| Contents |
Page Number |
| About the author: Dr. Harjinthar Singh |
8 |
| About the author: Joaquín Antonio |
9 |
| Prologue |
10 |
| Chapter 1 |
11 |
| What is Game Theory? |
11 |
| History of Game Theory |
14 |
| What makes up a game? |
16 |
| What is a strategy? |
17 |
| Types of Games |
18 |
| Chapter 2 |
30 |
| Equilibrium |
30 |
| What is Nash Equilibrium |
30 |
| Maximax, Maximin and Minimax |
32 |
| An Example for Maximax, Maximin and Minimax |
34 |
| Chapter 3 |
34 |
| Zero-sum Games in Extensive Form |
43 |
| Game Tree |
44 |
| Example: Tic-tac-toe |
46 |
| Example: Nim |
49 |
| Chapter 4 |
54 |
| Zero-sum Games in Normal Form |
54 |
| Example: Rock-Paper-Scissors |
55 |
| What Is Nash Equilibrium In Rock-Paper-Scissors? |
56 |
| Chapter 5 |
64 |
| Non-zero-sum Games |
64 |
| Example: The Prisoner's Dilemma |
67 |
| Example: Battle of the Sexes |
68 |
| Example: Chicken |
71 |
| Chapter 6 |
75 |
| Repeated and Stochastic Games |
75 |
| Repeated Games |
75 |
| Example: The Big Match |
78 |
| Finally, the question arises on why does The Big Match do not have a
value under stationary strategies? |
80 |
| Chapter 7 |
81 |
| Uncertainty About Payoffs: Bayesian Games |
81 |
| Bayesian Games |
81 |
| Example: Battle of the Sexes |
83 |
| Chapter 8 |
88 |
Coalition (COOPERATIVE) Game Theory |
88 |
| Shapely Value |
89 |
| Final Chapter |
100 |
| SELECTED ARTICLES ON Game theory in real-life |
100 |
| Article 1 | How Game Theory Affects Your Everyday Life |
100 |
|
Article 2 | Game Theory: Two Real World Examples |
103 |
|
Article 3 | Game theory and COVID-19: Major defense project pivots to
explore how to coordinate safe behavior |
105 |
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