-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …

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 non-empty 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 …

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. …

This paper investigates core stability of cooperative, TU games via a fuzzy extension of the totally balanced cover of … a TU game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to reflect the … core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the existence …

Game Theory describes human interaction involving conflict, cooperation and competition, the term Interpersonal … Decision Theory is synonymous. The term reflects the fact that most essential features of this field are manifested in parlor …

coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …

) located along the river. The benefit of each agent depends on the amount of water consumed by the agent. An allocation of the … water among the agents is efficient when it maximizes the total benefits. To sustain an efficient water allocation, the … agents can compensate each other by paying monetary transfers. Every water allocation and transfer schedule yields a welfare …

, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced …

. The core predicts a unique and extreme outcome: the entire surplus is split evenly among the buyers when m > n and among … the sellers when m < n; the long side gets nothing. We test this core conjecture in the lab with n + m = 3 or 5 randomly … agreements while trading. Despite frequent attempts to collude and occasional large deviations from the core prediction, we find …

ones. We then define the balanced-core as a refinement ofthe core. A payoff vector lies in the balanced-core if it lies in … the core andthe payoff vector is an element of payoff sets of all graphs in some balanced collection ofgraphs. We prove … that any balanced graph game has a nonempty balanced-core.We conclude by some examples showing the usefulness of the …