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==Formal definition==
A graphical game is represented by a graph <math>G</math>, in which Each player is represented by a node, and there is an edge between two nodes <math>i,j</math> <math>iff</math> their utility functions are depended on the strategy which the other player will choose . Each node <math>i</math> in <math>G</math> has a function <math>u_{i}:\{1\ldots m\}^{d_{i}+1}\rightarrow\mathbb{R}</math>, where <math>d_i</math> is the degree of vertex <math>i</math>. <math>u_{i}</math> specifies the utility of player <math>i</math> as a function of his strategy as well as those of his neighbors.
==The size of the game's representation==
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