Formal Definition
A graphical game is represented by a graph, in which each player is represented by a node, and there is an edge between two nodes and iff their utility functions are depended on the strategy which the other player will choose . Each node in has a function, where is the degree of vertex . specifies the utility of player as a function of his strategy as well as those of his neighbors.
Read more about this topic: Graphical Game Theory
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