Some matrix games based on graphs
نویسندگان
چکیده
Ravindra Bapat We consider two-person zero-sum games, or matrix games, in which the pure strategies of the players are the vertices, or the edges of a graph, and the payoff is determined by the incidence structure. We identify some cases where the value and the optimal strategies can be explicitly determined. In particular, we consider the incidence matrix game in which the payoff matrix is the vertex-edge incidence matrix of a graph. A graph-theoretic description of the value and the optimal strategies is provided.
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