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Unformatted text preview: preferences of each player i be defined over A , rather than A i , is the feature that distinguishes a strategic game from a decision problem: each player may care not only about his own action but also about the actions taken by the other players. To summarize, our definition is the following. •Definition 11.1 A strategic game consists of • a finite set N (the set of players ) • for each player a nonempty set A i (the set of actions available to player i ) • for each player a preference relation on (the preference relation of player i ). If the set A i of actions of every player i is finite then the game is finite ....
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- Spring '10