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Acknowledgments | |
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Introduction | |
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Static Games of Complete Information | |
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Games in Strategic Form and Nash Equilibrium | |
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Introduction to Games in Strategic Form and Iterated Strict Dominance | |
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Nash Equilibrium | |
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Existence and Properties of Nash Equilibria | |
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Exercises | |
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References | |
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Iterated Strict Dominance, Rationalizability, and Correlated Equilibrium | |
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Iterated Strict Dominance and Rationalizability | |
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Correlated Equilibrium | |
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Rationalizability and Subjective Correlated Equilibria | |
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Dynamic Games of Complete Information | |
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Extensive-Form Games | |
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Introduction | |
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Commitment and Perfection in Multi-Stage Games with Observed Actions | |
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The Extensive Form | |
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Strategies and Equilibria in Extensive-Form Games | |
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Backward Induction and Subgame Perfection | |
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Critiques of Backward Induction and Subgame Perfection | |
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Exercises | |
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References | |
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Applications of Multi-Stage Games with Observed Actions | |
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Introduction | |
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The Principle of Optimality and Subgame Perfection | |
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A First Look at Repeated Games | |
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The Rubenstein-Stahl Bargaining Model | |
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Simple Timing Games | |
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Iterated Conditional Dominance and the Rubenstein Bargaining Game | |
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Open-Loop and Closed-Loop Equilibria | |
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Finite-Horizon and Infinite-Horizon Equilibria | |
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Exercises | |
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References | |
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Repeated Games | |
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Repeated Games with Observable Actions | |
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Finitely Repeated Games | |
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Repeated Games with Varying Opponents | |
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Pareto Perfection and Renegotiation-Proofness in Repeated Games | |
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Repeated Games with Imperfect Public Information | |
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The Folk Theorem with Imperfect Public Information | |
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Changing the Information Structure with the Time Period | |
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Exercises | |
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References | |
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Static Games of Incomplete Information | |
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Bayesian Games and Bayesian Equilibrium | |
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Incomplete Information | |
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Example 6.1: Providing a Public Good under Incomplete Information | |
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The Notions of Type and Strategy | |
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Bayesian Equilibrium | |
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Further Examples of Bayesian Equilibrium | |
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Deletion of Strictly Dominated Strategies | |
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Using Bayesian Equilibria to Justify Mixed Equilibria | |
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The Distributional Approach | |
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Exercises | |
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References | |
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Bayesian Games and Mechanical Design | |
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Examples of Mechanical Design | |
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Mechanism Design and the Revelation Principle | |
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Mechanism Design with a Single Agent | |
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Mechanisms with Several Agents: Feasible Allocations, Budget Balance, and Efficiency | |
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Mechanism Design with Several Agents: Optimization | |
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Further Topics in Mechanism Design | |
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Appendix | |
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Exercises | |
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References | |
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Dynamic Games of Incomplete Information | |
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Equilibrium Refinements: Perfect Bayesian Equilibrium, Sequential Equilibrium, and Trembling-Hand Perfection | |
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Introduction | |
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Perfect Bayesian Equilibrium in Multi-Stage Games of Incomplete Information | |
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Extensive-Form Refinements | |
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Strategic-Form Refinements | |
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Appendix | |
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Exercises | |
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References | |
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Reputation Effects | |
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Introduction | |
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Games with a Single Long-Run Player | |
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Games with a Many Long-Run Players | |
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A Single "Big" Player against Many Simultaneous Long-Lived Opponents | |
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Exercises | |
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References | |
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Sequential Bargaining under Incomplete Information | |
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Introduction | |
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Intertemporal Price Discrimination: The Single-Sale Model | |
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Intertemporal Price Discrimination: The Rental or Repeated-Sale Model | |
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Price Offers by and Informed Buyer | |
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Exercises | |
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References | |
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Advanced Topics | |
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More Equilibrium Refinements: Stability, Forward Induction, and Iterated Weak Dominance | |
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Strategic Stability | |
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Signaling Games | |
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Forward Induction, Iterated Weak Dominance, and "Burning Money" | |
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Robust Predictions under Payoffs Uncertainty | |
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Exercises | |
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References | |
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Advanced Topics in Strategic-Form Games | |
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Generic Properties of Nash Equilibria | |
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Existence of Nash Equilibrium in Games with Continuous Action Spaces and Discontinuous Payoffs | |
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Supermodular Games | |
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Exercises | |
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References | |
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Payoff-Relevant Strategies and Markov Equilibrium | |
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Markov Equilibria in Specific Classes of Games | |
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Markov Perfect Equilibrium in General Games: Definition and Properties | |
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Differential Games | |
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Capital-Accumulation Games | |
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Exercises | |
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References | |
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Common Knowledge and Games | |
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Introduction | |
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Knowledge and Common Knowledge | |
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Common Knowledge and Equilibrium | |
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Common Knowledge, Almost Common Knowledge, and the Sensitivity of Equilibria to the Information Structure | |
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Exercises | |
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References | |
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Index | |