A Course in Game TheoryA Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises. |
Contents
1 Introduction | 1 |
I Strategic Games | 9 |
II Extensive Games with Perfect Information | 87 |
III Extensive Games with Imperfect Information | 197 |
IV Coalitional Games | 255 |
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Common terms and phrases
action agent agreement alternating assigns assume assumption bargaining Bayesian behavior belief best response chapter choice chooses coalitional game common competitive Consider consistent contains core defined Definition depends deviation discuss dominated economy elimination equivalent event example Exercise exists extensive game fact Figure finite function game form game with perfect give given hand hence history h idea implementation individuals information set interpretation knowledge knows least Lemma machine moves Nash equilibrium Note notion objection obtain outcome pair payoff profile perfect information period play player 1’s positive possible preference relation probability problem Proof proposal Proposition punishment rational represented requirement result rule satisfies sequence sequential equilibrium Shapley situation stable strategic game strategy profile strictly subgame perfect equilibrium Suppose takes theorem theory tion transferable payoff unique