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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