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introduction to game theory

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Christian Julmi
Introduction to Game Theory
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Christian Julmi
Introduction to Game Theory
Download free eBooks at bookboon.com
3

Introduction to Game Theory
© 2012 Christian Julmi &
bookboon.com
ISBN 978-87-403-0280-6
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Introduction to Game Theory
4
Contents
Contents
1 Foreword 7
2 Introduction 8
2.1 Aim and task of game theory 8
2.2 Applications of game theory 8
2.3 An example: the prisoner’s dilemma 9
2.4 Game theory terms 11
3 Simultaneous games 14
3.1 Foundations 14
3.2 Strategies 14
3.3 Equilibriums in pure strategies 20


3.4 Equilibriums in mixed strategies 26
3.5 Special forms of games 34
3.6 Simultaneous games in economics 35
3.7 3-person games 38
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Introduction to Game Theory
5
Contents
4 Sequential games 41
4.1 Foundations 41
4.2 Terms 42
4.3 Subgames and subgame perfect equilibriums 43
4.4 Sequential games played simultaneously and Nash equilibriums 45
4.5 e First Mover’s Advantage (FMA) 47

4.6 An example: the Cuba crisis 48
5 Negotiations (cooperative games) 52
5.1 Foundations 52
5.2 Coalitions 53
5.3 e characteristic function 53
5.4 e cake game 54
5.5 Negotiations between two players 56
5.6 Distinguishing cooperative and non-cooperative games 57
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