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In [[game theory]], the common ways to describe a game are the [[normal-form game|normal form]] and the [[extensive-form game|extensive form]]. The graphical form is an [[Succinct game|alternate compact representation]] of a game using the interaction among participants.
Consider a game with <math>n</math> players with <math>m</math> strategies each. We will represent the players as nodes in a graph in which each player has a [[utility function]] that depends only on him and his neighbors. As the utility function depends on fewer other players, the graphical representation would be smaller.
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