Cooperative Games Based on Coalition Functions in Biform Games
نویسندگان
چکیده
In this paper, we try to study a class of biform games with the coalition function from cooperation players. For purpose, interpret as cooperative by defining characteristic minimax representation based on and giving core Shapley value solutions. The relations between are investigated in terms additivity convexity, properties associated function, such individual rationalities cores, compared corresponding results. among solutions normal-form game, game discussed several examples.
منابع مشابه
Biform Games
Both noncooperative and cooperative game theory have been applied to business strategy. We propose a hybrid noncooperative-cooperative game model, which we call a biform game. This is designed to formalize the notion of business strategy as making moves to try to shape the competitive environment in a favorable way. (The noncooperative component of a biform game models the strategic moves. The ...
متن کاملBiform Games: Online Appendix
Proof for Example 2.1. In Example 2.1, there are two cooperative games, resulting from the two strategies the supplier can choose. To fix notation for the games, let v : P(N) → R be a characteristic function. Also, given an allocation x ∈ R, and T ⊆ N , write x(T ) = ∑ j∈T x j . Then the Core is the set of allocations satisfying x(T ) ≥ v(T ) for all T ⊆ N , and x(N) = v(N). Note in particular ...
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This paper is mainly to discuss cooperative games on convex geometries with a coalition structure, which can be seen as an extension of cooperative games with a coalition structure. For this kind of games, the cooperation among unions and within each union will be the convex sets, i.e., the feasible subsets of the coalition structure and that of each union belong to a convex geometry, respectiv...
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ژورنال
عنوان ژورنال: Axioms
سال: 2023
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms12030296