# GAME THEORY TABLES

- Author:
- Jüri Eintalu

**GAME THEORY BI-MATRICES**This book is a collection of applets on Game Theory normal form representations. Only games with two players have been considered.

**The first applet**considers up to 4x4 bi-matrices (games with up to 4 strategies for both players). To solve the games, the method of

*iterated elimination of strictly dominated strategies*has been used. As an experimental feature, on can exercise the controversial method of

*iterated elimination of Pareto-dominated strategies*as well (eliminating weakly dominated strategies).

**The second applet**considers 2x2 bi-matrices. The applet calculates Nash equilibria both of pure and of mixed strategies. Corresponding expected utilities can be studied.

**The third applet**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

**dynamic colours**to make the tables and figures more easily readable.