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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Graphical game theory ： ウィキペディア英語版 Graphical game theory 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 $n$ players with $m$ 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. ==Formal definition== A graphical game is represented by a graph $G$, in which each player is represented by a node, and there is an edge between two nodes $i$ and $j$ iff their utility functions are depended on the strategy which the other player will choose. Each node $i$ in $G$ has a function $u\_:\backslash ^\backslash rightarrow\backslash mathbb$, where $d\_i$ is the degree of vertex $i$. $u\_$ specifies the utility of player $i$ as a function of his strategy as well as those of his neighbors. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Graphical game theory」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.