Dynamic Noncooperative Game Theory
2nd Edition
$92.00 (C)
Part of Classics in Applied Mathematics
- Authors:
- Tamer Basar
- Geert Jan Olsder
- Date Published: January 1987
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
- format: Paperback
- isbn: 9780898714296
$
92.00
(C)
Paperback
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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.
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×Product details
- Edition: 2nd Edition
- Date Published: January 1987
- format: Paperback
- isbn: 9780898714296
- length: 535 pages
- dimensions: 230 x 153 x 29 mm
- weight: 0.718kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
Preface to the classics edition
Preface to the second edition
1. Introduction and motivation
Part I:
2. Noncooperative Finite Games: two-person zero-aum
3. Noncooperative finite games: N-Person nonzero-sum
4. Static noncooperative Infinite Games
Part II:
5. General Formulation of Infinite Dynamic Games
6. Nash and Saddle-Point Equilibria of Infinite Dynamic Games
7. Stackelberg Equilibria of Infinite Dynamic Games
8. Pursuit-Evasion Games
Appendix A: Mathematical Review
Appendix B: Some notions of probability theory
Appendix C: Fixed point theorems
Bibliography
Table: Corollaries, Definitions, Examples, Lemmas, Propositions, remarks and theorems
Index.
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