On the Concept of Solving a Fuzzy Cooperative Game with Side Payments

Author(s):  
V.B. Vilkov ◽  
A.I. Dergachev ◽  
A.K. Chernykh ◽  
M.S. Abu-Khasan
2008 ◽  
Vol 2 (3) ◽  
Author(s):  
Zuofeng Gao ◽  
Yongbo Yu ◽  
Hongxin Bai ◽  
Chunyan Han

2020 ◽  
Vol 12 (2) ◽  
pp. 20-35
Author(s):  
Валерий Александрович Васильев ◽  
Valery Vasil'ev

In the paper, we consider conditions providing coincidence of the cores and superdifferentials of fuzzy cooperative games with side payments. It turned out that one of the most simple sufficient conditions consists of weak homogeneity. Moreover, by applying so-called S*-representation of a fuzzy game introduced by the author, we show that for any vwith nonempty core C(v) there exists some game u such that C(v) coincides with the superdifferential of u. By applying subdifferential calculus we describe a structure of the core forboth classic fuzzy extensions of the ordinary cooperative game (e.g., Aubin and Owen extensions) and for some new continuations, like Harsanyi extensions and generalized Airport game.


Water ◽  
2018 ◽  
Vol 10 (5) ◽  
pp. 662 ◽  
Author(s):  
Xiaoyu Huang ◽  
Xiaohong Chen ◽  
Ping Huang

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