Dynamic Noncooperative Game Theory
By: Tamer Başar, Geert Jan Olsder.
Contributors: Olsder, Geert Jan.
Edition: 2nd ed.; SIAM edition
Series: Classics in Applied Mathematics
Publisher: SIAM
Published: 1999
Place of publication: Philadelphia, PA, USA
Language: eng
Format: Paperback
Number of pages: 519
ISBN-13: 9780898714296
Copyright date: 1999
Subjects: Differential games; Noncooperative games (Mathematics)
Description: Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. 

The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games. 

This Classics edition will be a useful textbook for graduate-level courses on optimal control theory. Engineers working in control and people working in economics, operational research, and business administration will also find the material helpful. Some basic knowledge of real analysis and probability is needed.
--back cover
Notes: Includes bibliographical references (p. 485-506) and index.
Revised from the 2nd ed. published in 1995 by Academic Press, New York.