Advances in Dynamic Game Theory: Numerical Methods, Algorithms, and Applications to Ecology and Economics / Edition 1

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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:

* shastic 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.

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Product Details

Table of Contents

Preface Contributors Part I. Dynamic Game Theory P. Cardaliaguet, M. Quincampoix, and P. Saint-Pierre: Differential Games Through Viability Theory: Old and Recent Results A. Chikrii, I. Matychyn, and K. Chikrii: Differential Games with Impulse Control P. Cardaliaguet: On the Instability of the Feedback Equilibrium Payoff in a Nonzero-Sum Differential Game on the Line S.A. Ganeby, S.S. Kumkov, V.S. Patsko, and S.G. Pyatko: Constructing Robust Control in Differential Games: Application to Aircraft Control During Landing J. Beck and J.A. Filar: Games, Incompetence, and Training M. Margiocco and L. Pusillo: Stackelberg Well-Posedness and Hierarchical Potential Games Part II. Shastic Differential Games O. Alvaréz and M. Bardi: Ergodic Problems in Differential Games D.W.K. Yeung, L. Petrosyan, and P.M. Yeung: Subgame Consistent Solutions for a Class of Cooperative Shastic Differential Games with Nontransferable Payoffs Part III. Pursuit-Evasion Games A. Melikyan: Geometry of Pursuit-Evasion Games on Two-Dimensional Manifolds J. Shinar, V.Y. Glizer, and V. Turetsky: Solution of a Linear Pursuit-Evasion Game with Variable Structure and Uncertain Dynamics E. Crück, M. Quincampoix, and P. Saint-Pierre: Pursuit-Evasion Games with Impulsive Dynamics I. Shevchenko: Approaching Coalitions of Evaders on the Average Part IV. Evolutionary Game Theory and Applications J. Garay: Adaptive Dynamics Based on Ecological Stability W.A. Mitchell: Adaptive Dynamics, Resource Conversion Efficiency and Species Diversity T.L.S. Vincent and T.L. Vincent: Evolutionary Stable Relative Abundance Distributions F. Hamelin, P. Bernhard, P. Nain, and E.Wajnberg: Foraging under Competition: Evolutionary Stable Patch-Leaving Strategies with Random Arrival Times. 1. Scramble Competition F. Hamelin, P. Bernhard, A.J. Shaiju, and E. Wajnberg: Foraging under Competition: Evolutionary Stable Patch-Leaving Strategies with Random Arrival Times. 2. Interference Competition R.C. Rael, T.L. Vincent, R.F. Costantino, and J.M. Cushing: Evolution of Corn Oil Sensitivity in the Flour Beetle C.J. Whelan, J.S. Brown, and J. Moll: The Evolution of Gut Modulation and Diet Specialization as a Consumer-Resource Game Part V. Applications of Dynamic Games to Economics R. Beard and S. McDonald: Time-Consistent Fair Water Sharing Agreements T. Alpcan and T. Basar: A Hybrid Noncooperative Game Model for Wireless Communications H. Shen and T. Basar: Incentive-Based Pricing for Network Games with Complete and Incomplete Information D.A. Behrens, J.P. Caulkins, G. Feichtinger, and G. Tragler: Incentive Stackelberg Strategies for a Dynamic Game on Terrorism R. Cellini and L. Lambertini: Capital Accumulation, Mergers, and the Ramsey Golden Rule S. Luckraz: Economic Growth and Process Spillovers with Step-by-Step Innovation B. Kim and F. El Ouardighi: Supplier-Manufacturer Collaboration on New Product Development O. Rubel and G. Zaccour: A Differential Game of a Dual Distribution Channel S. Jørgensen and A. Di Liddo: Design Imitation in the Fashion Industry T.L. Friesz, R. Mookherjee, and M.A. Rigdon: Formulating and Solving Service Network Pricing and Resource Allocation Games as Differential Variational Inequalities Part VI. Numerical Methods and Algorithms in Dynamic Games H.J. Kushner: Numerical Methods for Shastic Differential Games: The

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