A union self-evaluation approach to associated consistency for cooperative games. (English) Zbl 1530.91040
Summary: G. Xu et al. [Linear Algebra Appl. 430, No. 11–12, 2896–2897 (2009; Zbl 1163.91010)] 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.
MSC:
| 91A12 | Cooperative games |
Citations:
Zbl 1163.91010References:
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