Advances in Dynamic Game Theory

by Jørgensen, Steffen; Quincampoix, Marc; Vincent, Thomas

• ISBN13: 9780817643997
• ISBN10: 0817643990
• Format: Hardcover
• Copyright: 2007-04-30
• Publisher: Birkhauser

Summary

This collection of selected contributions gives an account of recent developments in dynamic game theory and its applications, covering a broad range of topics. 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 * applications of dynamic games in various areas, such as economics, marketing, and finance * numerical methods and algorithms for solving dynamic games * zero-sum and pursuit-evasion games 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 graduate students in applied mathematics and engineering.

Table of Contents

Preface	p. ix
Contributors	p. xvii
Dynamic Game Theory
Differential Games Through Viability Theory: Old and Recent Results	p. 3
Differential Games with Impulse Control	p. 37
On the Instability of the Feedback Equilibrium Payoff in a Nonzero-Sum Differential Game on the Line	p. 57
Constructing Robust Control in Differential Games: Application to Aircraft Control During Landing	p. 69
Games, Incompetence, and Training	p. 93
Stackelberg Well-Posedness and Hierarchical Potential Games	p. 111
Stochastic Differential Games
Ergodic Problems in Differential Games	p. 131
Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs	p. 153
Pursuit-Evasion Games
Geometry of Pursuit-Evasion Games on Two-Dimensional Manifolds	p. 173
Solution of a Linear Pursuit-Evasion Game with Variable Structure and Uncertain Dynamics	p. 195
Pursuit-Evasion Games with Impulsive Dynamics	p. 223
Approaching Coalitions of Evaders on the Average	p. 249
Evolutionary Game Theory and Applications
Adaptive Dynamics Based on Ecological Stability	p. 271
Adaptive Dynamics, Resource Conversion Efficiency, and Species Diversity	p. 287
Evolutionarily Stable Relative Abundance Distributions	p. 305
Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times. 1. Scramble Competition	p. 327
Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times 2. Interference Competition	p. 349
Evolution of Corn Oil Sensitivity in the Flour Beetle	p. 367
The Evolution of Gut Modulation and Diet Specialization as a Consumer-Resource Game	p. 377
Applications of Dynamic Games to Economics
Time-Consistent Fair Water Sharing Agreements	p. 393
A Hybrid Noncooperative Game Model for Wireless Communications	p. 411
Incentive-Based Pricing for Network Games with Complete and Incomplete Information	p. 431
Incentive Stackelberg Strategies for a Dynamic Game on Terrorism	p. 459
Capital Accumulation, Mergers, and the Ramsey Golden Rule	p. 487
Economic Growth and Process Spillovers with Step-by-Step Innovation	p. 507
Supplier-Manufacturer Collaboration on New Product Development	p. 527
A Differential Game of a Dual Distribution Channel	p. 547
Design Imitation in the Fashion Industry	p. 569
Formulating and Solving Service Network Pricing and Resource Allocation Games as Differential Variational Inequalities	p. 587
Numerical Methods and Algorithms in Dynamic Games
Numerical Methods for Stochastic Differential Games: The Ergodic Cost Criterion	p. 617
Gradient Transformation Trajectory Following Algorithms for Determining Stationary Min-Max Saddle Points	p. 639
Singular Perturbation Trajectory Following Algorithms for Min-Max Differential Games	p. 659
Min-Max Guidance Law Integration	p. 679
Agent-Based Simulation of the N-Person Chicken Game	p. 695
The Optimal Trajectory in the Partial-Cooperative Game	p. 705
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