An outgrowth of the 12th International Symposium on Dynamic Games. This title presents advances in the theory of dynamic games and their applications in several disciplines. It is suitable for researchers, practitioners, and graduate students in applied mathematics, engineering, economics, and environmental and management sciences.

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 such as: 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.

PrefaceList of ContributorsPart I. Dynamic-Differential Games: Theoretical DevelopmentsOn Differential Games with Long-Time-Average Cost / Martino BardiFields of Extremals and Sufficient Conditions for a Class of Variational Games / Dean CarlsonLinear Quadratic Differential Games: An Overview / Jacob EngwerdaA Neumann Boundary Control for Multidimensional Parabolic "Minmax" Control Problems / Andrzej NowakowskiNon-Cooperative and Semi-Cooperative Differential Games / Wen ShenPart II. Pursuit-Evasion (P-E) GamesSome Geometrical Properties of the Phase Space Structure in Games on Manifolds / Andrei AkhmetzhanovStrategies for Alternative Pursuit Games / Igor ShevchenkoSome Sufficient Conditions for Multi-Player Pursuit-Evasion Games with Continuous adn Discrete Observations / D. M. Stipanovic, A. Melikyan, and N. HovakimyanPart III. Numerical Approaches to Dynamic-Differential GamesA Numerical Approach to the 'Princess and Monster' Game on an Interval / S. Alpern, R. Fokkink, R. Lindelauf, and G. J. OlsderNumerical Approximation and Optimal Strategies for Differential Games with Lack of Information on One Side / Pierre CardaliaguetFully-Discrete Schemes for the Value Function of Pursuit-Evasion Games with State Constraints / E. Cristiani and M. FalconeNumerical Solution of the Game of Two Cars with a Neurosimulator and Grid Computing / H.-J. v. Mettenheim and M. H. BreitnerNumerical Investigation of the Value Function for the Homicidal Chauffeur Problem with a More Agile Pursuer / V. S. Patsko and V. L. TurovaPart IV. ApplicationsCredible Linear-Incentive Equilibrium Strategies in Linear-Quadratic Differential Games / G. Martin-Herran and G. ZaccourRobust Control Approach to Digital Option Pricing: Synthesis Approach / S. Thiery, P. Bernhard, and G. J. OlsderPart V. Search GamesA Search Game with a Strategy of Energy Supply for Target / R. Hohzaki and K. IkedaThe LQG Game Against Nature / Meir PachterPart VI. Evolutionary GamesIs Deterrence Evolutionarily Stable? / D. Ellison adn M. RudnianskiEvolutionarily Robust Strategies: Two Nontrivial Examples and a Theorem / A. J. Shaiju and P. BernhardPart VII. Stopping GamesNash Equilibrium in a Game Version of Elfving Problem / E. Z. Ferenstein adn A. KrasnosielskaCooperative Strategies in Stopping Games / D. Ramsey and D. CierpialPart VIII. Stochastic Games and Large "Neighbourhood" GamesPure Equilibrium Strategies for Stochastic Games via Potential Functions / J. A. M. Potters, T. E. S. Raghavan, and S. H. TijsFibonacci Numbers and Equilibria in Large "Neighborhood" Games / Andrzej Wieczorek