Advances in Dynamic Games: Theory, Applications, and Numerical Methods

✍ Scribed by Ari Arapostathis, Vivek S. Borkar, K. Suresh Kumar (auth.), Vlastimil Křivan, Georges Zaccour (eds.)

• Publisher: Birkhäuser Basel
• Year: 2013
• Tongue: English
• Leaves: 354
• Series: Annals of the International Society of Dynamic Games 13
• Edition: 1
• Category: Library

✦ Synopsis

This contributed volume focuses on aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. It covers theoretical developments, algorithmic methods, and applications to fields as varied as mathematical biology, environmental management, economics, engineering, guidance and control, and social interaction. It will be of interest to an interdisciplinary audience of researchers, practitioners, and advanced graduate students.

Advances in Dynamic Games presents state-of-the-art research that serves as a testament to the vitality and growth of the field of dynamic games and their applications. Its contributions, written by experts in their respective disciplines, are outgrowths of presentations originally given at the 15th International Symposium of Dynamic Games and Applications held July 19–22, 2012, in Byšice, Czech Republic.

✦ Table of Contents

Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Relative Value Iteration for Stochastic Differential Games....Pages 3-27
OPTGAME3: A Dynamic Game Solver and an Economic Example....Pages 29-51
Dynamic Programming Approach to Aircraft Control in a Windshear....Pages 53-69
Existence of Optimal Controls for a Bi-Level Optimal Control Problem....Pages 71-84
Static Linear-Quadratic Gaussian Games....Pages 85-105
Interior Convergence Under Payoff Monotone Selections and Proper Equilibrium: Application to Equilibrium Selection....Pages 107-121
Front Matter....Pages 123-123
Should a Retailer Support a Quality Improvements Strategy?....Pages 125-148
A Large Population Parental Care Game with Asynchronous Moves....Pages 149-171
Conditions for Cooperation and Trading in Value-Cost Dynamic Games....Pages 173-203
Intra-seasonal Strategies Based on Energy Budgets in a Dynamic Predator–Prey Game....Pages 205-222
On a Game-Theoretic Model of Environmental Pollution Problem....Pages 223-236
Front Matter....Pages 237-237
Open-Loop Solvability Operator in Differential Games with Simple Motions in the Plane....Pages 239-262
Game with Two Pursuers and One Evader: Case of Weak Pursuers....Pages 263-293
Collaborative Interception of Moving Re-locatable Target....Pages 295-312
The Effect of Pursuer Dynamics on the Value of Linear Pursuit-Evasion Games with Bounded Controls....Pages 313-350

✦ Subjects

Game Theory, Economics, Social and Behav. Sciences; Game Theory/Mathematical Methods; Appl.Mathematics/Computational Methods of Engineering