Matsumoto A., Szidarovszky F. Game Theory and Its Applications 2ed 2025

Textbook in PDF format

This book integrates the fundamentals, methodology, and major application fields of noncooperative and cooperative games including conflict resolution. The topics addressed in the book are discrete and continuous games including games represented by finite trees; matrix and bimatrix games as well as oligopolies; cooperative solution concepts; games under uncertainty; dynamic games; and conflict resolution. The methodology is illustrated by carefully chosen examples and applications, and the case studies are selected from economics, social sciences, engineering, the military, and homeland security. This book is highly recommended to readers who are interested in the in-depth and up-to-date integration of the theory and ever-expanding application areas of game theory. Dynamic games with and without delays and partial cooperation are added in the 2nd. edition.
Preface.
Noncooperative Games
Discrete Static Games.
Continuous Static Games.
Relation to Other Mathematical Problems.
Existence of Equilibria.
Computation of Equilibria.
Special Matrix Games.
Uniqueness of Equilibria.
Repeated and Dynamic Games.
Games Under Uncertainty.
Cooperative Games
Solutions Based on Characteristic Functions.
Partial Cooperation.
Conflict Resolution.
Multiobjective Optimization.
Social Choice.
Case Studies and Applications of Static Games.
Case Studies and Applications of Repeated and Dynamic Games.
Appendix A Vector and Matrix Norms
Appendix B Convexity, Concavity
Appendix C Optimum Conditions
Appendix D Fixed Point Theorems
Appendix E Monotonic Mappings
Appendix F Duality in Linear Programming
Appendix G Multiobjective Optimization
Appendix H Stability and Controllability
References
Index