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Graphical game theory
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<p>In <a href="/facts/Game_theory/zkEIj1ya">game theory</a>, the common ways to describe a game are the <a href="/facts/Normal-form_game/1zxxyHC0">normal form</a> and the <a href="/facts/Extensive-form_game/Yw9gQ7um">extensive form</a>. The graphical form is an <a href="/facts/Succinct_game/raI0hz86">alternate compact representation</a> of a game using the interaction among participants. </p><p>Consider a game with n {\displaystyle n} players with m {\displaystyle m} strategies each. We will represent the players as nodes in a graph in which each player has a <a href="/facts/Utility_function/wlMDG74L">utility function</a> that depends only on him and his neighbors. As the utility function depends on fewer other players, the graphical representation would be smaller. </p>