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Table of Contents - Pg. v

Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi PART I FUNDAMENTALS OF GAME THEORY 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 A Better Understanding of the Need for Game Theory from Four Simple Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 Representations and Classification of Games . . . . . . . . . . . . . . . . . . . 1.3.1 Representations of a Game . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3.2 Classification of Games . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.4 Some Fundamental Notions of Game Theory . . . . . . . . . . . . . . . . . . . 1.4.1 Actions, Pure Strategies, Mixed Strategies . . . . . . . . . . . . . . . 1.4.2 Dominant Strategies, Rationality, Pareto-Dominance, Best-Response Correspondence . . . . . . . . . . . . . . . . . . . . . . . . . . 1.4.3 Nash Equilibrium, Dominant Strategy Equilibrium, Correlated Equilibrium, Coarse Correlated Equilibrium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 3 4 8 8 15 17 17 19 CHAPTER 1 A Very Short Tour of Game Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22