This new book, organized by editors representing a wide degree of interests in dynamic games, is aimed at control engineers, applied mathematicians, operations research specialists, and research workers. It contains survey papers on such diverse topics as pursuit-evasion games, viscosity solutions, gambling theory, discounted stochastic games, optimal routing, numerical methods, and others. The volume consists of two parts, with the first dealing with zero-sum differential games and numerical methods, and the second with stochastic and nonzero-sum games, and applications. Topics and Features: state-of-the-art surveys, new results, and algorithms. viscosity solutions. gambling theory and stochastic games. optimal routing. viability kernel algorithm and discriminating kernal algorithm. Researchers, professionals and advanced graduate students will find the book an essential resource for current work in dynamic games and applications. Series: Annals of the International Society of Dynamic Games, Volume 4 Contents: Foreword and Dedication/T. Basar Preface/M. Bardi, T.E.S. Raghavan and T. Parthasarathy Part I. Zero-sum Differential Games and Numerical Methods 1 Constructive Theory of Positional Differential Games and Generalized Solutions of Hamilton-Jacobi Equations/A.I. Subbotin 2 Two-Player, Zero-Sum Differential Games and Viscosity Solutions/P.E. Souganidis 3 Numerical Methods for Pursuit-Evasion Games and Viscosity Solutions/M. Bardi, M. Falcone and P. Soravia 4 Set-Valued Numerical Analysis for Optimal Control and Differential Games/P. Cardaliaguet, M. Quincampoix and P. Saint-Pierre Part II. Stochastic and Nonzero-Sum Games and Applications 5 An Introduction to Gambling Theory and Its Applications to Stochastic Games/A. Maitra and W. Sudderth 6 Discounted Stochastic Games: A Complex Analytic Perspective/S.A. Connell, W.W. Szczechla, J.A. Filar and O.J. Vrieze 7 Nonzero-Sum Stochastic Games/A.S. Nowak and K. Szajowski 8 The Power of Threats in Stochastic Games/F. Thuijsman and O.J. Vrieze 9 A Markov Game Approach for Optimal Routing into a Queueing Network/E. Altman 10 On Linear Complementarity and A Discounted Polystochastic Game/S.R. Mohan, S.K. Neogy and T. ParthasarathyThis new book, organized by editors representing a wide degree of interests in dynamic games, is aimed at control engineers, applied mathematicians, operations research specialists, and research workers.
|Title||:||Stochastic and Differential Games|
|Author||:||Martino Bardi, T.E.S. Raghavan, T. Parthasarathy|
|Publisher||:||Springer Science & Business Media - 1999-06-01|