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 are an outgrowth of presentations from the 11th International Symposium on Dynamic Games and Applications. Key topics covered include stochastic and differential games; dynamic games and their applications in various areas, such as ecology and economics; numerical methods and algorithms in dynamic games; zero- and nonzero-sum games; 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. TOC:Preface.- Contributors.- Stochastic Games.- Differential Games.- Applications of Dynamic Games.- Numerical Methods and Algorithms for Solving Dynamic Games.- Zero-Sum Games.- Pursuit-Evasion Games. The theory of dynamic games continues to evolve, and one purpose of this volume is to report a number of recent theoretical advances in the ?eld, which are covered in Parts I, II and IV. Preface ix Contributors xvii Part I Dynamic Game Theory Differential Games Through Viability Theory: Old and Recent Results 3 Pierre Cardaliaguet, Marc Quincampoix and Patrick Saint-Pierre Differential Games with Impulse Control 37 Arkadii A. Chikrii, Ivan I. Matychyn and Kirill A. Chikrii On the Instability of the Feedback Equilibrium Payoff in a Nonzero-Sum Differential Game on the Line 57 Pierre Cardaliaguet Constructing Robust Control in Differential Games: Application to Aircraft Control During Landing 69 S.A. Ganebny, S.S. Kumkov, V.S. Patsko and S.G Pyatko Games, Incompetence, and Training 93 Justin Beck and Jerzy A. Filar Stackelberg Well-Posedness and Hierarchical Potential Games 111 Marco Margiocco and Lucia Pusillo Part II Stochastic Differential Games Ergodic Problems in Differential Games 131 Olivier Alvarez and Martino Bardi Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs 153 David W.K. Yeung, Leon Petrosyan and Patricia Melody Yeung Part III Pursuit-Evasion Games Geometry of Pursuit-Evasion Games on Two-Dimensional Manifolds 173 Arik Melikyan Solution of a Linear Pursuit-Evasion Game with Variable Structure and Uncertain Dynamics 195 Josef Shinar, Valery Y. Glizer and Vladimir Turetsky Pursuit-Evasion Games with Impulsive Dynamics 223 Eva Cr ck, Marc Quincampoix and Patrick Saint-Pierre Approaching Coalitions of Evaders on the Average 249 Igor Shevchenko Part IV Evolutionary Game Theory and Applications Adaptive Dynamics Based on Ecological Stability 271 J zsef Garay Adaptive Dynamics, Resource Conversion Efficiency, and Species Diversity 287 William A. Mitchell Evolutionarily Stable Relative Abundance Distributions 305 Tania L.S. Vincent and Thomas L. Vincent Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times. 1. Scramble Competition 327 Fr ric Hamelin, Pierre Bernhard, Philippe Nain and ic Wajnberg Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times 2. Interference Competition 349 Fr ric Hamelin, Pierre Bernhard, A. J. Shaiju and ic Wajnberg Evolution of Corn Oil Sensitivity in the Flour Beetle 367 R.C. Rael, T.L. Vincent, R.F. Costantino and J.M. Cushing The Evolution of Gut Modulation and Diet Specialization as a Consumer-Resource Game 377 Christopher J. Whelan, Joel S. Brown and Jason Moll Part V Applications of Dynamic Games to Economics Time-Consistent Fair Water Sharing Agreements 393 Rodney Beard and Stuart McDonald A Hybrid Noncooperative Game Model for Wireless Communications 411 Tansu Alpcan and Tamer Basar Incentive-Based Pricing for Network Games with Complete and Incomplete Information 431 Hongxia Shen and Tamer Basar Incentive Stackelberg Strategies for a Dynamic Game on Terrorism 459 Doris A. Behrens, Jonathan P. Caulkins, Gustav Feichtinger and Gernot Tragler Capital Accumulation, Mergers, and the Ramsey Golden Rule 487 Roberto Cellini and Luca Lambertini Economic Growth and Process Spillovers with Step-by-Step Innovation 507 Shravan Luckraz Supplier-Manufacturer Collaboration on New Product Development 527 Bowon Kim and Fouad El Ouardighi A Differential Game of a Dual Distribution Channel 547 Olivier Rubel and Georges Zaccour Design Imitation in the Fashion Industry 569 Steffen J rgensen and Andrea Di Liddo Formulating and Solving Service Network Pricing and Resource Allocation Games as Differential Variational Inequalities 587 T.L. Friesz, R. Mookherjee and M.A. Rigdon Part VI Numerical Methods and Algorithms in Dynamic Games Numerical Methods for Stochastic Differential Games: The Ergodic Cost Criterion 617 Harold J. Kushner Gradient Transformation Trajectory Following Algorithms for Determining Stationary Min-Max Saddle Points 639 Walter J. Grantham Singular Perturbation Trajectory Following Algorithms for Min-Max Differential Games 659 Dale B. McDonald and Walter J. Grantham Min-Max Guidance Law Integration 679 Stephan Le M c Agent-Based Simulation of the N-Person Chicken Game 695 Miklos N. Szilagyi The Optimal Trajectory in the Partial-Cooperative Game 705 Onik Mikaelyan and Rafik Khachaturyan