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

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Steffen Jorgensen, Marc Quincampoix, Thomas L. Vincent
Springer Science & Business Media, Apr 13, 2007 - Mathematics - 718 pages
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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.
 

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Contents

Old and Recent Results
3
Pierre Cardaliaguet Marc Quincampoix and Patrick SaintPierre
36
Arkadii A Chikrii Ivan I Matychyn and Kirill A Chikrii
57
Games Incompetence and Training
93
Justin Beck and Jerzy A Filar
111
Ergodic Problems in Differential Games
131
Stochastic Differential Games with Nontransferable Payoffs David W K Yeung Leon Petrosyan and Patricia Melody Yeung
153
Geometry of PursuitEvasion Games on TwoDimensional Manifolds 173
172
TimeConsistent Fair Water Sharing Agreements
393
Rodney Beard and Stuart McDonald
411
Tansu Alpcan and Tamer Basar
430
Hongxia Shen and Tamer Basar
459
Capital Accumulation Mergers and the Ramsey Golden Rule
487
Roberto Cellini and Luca Lambertini
507
SupplierManufacturer Collaboration on New Product Development
527
Bowon Kim and Fouad El Ouardighi
546

Solution of a Linear PursuitEvasion Game
195
PursuitEvasion Games with Impulsive Dynamics Eva Crück Marc Quincampoix and Patrick SaintPierre
223
Approaching Coalitions of Evaders on the Average Igor Shevchenko
249
Adaptive Dynamics Based on Ecological Stability József Garay 271
270
Adaptive Dynamics Resource Conversion Efficiency
287
Evolutionarily Stable Relative Abundance Distributions Tania L S Vincent and Thomas L Vincent
305
Evolutionarily Stable PatchLeaving
327
Strategies with Random Arrival Times 2 Interference Competition Frédéric Hamelin Pierre Bernhard A J Shaiju and Éric Wajnberg
349
as a ConsumerResource Game
377
Design Imitation in the Fashion Industry
569
Steffen Jřrgensen and Andrea Di Liddo
587
Gradient Transformation Trajectory Following Algorithms
638
Singular Perturbation Trajectory Following Algorithms
659
MinMax Guidance Law Integration
679
AgentBased Simulation of the NPerson Chicken Game
695
The Optimal Trajectory in the PartialCooperative Game 705
704
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