Game Theory: Analysis of Conflict

Preface

1. Decision-Theoretic Foundations

1.1 Game Theory, Rationality, and Intelligence

1.2 Basic Concepts of Decision Theory

1.3 Axioms

1.4 The Expected-Utility Maximization Theorem

1.5 Equivalent Representations

1.6 Bayesian Conditional-Probability Systems

1.7 Limitations of the Bayesian Model

1.8 Domination

1.9 Proofs of the Domination Theorems

Exercises

2. Basic Models

2.1 Games in Extensive Form

2.2 Strategic Form and the Normal Representation

2.3 Equivalence of Strategic-Form Games

2.4 Reduced Normal Representations

2.5 Elimination of Dominated Strategies

2.6 Multiagent Representations

2.7 Common Knowledge

2.8 Bayesian Games

2.9 Modeling Games with Incomplete Information

Exercises