Advances in Dynamic Games: Theory, Applications, and Numerical Methods for Differential and Stochastic Games

✍ Scribed by David M. Ramsey (auth.), Pierre Cardaliaguet, Ross Cressman (eds.)

• Publisher: Birkhäuser Basel
• Year: 2013
• Tongue: English
• Leaves: 420
• Series: Annals of the International Society of Dynamic Games 12
• Edition: 1
• Category: Library

✦ Synopsis

This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving 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 14th International Symposium of Dynamic Games and Applications held in Banff.

Advances in Dynamic Games covers a variety of topics, ranging from evolutionary games, theoretical developments in game theory and algorithmic methods to applications, examples, and analysis in fields as varied as mathematical biology, environmental management, finance and economics, engineering, guidance and control, and social interaction. Featured throughout are valuable tools and resources for researchers, practitioners, and graduate students interested in dynamic games and their applications to mathematics, engineering, economics, and management science.​

✦ Table of Contents

Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Some Generalizations of a Mutual Mate Choice Problem with Age Preferences....Pages 3-24
Signalling Victory to Ensure Dominance: A Continuous Model....Pages 25-38
Evolutionary Games for Multiple Access Control....Pages 39-71
Join Forces or Cheat: Evolutionary Analysis of a Consumer–Resource System....Pages 73-95
Front Matter....Pages 97-97
Strong Strategic Support of Cooperative Solutions in Differential Games....Pages 99-107
Characterization of Feedback Nash Equilibrium for Differential Games....Pages 109-125
Nash Equilibrium Payoffs in Mixed Strategies....Pages 127-159
A Penalty Method Approach for Open-Loop Variational Games with Equality Constraints....Pages 161-178
Nash Equilibrium Seeking for Dynamic Systems with Non-quadratic Payoffs....Pages 179-198
A Uniform Tauberian Theorem in Optimal Control....Pages 199-215
E-Equilibria for Multicriteria Games....Pages 217-228
Mean Field Games with a Quadratic Hamiltonian: A Constructive Scheme....Pages 229-241
Front Matter....Pages 243-243
Differential Game-Theoretic Approach to a Spatial Jamming Problem....Pages 245-268
Study of Linear Game with Two Pursuers and One Evader: Different Strength of Pursuers....Pages 269-292
Salvo Enhanced No Escape Zone....Pages 293-313
A Method of Solving Differential Games Under Integrally Constrained Controls....Pages 315-325
Anglers’ Fishing Problem....Pages 327-349
A Nonzero-Sum Search Game with Two Competitive Searchers and a Target....Pages 351-373
Front Matter....Pages 375-375
Advertising and Price to Sustain The Brand Value in a Licensing Contract....Pages 377-394
Cost–Revenue Sharing in a Closed-Loop Supply Chain....Pages 395-421

✦ Subjects

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