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	Introduction To Game Theory by Stef Tijs
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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.

Contents: 1. Introduction 2. Game in Strategic form 3. Two-person zero-sum games 4. Mixed extensions of bimatrix games 5. The Nash equilibria of a 3-person game 6. Linear programming and matrix games 7. Linear complementarity and bimatrix games 8. Potential games 9. Other topics in non-cooperative game theory 10. Games in coalitional form 11. The imputation set and the core 12. Linear production games 13. Dominance, the D-core and stable sets 14. The Shapley value 15. The r-value 16. The nucleolus 17. Bargaining games 18. NTU-games 19. The NTU-value A Solutions of Exercises B Extra exercises Bibliography

ISBN - 8185931372

Pages : 184

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Introduction To Game Theory

by Stef Tijs