This article describes the basic elements of the cooperative approach to game theory, one of the two counterparts of … the discipline. After the presentation of some basic definitions, the focus will be on the core and the Shapley value, two … of the most central solution concepts in cooperative game theory. …

: (a) equivalence of the core and the set of competitive outcomes; (b) the Shapley value is contained in the core or … approximate cores; (c) the equal treatment property holds -- that is, both market equilibrium and the core treat similar players …

: (a) equivalence of the core and the set of competitive outcomes; (b) the Shapley value is contained in the core or … approximate cores; (c) the equal treatment property holds -- that is, both market equilibrium and the core treat similar players …

externality). A cooperative game theory model is applied. The model empirically shows how the uncontrolled extractions in each sub …

study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods …Lloyd Shapley is considered one of the pioneers of game theory. His most prominent contributions are the inception and … of market economies. His contributions to non-cooperative game theory include the introduction of stochastic games …

allowing all its members to get the service that generates the revenues. We focus on the study of the core of cost … consideration to all its members, it is shown that a cost-revenue game has a nonempty core for any vector of revenues if, and only … if, the dual game of the cost game has a large core. Using this result, we investigate minimum cost spanning tree games …

axiomatization of the Shapley value that the requirements of Core Compatibility, Equal Treatment Property and Strong Monotonicity are …

introduce the corresponding TU-games. The core, as well as the two friendly solutions for the corners of the market, in this …

using coherent measures of risk it is impossible to allocate risk satisfying simultaneously the natural requirements of Core …

axiomatization of the Shapley value that the requirements of Core Compatibility, Equal Treatment Property and Strong Monotonicity are …