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.

Representing Games: Extensive and Normal Forms

Primitive Concepts

As previously indicated, game theory is a theory of interdependent choice. Technically, the simplest type of game is a one-person game, sometimes called a game against nature, wherein a single player makes a decision in the face of an ...

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