Advances in Dynamic Games and Their Applications - Annals of the International Society of Dynamic Games

Marc Notes: Based on the 12th International Symposium on Dynamic Games.; Includes bibliographical references. Jacket Description/Back: This book an outgrowth of the 12th International Symposium on Dynamic Games presents current advances in the theory of dynamic games and their applications in several disciplines. The selected contributions cover a variety of topics ranging from purely theoretical developments in game theory, to numerical analysis of various dynamic games, and then progressing to applications of dynamic games in economics, finance, and energy supply. Thematically organized into eight parts, the book covers key topics in these main areas: * theoretical developments in general dynamic and differential games * pursuit-evasion games * numerical approaches to dynamic and differential games * applications of dynamic games in economics and option pricing * search games * evolutionary games * stopping games * stochastic games and "large neighborhood" games A unified collection of state-of-the-art advances in theoretical and numerical analysis of dynamic games and their applications, the work is suitable for researchers, practitioners, and graduate students in applied mathematics, engineering, economics, as well as environmental and management sciences."Table of Contents: Preface -- Contributors -- Part I. Dynamic-Differential Games: Theoretical Developments -- On Differential Games with Long-Time-Average Cost / Martino Bardi -- Fields of Extremals and Sufficient Conditions for a Class of Variational Games / Dean Carlson -- Linear Quadratic Differential Games: An Overview / Jacob Engwerda -- A Neumann Boundary Control for Multidimensional Parabolic Minmax Control Problems / Andrzej Nowakowski -- Non-Cooperative and Semi-Cooperative Differential Games / Wen Shen -- Part II. Pursuit-Evasion (P-E) Games -- Some Geometrical Properties of the Phase Space Structure in Games on Manifolds / Andrei Akhmetzhanov -- Strategies for Alternative Pursuit Games / Igor Shevchenko -- Some Sufficient Conditions for Multi-Player Pursuit-Evasion Games with Continuous and Discrete Observations / Du&scheck;an M. Stipanović, Arik Melikyan, Naira Hovakimyan -- Part III. Numerical Approaches to Dynamic-Differential Games -- A Numerical Approach to the 'Princess and Monster' Game on an Interval / Steve Alpern, Robbert Fokkink, Roy Lindelauf, Geert Jan Olsder -- Numerical Approximation and Optimal Strategies for Differential Games with Lack of Information on One Side / Pierre Cardaliaguet -- Fully-Discrete Schemes for the Value Function of Pursuit-Evasion Games with State Constraints / Emiliano Cristiani, Maurizio Falcone -- Numerical Solution of the Game of Two Cars with a Neurosimulator and Grid Computing / Hans-J&oumlet;rg von Mettenheim, Michael H. Breitner -- Numerical Investigation of the Value Function for the Homicidal Chauffeur Problem with a More Agile Pursuer / Valerii S. Patsko, Varvara L. Turova -- Part IV. Applications -- Credible Linear-Incentive Equilibrium Strategies in Linear-Quadratic Differential Games / Guiomar Martin-Herran, Georges Zaccour -- Robust Control Approach to Digital Option Pricing: Synthesis Approach / Stephane Thiery, Pierre Bernhard, Geert Jan Olsder -- Part V. Search Games -- A Search Game with a Strategy of Energy Supply for Target / Ryusuke Hohzaki, Keiko Ikeda -- The LQG Game Against Nature / Meir Pachter -- Part VI. Evolutionary Games -- Is Deterrence Evolutionarily Stable? / David Ellison, Michel Rudnianski -- Evolutionarily Robust Strategies: Two Nontrivial Examples and a Theorem / A. J. Shaiju, Pierre Bernhard -- Part VII. Stopping Games -- Nash Equilibrium in a Game Version of the Elfving Problem / Elzbieta Z. Ferenstein, Anna Krasnosielska -- Cooperative Strategies in Stopping Games / David Ramsey, Diana Cierpiat -- Part VIII. Stochastic Games and Large Neighborhood Games -- Pure Equilibrium Strategies for Stochastic Games via Potential Functions / Jos A. M. Potters, T. E. S. Raghavan, Stef H. Tijs -- Fibonacci Numbers and Equilibria in Large Neighborhood Games / Andrzej Wieczorek. Publisher Marketing: This text presents advances in the theory of dynamic games and their applications in several disciplines. The selected contributions cover a variety of topics ranging from purely theoretical developments in game theory to numerical analysis of various dynamic games.