The concepts of game theory (rationality etc) now pervade much of social science, so that Professor Zagare's exposition of game theory and its applications (intended to “convert the unconverted and initiate the uninitiated”) is very welcome. He provides methods for analysing the structure of the game; considers zero and nonzero-sum games and the fundamental ‘minimax theorem’; and investigates games with more than two players, including the possibility of coalitions between players. Diverse examples give the reader an idea of how the theory can be applied to a wide range of situations.

Zero-Sum Games: Conflict At the Extreme

Introduction

In this chapter, zero-sum games, which are games of total conflict, will be examined. In these games, value is neither created nor destroyed. What one player wins, the other loses, and vice versa. Hence, zero-sum games represent interdependent choice at one extreme, the extreme of diametrically ...

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