Advances in Dynamic Game Theory: Numerical Methods, Algorithms, and Applications to Ecology and Economics (Annals of the International Society of Dynamic Games Book 9)

Gives an account of developments in dynamic game theory and its applications, covering both theoretical advances and applications of dynamic games in areas such as pursuit-evasion games, ecology, and economics. This book includes chapters on topics such as stochastic and differential games, dynamic games and their applications, and others. 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 Front Matter....Pages i-xxii Front Matter....Pages 1-1 Differential Games Through Viability Theory: Old and Recent Results....Pages 3-35 Differential Games with Impulse Control....Pages 37-55 On the Instability of the Feedback Equilibrium Payoff in a Nonzero-Sum Differential Game on the Line....Pages 57-67 Application to Aircraft Control During Landing....Pages 69-92 Games, Incompetence, and Training....Pages 93-110 StackelbergWell-Posedness and Hierarchical Potential Games....Pages 111-128 Front Matter....Pages 129-129 Ergodic Problems in Differential Games....Pages 131-152 Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs....Pages 153-170 Front Matter....Pages 170-170 Geometry of Pursuit-Evasion Games on Two-Dimensional Manifolds....Pages 173-194 Solution of a Linear Pursuit-Evasion Game with Variable Structure and Uncertain Dynamics....Pages 195-222 Pursuit-Evasion Games with Impulsive Dynamics....Pages 223-247 Approaching Coalitions of Evaders on the Average....Pages 249-268 Front Matter....Pages 269-269 Adaptive Dynamics Based on Ecological Stability....Pages 271-286 Adaptive Dynamics, Resource Conversion Efficiency, and Species Diversity....Pages 287-303 Evolutionarily Stable Relative Abundance Distributions....Pages 305-326 Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times.....Pages 327-348 Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times....Pages 349-365 Evolution of Corn Oil Sensitivity in the Flour Beetle....Pages 367-376 The Evolution of Gut Modulation and Diet Specialization as a Consumer-Resource Game....Pages 377-390 Front Matter....Pages 391-391 Time-Consistent Fair Water Sharing Agreements....Pages 393-410 Front Matter....Pages 391-391 A Hybrid Noncooperative Game Model for Wireless Communications....Pages 411-429 Incentive-Based Pricing for Network Games with Complete and Incomplete Information....Pages 431-458 Incentive Stackelberg Strategies for a Dynamic Game on Terrorism....Pages 459-486 Capital Accumulation, Mergers, and the Ramsey Golden Rule....Pages 487-505 Economic Growth and Process Spillovers with Step-by-Step Innovation....Pages 507-526 Supplier-Manufacturer Collaboration onNew Product Development....Pages 527-545 A Differential Game of a Dual Distribution Channel....Pages 547-568 Design Imitation in the Fashion Industry....Pages 569-586 Formulating and Solving Service Network Pricing and Resource Allocation Games as Differential Variational Inequalities....Pages 587-614 Front Matter....Pages 615-615 Numerical Methods for Stochastic Differential Games: The Ergodic Cost Criterion....Pages 617-637 Gradient Transformation Trajectory Following Algorithms for Determining Stationary Min-Max Saddle Points....Pages 639-657 Singular Perturbation Trajectory Following Algorithms for Min-Max Differential Games....Pages 659-678 Min-Max Guidance Law Integration....Pages 679-694 Agent-Based Simulation of the N -Person Chicken Game....Pages 696-703 The Optimal Trajectory in the Partial-Cooperative Game....Pages 705-717 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. Another aim of this work is to present some new applications of dynamic games in various areas, including pursuit-evasion games (Part III), ecology (Part IV), and economics (Part V). The volume concludes with a number of contributions in the ?eld of numerical methods and algorithms in dynamic games (Part VI). With a single exception, the contributions of this volume are outgrowths of talks that were presented at the Eleventh International Symposium on Dynamic Games and Applications, held in Tucson, Arizona, USA, in December 2004, and organized by the International Society of Dynamic Games. The symposium was co-sponsored by the University of Arizona, College of Engineering and Aerospace and Mechanical Engineering, as well as GERAD, Montréal, Canada, and the ISDG Organizing Society. The volume contains thirty-?ve chapters that have been peer-reviewed according to the standards of international journals in game theory and applications. Part I deals with the theory of dynamic games and contains six chapters. Cardaliaguet, Quincampoix, and Saint-Pierre provide a survey of the state-- the-art of the use of viability theory in the formulation and analysis of differential games, in particular zero-sum games. An important result of viability theory is that many zero-sum differential games can be formulated as viability problems.

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

* 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.