Transcription of Introduction to Game Theory Lecture 5: Repeated Games
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Introduction to Game Theory Lecture 5: Repeated Games
Concepts and ToolsFinitely Repeated Prisoner s DilemmaInfinitely Repeated PDFolk to Game TheoryLecture 5: Repeated GamesHaifeng HuangUniversity of California, MercedShanghai, Summer and ToolsFinitely Repeated Prisoner s DilemmaInfinitely Repeated PDFolk TheoremRepeated Games Repeated Games : given a simultaneous - move gameG, arepeated game ofGis an extensive game with perfectinformation and simultaneous moves in which a history is asequence of action profiles inG. I will denote the repeatedgame, if repeatedTtimes, asGT. Gis often called astage game( ), andGTis called asupergame( ). Why Repeated Games matter: if players interact repeatedly,maybe they can be induced to cooperate rather than defect,by the threat of punishment, if they defect, by other players inlater rounds of the interactions.
Repeated games • Repeated games: given a simultaneous-move game G, a repeated game of G is an extensive game with perfect information and simultaneous moves in which a history is a sequence of action profiles in G. I will denote the repeated game, if repeated T times, as GT. • G is often called a stage game(阶段博弈), and GT is called a
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