Keywords: Cooperative game; EANSC value; CIS value; Associated consistency; 91A12 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10957-023-02322-0

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