Elements of Game Theory

This booktreats in a popular manner the elements of game theory and some methods for solving matrix games. It contains almost no proofs and illustrates the basic principles with examples. To be able to read the book, an acquaintance with the elements of probability theiry and calculus is enough. The book is intended to disseminate the ideas of game theory which have practical economic or military applications.

Contents

1. The Subject-matter of Game Theory. Basic Concepts

2. The Lower and the Upper Value of the Game. The “Minimax” Principle

3. Pure and Mixed Strategies. The Solution of a Game in Mixed Strategies

4. Elementary Methods for Solving Games. 2 x 2 and 2 x n Games

5. General Methods for Solving Finite Games

6. Approximation Methods for Solving Games

7. Methods for Solving Some Infinite Games