Advances in Dynamic Games and Applications

by Eitan Altmann, Odile Pourtallier

Overview

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 Control), 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.

Product Details

ISBN-13:	9781461266372
Publisher:	Birkhäuser Boston
Publication date:	10/21/2012
Series:	Annals of the International Society of Dynamic Games , #6
Edition description:	Softcover reprint of the original 1st ed. 2001
Pages:	347
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

I Dynamic Games: Theory.- On Problems with Information in Some Games: Modelling the Strategies in Some Dynamic Games.- A Historical Perspective on Cooperative Differential Games.- Certainty Equivalence Principle and Minimax Team Problems.- Evolutionary Processes in Signaling Games: The Impact of Different Learning Schemes.- Mixed Strategies for Hierarchical Zero-Sum Games.- The Existence and Uniqueness of Equilibria in Convex Games with Strategies in Hilbert Spaces.- II Shasic Games.- The Existence of Equilibrium Payoffs in Two-Player Shastic Games.- Persistently Good Strategies for Nonleavable Shastic Games with Finite State Space.- On Shastic Hybrid Zero-Sum Games with Nonlinear Slow Dynamics.- On Multichain Markov Games.- Perturbed Zero-Sum Games with Applications to Shastic and Repeated Games.- III Solution Methods of Dynamic Games.- Construction of Singular Surfaces.- Parallel Algorithms for the Isaacs Equation.- Computation of S-adapted Equilibria in Piecewise Deterministic Games via Shastic Programming Methods.- Comparison of Two Numerical Approaches for the Barrier and Value of a Simple Pursuit—Evasion Game.- IV Dynamic Games: Applications.- On Optimal Missile Guidance Upgrades with Dynamic Stackelberg Game Linearizations.- Homicidal Chauffeur Game: Computation of Level Sets of the Value Function.- “The Tragedy of the Commons” Modelled by Large Games.

Editorial Reviews

"The book offers an ideal survey of recent developments and advances in dynamic games, models and their applications. It is an essential resource for all dynamic game researchers and professionals in fields of systems and control engineering, operations research, and applied mathematics.

The new book focuses on various aspects of dynamic game theory and provides authoritative, state-of-the-art information. 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."

—Analele Stiintifice Ale Universitatii "Al. I. Cuza” Iasi

From the Publisher