: Steffen Jorgensen, Marc Quincampoix, Thomas L. Vincent
: Advances in Dynamic Game Theory Numerical Methods, Algorithms, and Applications to Ecology and Economics
: Birkhäuser Basel
: 9780817645533
: 1
: CHF 139.30
:
: Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
: English
: 718
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

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 include stochastic and differential games; dynamic games and their applications in various areas, such as ecology and economics; pursuit-evasion games; and evolutionary game theory and applications.

Th 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.

Contents6
Preface10
Contributors18
PART I Dynamic Game Theory24
Differential Games Through Viability Theory: Old and Recent Results25
Differential Games with Impulse Control58
On the Instability of the Feedback Equilibrium Payoff in a Nonzero-Sum Differential Game on the Line77
Constructing Robust Control in Differential Games: Application to Aircraft Control During Landing88
Games, Incompetence, and Training112
StackelbergWell-Posedness and Hierarchical Potential Games130
PART II Stochastic Differential Games148
Ergodic Problems in Differential Games149
Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs171
PART III Pursuit-Evasion Games189
Geometry of Pursuit-Evasion Games on Two-Dimensional Manifolds190
Solution of a Linear Pursuit-Evasion Game with Variable Structure and Uncertain Dynamics212
Pursuit-Evasion Games with Impulsive Dynamics240
Approaching Coalitions of Evaders on the Average265
PART IV Evolutionary Game Theory and Applications285
Adaptive Dynamics Based on Ecological Stability286
Adaptive Dynamics, Resource Conversion Efficiency, and Species Diversity302
Evolutionarily Stable Relative Abundance Distributions319
Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times. 1. Scramble Competition341
Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times 2. Interference Competition363
Evolution of Corn Oil Sensitivity in the Flour Beetle380
The Evolution of Gut Modulation and Diet Specialization as a Consumer-Resource Game390
PART V Applications of Dynamic Games to Economics404
Time-Consistent FairWater Sharing Agreements405
A Hybrid Noncooperative Game Model for Wireless Communications423
Incentive-Based Pricing for Network Games with Complete and Incomplete Information442
Incentive Stackelberg Strategies for a Dynamic Game on Terrorism470
Capital Accumulation, Mergers, and the Ramsey Golden Rule498
Economic Growth and Process Spillovers with Step-by-Step Innovation517
Supplier-Manufacturer Collaboration on New Product Development537
A Differential Game of a Dual Distribution Channel556
Design Imitation in the Fashion Industry578
Formulating and Solving Service Network Pricing and Resource Allocation Games as Differential Variational Inequalities596
PART VI Numerical Methods and Algorithms in Dynamic Games624
Numerical Methods for Stochastic Differential Games: The Ergodic Cost Criterion625
Gradient Transformation Trajectory Following Algorithms for Determining Stationary Min-Max Saddle Points646
Singular Perturbation Trajectory Following Algorithms for Min-Max Differential Games665
Min-Max Guidance Law Integration685
Agent-Based Simulation of the N-Person Chicken Game701
The Optimal Trajectory in the Partial-Cooperative Game710