Advances in Dynamic Games and Applications (Annals of the International Society of Dynamic Games Book 6)

Game theory is a rich and active area of research of which this new volume of the Annals of the International Society of Dynamic Games is yet fresh evidence. Since the second half of the 20th century, the area of dynamic games has man­ aged to attract outstanding mathematicians, who found exciting open questions requiring tools from a wide variety of mathematical disciplines; economists, so­ cial and political scientists, who used game theory to model and study competition and cooperative behavior; and engineers, who used games in computer sciences, telecommunications, and other areas. The contents of this volume are primarily based on selected presentation made at the 8th International Symposium of Dynamic Games and Applications, held in Chateau Vaalsbroek, Maastricht, the Netherlands, July 5-8, 1998; this conference took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. The conference has been cosponsored by the Control Systems Society of the IEEE, IFAC (International Federation of Automatic Con­ trol), INRIA (Institute National de Recherche en Informatique et Automatique), and the University of Maastricht. One ofthe activities of the ISDG is the publica­ tion of the Annals. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival journals. Front Matter....Pages i-xi Front Matter....Pages 1-1 On Problems with Information in Some Games: Modelling the Strategies in Some Dynamic Games....Pages 3-18 A Historical Perspective on Cooperative Differential Games....Pages 19-29 Certainty Equivalence Principle and Minimax Team Problems....Pages 31-44 Evolutionary Processes in Signaling Games: The Impact of Different Learning Schemes....Pages 45-63 Mixed Strategies for Hierarchical Zero-Sum Games....Pages 65-77 The Existence and Uniqueness of Equilibria in Convex Games with Strategies in Hilbert Spaces....Pages 79-97 Front Matter....Pages 99-99 The Existence of Equilibrium Payoffs in Two-Player Stochastic Games....Pages 101-118 Persistently Good Strategies for Nonleavable Stochastic Games with Finite State Space....Pages 119-127 On Stochastic Hybrid Zero-Sum Games with Nonlinear Slow Dynamics....Pages 129-145 On Multichain Markov Games....Pages 147-163 Perturbed Zero-Sum Games with Applications to Stochastic and Repeated Games....Pages 165-181 Front Matter....Pages 183-183 Construction of Singular Surfaces in Linear Differential Games....Pages 185-202 Parallel Algorithms for the Isaacs Equation....Pages 203-223 Computation of S-adapted Equilibria in Piecewise Deterministic Games via Stochastic Programming Methods....Pages 225-252 Comparison of Two Numerical Approaches for the Barrier and Value of a Simple Pursuit—Evasion Game....Pages 253-273 Front Matter....Pages 275-275 On Optimal Missile Guidance Upgrades with Dynamic Stackelberg Game Linearizations....Pages 277-294 Homicidal Chauffeur Game: Computation of Level Sets of the Value Function....Pages 295-322 “The Tragedy of the Commons” Modelled by Large Games....Pages 323-345 Back Matter....Pages 347-347 Game theory is a rich and active area of research of which this new volume of the Annals of the International Society of Dynamic Games is yet fresh evidence. Since the second half of the 20th century, the area of dynamic games has man­aged to attract outstanding mathematicians, who found exciting open questions requiring tools from a wide variety of mathematical disciplines; economists, so­cial and political scientists, who used game theory to model and study competition and cooperative behavior; and engineers, who used games in computer sciences, telecommunications, and other areas. The contents of this volume are primarily based on selected presentation made at the 8th International Symposium of Dynamic Games and Applications, held in Chateau Vaalsbroek, Maastricht, the Netherlands, July 5-8, 1998; this conference took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. The conference has been cosponsored by the Control Systems Society of the IEEE, IFAC (International Federation of Automatic Con­ trol), INRIA (Institute National de Recherche en Informatique et Automatique), and the University of Maastricht. One of the activities of the ISDG is the publica­tion of the Annals. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival journals This new book focuses on various aspects of dynamic game theory, providing authoritative, state-of-the-art information and serves as ato the vitality of the field and its aplications. Frontiers of Dynamic Games presents the most current research on dynamic games as well as some survey papers. The book covers a wide area of applications and thus offers game theory tools useful for researchers who use game theory to model in many disciplines. The select, peer-reviewed chapters are based upon presentations at the 8th International Symposium of Dynamic Games and Applications held in Maastricht, The Netherlands. Topics and Features: Applications on solution algorithms and numerical approaches;Numerical methods and computer implementation of game models; Networking sitelecommunications and transportation; Stochastic games; Dynamic cooperative games; H-infinity control and robust controller designs The book offers an ideal survey of recent develops and advances in dynamic games and their applications. It is a valuable resource for all dynamic-game practitioners, researchers, and professionals in the fields of applied mathematics, economists, engineers, systems and control and environmental sciences.