Introduction to Game Theory

This book is an introductory graduate level text on game theory, which grew out of courses for students in Mathematics in Nijmegen and for students in Econometrics and Operations Research in Tilburg. Game theory deals with mathematical models of conflict and cooperation. In the first nine chapters attention is paid to non-cooperative games in extensive and strategic form and to some economic applications. Relations with the theory of linear programming and the theory of linear complementarity are indicated. In the last ten chapters different types of cooperative games and solution concepts are treated. Economic applications and applications in OR-situations with multiple agents are discussed. A rich collection of exercises, partly with solutions, is included.