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In game theory, the common ways to describe a game are the normal form and the extensive form. The graphical form is an alternate compact representation of a game using the interaction among participants. Consider a game with players with 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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  • In game theory, the common ways to describe a game are the normal form and the extensive form. The graphical form is an alternate compact representation of a game using the interaction among participants. Consider a game with players with 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. (en)
  • 在博弈论中,描述博弈论的常用方法有正则形式的博弈和扩展形式的博弈。图博弈论是参与者之间简洁博弈的表示形式。 考虑一个博弈,有个参与者,每个人有种策略。我们将任何一个参与者表示为一个图中的节点,在这个图中,每个参与者都有一个效用函数,这个效用函数仅仅与其邻居有关。该效用函数依赖的其他参与者越少,图示也就越小。 (zh)
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  • In game theory, the common ways to describe a game are the normal form and the extensive form. The graphical form is an alternate compact representation of a game using the interaction among participants. Consider a game with players with 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. (en)
  • 在博弈论中,描述博弈论的常用方法有正则形式的博弈和扩展形式的博弈。图博弈论是参与者之间简洁博弈的表示形式。 考虑一个博弈,有个参与者,每个人有种策略。我们将任何一个参与者表示为一个图中的节点,在这个图中,每个参与者都有一个效用函数,这个效用函数仅仅与其邻居有关。该效用函数依赖的其他参与者越少,图示也就越小。 (zh)
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  • Graphical game theory (en)
  • 图博弈论 (zh)
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