Advances in Dynamic Game Theory

This collection of selected contributions gives an account of recent developments in dynamic game theory and its applications, covering both theoretical advances and new applications of dynamic games in such areas as pursuit-evasion games, ecology, and economics. Written by experts in their respective disciplines, the chapters include stochastic and differential games; dynamic games and their applications in various areas, such as ecology and economics; pursuit-evasion games; and evolutionary game theory and applications.

The work will serve as a state-of-the art account of recent advances in dynamic game theory and its applications for researchers, practitioners, and advanced students in applied mathematics, mathematical finance, and engineering.

Collection of selected contributions giving a state-of-the-art account of recent developments in dynamic game theory and its applications Covers a broad range of topics: stochastic and differential games; applications of dynamic games in various areas, such as ecology and economics; zero- and non-zero games; and pursuit-evasion games Written by experts in their respective disciplines Broad audience of researchers, practitioners, and advanced graduate students in applied mathematics and engineering

Auteur
Thomas L. Vincent is Professor Emeritus with the Aerospace and Mechanical Engineering at the University of Arizona. His main research interests are in the area of Nonlinear Control System Design, Optimal Control and Game Theory, and Evolution and Adaptation of Biological Systems. He has numerous publications and books.

Contenu
Dynamic Game Theory.- Differential Games Through Viability Theory: Old and Recent Results.- Differential Games with Impulse Control.- On the Instability of the Feedback Equilibrium Payoff in a Nonzero-Sum Differential Game on the Line.- Application to Aircraft Control During Landing.- Games, Incompetence, and Training.- StackelbergWell-Posedness and Hierarchical Potential Games.- Stochastic Differential Games.- Ergodic Problems in Differential Games.- Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs.- Pursuit-Evasion Games.- Geometry of Pursuit-Evasion Games on Two-Dimensional Manifolds.- Solution of a Linear Pursuit-Evasion Game with Variable Structure and Uncertain Dynamics.- Pursuit-Evasion Games with Impulsive Dynamics.- Approaching Coalitions of Evaders on the Average.- Evolutionary Game Theory and Applications.- Adaptive Dynamics Based on Ecological Stability.- Adaptive Dynamics, Resource Conversion Efficiency, and Species Diversity.- Evolutionarily Stable Relative Abundance Distributions.- Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times..- Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times.- Evolution of Corn Oil Sensitivity in the Flour Beetle.- The Evolution of Gut Modulation and Diet Specialization as a Consumer-Resource Game.- Applications of Dynamic Games to Economics.- Time-Consistent Fair Water Sharing Agreements.- A Hybrid Noncooperative Game Model for Wireless Communications.- Incentive-Based Pricing for Network Games with Complete and Incomplete Information.- Incentive Stackelberg Strategies for a Dynamic Game on Terrorism.- Capital Accumulation, Mergers, and the Ramsey Golden Rule.- Economic Growth and Process Spillovers with Step-by-Step Innovation.- Supplier-Manufacturer Collaboration onNew Product Development.- A Differential Game of a Dual Distribution Channel.- Design Imitation in the Fashion Industry.- Formulating and Solving Service Network Pricing and Resource Allocation Games as Differential Variational Inequalities.- Numerical Methods and Algorithms in Dynamic Games.- Numerical Methods for Stochastic Differential Games: The Ergodic Cost Criterion.- Gradient Transformation Trajectory Following Algorithms for Determining Stationary Min-Max Saddle Points.- Singular Perturbation Trajectory Following Algorithms for Min-Max Differential Games.- Min-Max Guidance Law Integration.- Agent-Based Simulation of the N-Person Chicken Game.- The Optimal Trajectory in the Partial-Cooperative Game.