[b]GAME THEORY BI-MATRICES[/b]
This book is a collection of applets on Game Theory normal form representations.
Only games with two players have been considered.
[b]The first applet[/b] considers up to 4x4 bi-matrices (games with up to 4 strategies for both players).
To solve the games, the method of [i]iterated elimination of strictly dominated strategies[/i] has been used.
As an experimental feature, on can exercise the controversial method of [i]iterated elimination of Pareto-dominated strategies[/i] as well (eliminating weakly dominated strategies).
[b]The second applet[/b] considers 2x2 bi-matrices.
The applet calculates Nash equilibria both of pure and of mixed strategies. Corresponding expected utilities can be studied.
[b]The third applet[/b] considers famous games of two players with two strategies (2x2 bi-matrices):
- Prisoners' Dilemma
- The Coordination Game
- Hawk - Dove ("Chicken")
- The Battle of the Sexes
- Matching the Pennies
One less known game with Pareto-dominated strategies has been added to illustrate the possibility of infinitely many Nash equilibria of mixed strategies.
In all of the applets, I have tried to use [color=#0a971e][b]dynamic colours[/b][/color] to make the tables and figures more easily readable.
