Dynamic noncooperative game theory / Tamer Başar, Geert Jan Olsder.

Format:

Book

Author/Creator:

Başar, Tamer.

Contributor:

Olsder, Geert Jan.

Books24x7, Inc.

Series:

Classics in applied mathematics ; 23.

Classics in applied mathematics ; 23

Language:

English

Subjects (All):

Differential games.

Noncooperative games (Mathematics).

Physical Description:

1 electronic text (xv, 519 p.) : ill., digital file.

Edition:

2nd ed.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1999.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

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.

Contents:

Preface to the Classics edition

Preface to the Second edition

Chapter 1. Introduction and motivation

Part I. Chapter 2. Noncooperative finite games. two-person zero-sum

Chapter 3. Noncooperative finite games. N-person nonzero-sum

Chapter 4. Static noncooperative infinite games

Part II. Chapter 5. General formulation of infinite dynamic games

Chapter 6. Nash and Saddle-Point equilibria of infinite dynamic games

Chapter 7. Stackelberg equilibria of infinite dynamic games

Chapter 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.

Notes:

Revised from the 2nd ed. published in 1995 by Academic Press, New York.

Includes bibliographical references (p. 485-506) and index.

Digitized and made available by: Books24x7.com.

Title from title screen, viewed 04/05/2011.

ISBN:

1-61197-113-6

Publisher Number:

CL23 SIAM