Advances in Dynamic Games and Applications

by Filar, Jerzy A.; Gaitsgori, Vladimir Grigorevich; Mizukami, Koichi

• ISBN13: 9780817640026
• ISBN10: 0817640029
• Format: Hardcover
• Copyright: 2000-05-01
• Publisher: Springer Verlag

Summary

Focuses on various aspects of dynamic-game theory, providing authoritative, state-of-the-art information and serving as a guide to the vitality of the field and its applications. DLC: Game theory.

Table of Contents

Preface	ix
Contributors	xv
Part I Robust Control Design and H∞
Worst-Case Rate-Based Flow Control with an ARMA Model of the Available Bandwidth	3	(28)
Eitan Altman
Tamer Basar
Naira Hovakimyan
H∞ Output Feedback Control Problems for Bilinear Systems	31	(16)
Seigo Sasaki
Kenko Uchida
H∞ Control of a Class of Infinite-Dimensional Linear Systems with Nonlinear Outputs	47	(34)
Mingquing Xiao
Tamer Basar
Nonstandard Extension of H∞-Optimal Control for Singularly Perturbed Systems	81	(16)
Hua Xu
Koichi Mizukami
Part II Pursuit-Evasion (P-E) Games
Geodesic Parallel Pursuit Strategy in a Simple Motion Pursuit Game on the Spahere	97	(18)
A.M. Kovshov
Real-Time Collision Avoidance: Differential Game, Numerical Solution, and Synthesis of Strategies	115	(22)
Rainer Lachner
Michael H. Breitner
H. Josef Pesch
Rendezvous-Evasion as a Multistage Game with Observed Actions	137	(14)
Wei Shi Lim
Identification and Construction of Singular Surfaces in Pursuit-Evasion Games	151	(26)
A.A. Melikyan
Josef Shinar
On the Numerical Solution of a Class of Pursuit-Evasion Games	177	(18)
Tuomas Raivio
Harri Ehtamo
Part III Coupled Dynamic and Stochastic Games
Infinite Horizon Dynamic Games with Coupled State Constraints	195	(18)
Dean A. Carlson
Alain B. Haurie
Constrained Markov Games: Nash Equilibria	213	(10)
Eitan Altman
Adam Shwartz
Piecewise-Deterministic Differential Games and Dynamic Teams with Hybrid Controls	223	(34)
Eitan Altman
Tamer Basar
Zigang Pan
A Game Variant of the Stopping Problem on Jump Processes with a Monotone Rule	257	(10)
Jun-ichi Nakagami
Masami Kurano
Masami Yasuda
Part IV General Game Theoretic Developments
Refinement of the Nash Solution for Games with Perfect Information	267	(12)
Leon A. Petrosjan
A Perturbation on Two-Person Zero-Sum Games	279	(10)
Yutaka Kimura
Yoichi Sawasaki
Kensuke Tanaka
The Linear Complementarity Problem in Static and Dynamic Games	289	(14)
G.S.R. Murthy
T. Parthasarathy
B. Sriparna
Weighted Discounted Stochastic Games with Perfect Information	303	(22)
Eitan Altman
Eugene A. Feinberg
Adam Shwartz
Stochastic Games with Complete Information and Average Cost Criteria	325	(16)
Heinz-Uwe Kuenle
Part V Applications
Crime and Law Enforcement: A Multistage Game	341	(20)
Herbert Dawid
Gustav Feichtinger
Steffen Jorgensen
Global Analysis of a Dynamic Duopoly Game with Bounded Rationality	361	(26)
Gian Italo Bischi
Ahmad Naimzada
A Multistage Supergame of Downstream Pollution	387	(18)
Leon A. Petrosjan
Georges Zaccour
Solution and Stability for a Simple Dynamic Bottleneck Model	405	(22)
Andre de Palma
Cumulants and Risk-Sensitive Control: A Cost Mean and Variance Theory with Application to Seismic Protection of Structures	427
Michael K. Sain
Chang-Hee Won
B.F. Spencer, Jr.
Stanley R. Liberty