Contents
Preface xi
Chapter 1. Introduction to Decision Theory 1
§1.1. Preliminaries 1
§1.2. Ordinal Utility 3
§1.3. Linear Utility 6
Chapter 2. Strategic Games 13
§2.1. Introduction to Strategic Games 13
§2.2. Nash Equilibrium in Strategic Games 18
§2.3. Two-Player Zero-Sum Games 24
§2.4. Mixed Strategies in Finite Games 28
§2.5. Bimatrix Games 31
§2.6. Matrix Games 37
§2.7. Algorithms for Matrix Games 43
§2.8. Matrix Games and Linear Programming 52
§2.9. Refinements of Nash Equilibrium in Finite Games 59
§2.10. A Basic Model of Knowledge 72
§2.11. Correlated Equilibrium 75
§2.12. On the Epistemic Foundations of the Different Solution
Concepts for Strategic Games 80
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