Journal ArticleDOI
Stability and Shapley value for an n-persons fuzzy game
TLDR
It is proved that the core (defined in the paper) is consistent for any n-persons fuzzy game and that the Shapley values exists and it is unique for any fuzzy game with proportional values.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1980-07-01. It has received 142 citations till now. The article focuses on the topics: Shapley value & Bondareva–Shapley theorem.read more
Citations
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Journal ArticleDOI
A Shapley function on a class of cooperative fuzzy games
TL;DR: A study of the Shapley values for cooperative fuzzy games, games with fuzzy coalitions, which admit the representation of rates of players' participation to each coalition, and introduces and investigates a more natural class of fuzzy games.
Journal ArticleDOI
Linear–Quadratic Uncertain Differential Game With Application to Resource Extraction Problem
Xiangfeng Yang,Jinwu Gao +1 more
TL;DR: A Max-Min theorem is provided in order to guarantee the saddle-point Nash equilibrium, and when the system dynamics is described by a linear uncertain differential equation and the performance index function is quadratic, the existence of saddle- point Nash equilibrium is obtained via the solvability of a corresponding Riccati equation.
Journal ArticleDOI
Optimal Inter-Basin Water Allocation Using Crisp and Fuzzy Shapley Games
TL;DR: A new methodology based on crisp and fuzzy Shapley games is developed for optimal allocation of inter-basin water resources and is examined by applying it to a large scale case study of water transfer from the Karoon river basin in southern Iran to the Rafsanjan plain in central Iran.
Journal ArticleDOI
A simplified expression of the Shapley function for fuzzy game
Shujin Li,Qiang Zhang +1 more
TL;DR: A simplified expression of the Shapley function is proposed, which can be regarded as the generalization of Shapley functions defined in some particular games with fuzzy coalition.
Journal ArticleDOI
Max-min solutions for fuzzy multiobjective matrix games
TL;DR: The formulated mathematical programming problem which yields the max-min strategy can be reduced to the linear programming problem by making use of Sakawa's method, the variable transformations, and the relaxation procedure.
References
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Book
Theory of Games and Economic Behavior
TL;DR: Theory of games and economic behavior as mentioned in this paper is the classic work upon which modern-day game theory is based, and it has been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations.