of 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 …

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 …

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 …

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

-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 …

-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 …

.It is well-known that balancedness is a sufficient condition for the nonemptiness of the core of such a cooperative non … a cooperative game in graph structure or shortly graph game.A payoff vector lies in the core of the game if there is no … graph on a group of players which can make all of its members better off.We define the balanced-core of a graph game as a …

-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 …