New trends in dynamic games and applications

by Geert Jan Olsder

Dynamic game theory has found applications in almost every scientific discipline that uses mathematical modeling tools to investigate ideas and solve problems. Growing from a rich assortment of theoretical concepts, applications abound to other areas of mathematics as well as to economics, biology, management science, engineering and many other fields of study. The papers included in this volume demonstrate this diversity in dynamical games, both with respect to theory and applications and are grouped in five areas: -Zero-sum games: minimax control - H-infinity aspects, incomplete (deterministic) information, problems with slow and fast dynamics -Zero-sum games: pursuit evasion - Air control problems, relationship with symbolic programming, neural networks - Zero-sum games: solution methods - Numerical approaches via clever discretization schemes and viscosity solutions - Nonzero-sum games: theory - Turnpike theorems, Riccati equations for Nash solutions, dynamic bargaining, cooperative games - Nonzero-sum games: applications - economic, management, and biological games

Research workers and graduate students will find in this volume a rich source of ideas and information relating to their work and study in dynamic games.

482 pages, Hardcover

Published January 1, 1995