Modem Game Theory Has Evolved Enonnously Since Its Inception In The 1920s In The Works Ofborel And Von Neumann And Since Publication In The 1940s Of The Seminal Treatise Theory Of Games And Economic Behavior By Von Neumann And Morgenstern. The Branch Of Game Theory Known As Dynamic Games Is-to A Significant Extent-descended From The Pioneering Work On Differential Games Done By Isaacs In The 1950s And 1960s. Since Those Early Decades Game Theory Has Branched Out In Many Directions, Spanning Such Diverse Disciplines As Math Ematics, Economics, Electrical And Electronics Engineering, Operations Research, Computer Science, Theoretical Ecology, Environmental Science, And Even Political Science. The Papers In This Volume Reflect Both The Maturity And The Vitalityofmodem Day Game Theoryin General, Andofdynamic Games, Inparticular. The Maturitycan Be Seen From The Sophistication Ofthe Theorems, Proofs, Methods, And Numerical Algorithms Contained In These Articles. The Vitality Is Manifested By The Range Of New Ideas, New Applications, The Numberofyoung Researchers Among The Authors, And The Expanding Worldwide Coverage Of Research Centers And Institutes Where The Contributions Originated.

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nexusstc/Advances in Dynamic Games and Applications/05dfe857e63bccd53863a4e7850367df.pdf

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zlib/Mathematics/Eitan Altman, Tamer Başar, Naira Hovakimyan (auth.), Jerzy A. Filar, Vladimir Gaitsgory, Koichi Mizukami (eds.)/Advances in Dynamic Games and Applications_2104886.pdf

edited by Jerzy A. Filar, Vladimir Gaitsgory, Koichi Mizukami

Birkhäuser Basel

Birkhauser

Springer

Annals of the International Society of Dynamic Games -- 5, Annals of the International Society of Dynamic Games -- 5., Boston, MA, Massachusetts, 2000

Place of publication not identified, 2000

United States, United States of America

Springer Nature, Boston, MA, 2012

2000, 2012

lg950992

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Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Worst-Case Rate-Based Flow Control with an ARMA Model of the Available Bandwidth....Pages 3-29
H ∞ Output Feedback Control Problems for Bilinear Systems....Pages 31-46
H ∞Control of a Class of Infinite-Dimensional Linear Systems with nonlinear Outputs....Pages 47-80
Nonstandard Extension of H ∞ -Optimal Control for Singularly Perturbed Systems....Pages 81-94
Front Matter....Pages 95-95
Geodesic Parallel Pursuit Strategy in a Simple Motion Pursuit Game on the Sphere....Pages 97-113
Real-Time Collision Avoidance: Differential Game, Numerical Solution, and Synthesis of Strategies....Pages 115-135
Rendezvous-Evasion as a Multistage Game with Observed Actions....Pages 137-150
Identification and Construction of Singular Surfaces in Pursuit-Evasion Games....Pages 151-175
On the Numerical Solution of a Class of Pursuit-Evasion Games....Pages 177-192
Front Matter....Pages 193-193
Infinite Horizon Dynamic Games with Coupled State Constraints....Pages 195-212
Constrained Markov Games: Nash Equilibria....Pages 213-221
Piecewise-Deterministic Differential Games and Dynamic Teams with Hybrid Controls....Pages 223-256
A Game Variant of the Stopping Problem on Jump Processes with a Monotone Rule....Pages 257-266
Front Matter....Pages 267-267
Refinement of the Nash Solution for Games with Perfect Information....Pages 269-277
A Perturbation on Two-Person Zero-Sum Games....Pages 279-288
The Linear Complementarity Problem in Static and Dynamic Games....Pages 289-301
Weighted Discounted Stochastic Games with Perfect Information....Pages 303-323
Stochastic Games with Complete Information and Average Cost Criteria....Pages 325-338
Front Matter....Pages 339-339
Crime and Law Enforcement: A Multistage Game....Pages 341-359
Global Analysis of a Dynamic Duopoly Game with Bounded Rationality....Pages 361-385
Front Matter....Pages 339-339
A Multistage Supergame of Downstream Pollution....Pages 387-403
Solution and Stability for a Simple Dynamic Bottleneck Model....Pages 405-425
Cumulants and Risk-Sensitive Control: A Cost Mean and Variance Theory with Application to Seismic Protection of Structures....Pages 427-459
Back Matter....Pages 461-461

Modem game theory has evolved enonnously since its inception in the 1920s in the works ofBorel and von Neumann and since publication in the 1940s of the seminal treatise "Theory of Games and Economic Behavior" by von Neumann and Morgenstern. The branch of game theory known as dynamic games is-to a significant extent-descended from the pioneering work on differential games done by Isaacs in the 1950s and 1960s. Since those early decades game theory has branched out in many directions, spanning such diverse disciplines as mathematics, economics, electrical and electronics engineering, operations research, computer science, theoretical ecology, environmental science, and even political science. The papers in this volume reflect both the maturity and the vitality of modem day game theory in general, and of dynamic games, in particular. The maturity can be seen from the sophistication of the theorems, proofs, methods, and numerical algorithms contained in these articles. The vitality is manifested by the range of new ideas, new applications, the numberofyoung researchers among the authors, and the expanding worldwide coverage of research centers and institutes where the contributions originated

This text focuses on various aspects of dynamic game theory, and serves as a guide to the vitality of the field and its applications. A variety of topics are presented including: robust control design and H infinity; pursuit-evasion games; and coupled dynamic and stochastic games.

Annals of the International Society of Dynamic Games
Erscheinungsdatum: 05.12.2012

2013-08-01