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9780817643997

Advances in Dynamic Game Theory

by ; ;
  • ISBN13:

    9780817643997

  • ISBN10:

    0817643990

  • Format: Hardcover
  • Copyright: 2007-04-30
  • Publisher: Birkhauser

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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

Prefacep. ix
Contributorsp. xvii
Dynamic Game Theory
Differential Games Through Viability Theory: Old and Recent Resultsp. 3
Differential Games with Impulse Controlp. 37
On the Instability of the Feedback Equilibrium Payoff in a Nonzero-Sum Differential Game on the Linep. 57
Constructing Robust Control in Differential Games: Application to Aircraft Control During Landingp. 69
Games, Incompetence, and Trainingp. 93
Stackelberg Well-Posedness and Hierarchical Potential Gamesp. 111
Stochastic Differential Games
Ergodic Problems in Differential Gamesp. 131
Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffsp. 153
Pursuit-Evasion Games
Geometry of Pursuit-Evasion Games on Two-Dimensional Manifoldsp. 173
Solution of a Linear Pursuit-Evasion Game with Variable Structure and Uncertain Dynamicsp. 195
Pursuit-Evasion Games with Impulsive Dynamicsp. 223
Approaching Coalitions of Evaders on the Averagep. 249
Evolutionary Game Theory and Applications
Adaptive Dynamics Based on Ecological Stabilityp. 271
Adaptive Dynamics, Resource Conversion Efficiency, and Species Diversityp. 287
Evolutionarily Stable Relative Abundance Distributionsp. 305
Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times. 1. Scramble Competitionp. 327
Foraging Under Competition: Evolutionarily Stable Patch-Leaving Strategies with Random Arrival Times 2. Interference Competitionp. 349
Evolution of Corn Oil Sensitivity in the Flour Beetlep. 367
The Evolution of Gut Modulation and Diet Specialization as a Consumer-Resource Gamep. 377
Applications of Dynamic Games to Economics
Time-Consistent Fair Water Sharing Agreementsp. 393
A Hybrid Noncooperative Game Model for Wireless Communicationsp. 411
Incentive-Based Pricing for Network Games with Complete and Incomplete Informationp. 431
Incentive Stackelberg Strategies for a Dynamic Game on Terrorismp. 459
Capital Accumulation, Mergers, and the Ramsey Golden Rulep. 487
Economic Growth and Process Spillovers with Step-by-Step Innovationp. 507
Supplier-Manufacturer Collaboration on New Product Developmentp. 527
A Differential Game of a Dual Distribution Channelp. 547
Design Imitation in the Fashion Industryp. 569
Formulating and Solving Service Network Pricing and Resource Allocation Games as Differential Variational Inequalitiesp. 587
Numerical Methods and Algorithms in Dynamic Games
Numerical Methods for Stochastic Differential Games: The Ergodic Cost Criterionp. 617
Gradient Transformation Trajectory Following Algorithms for Determining Stationary Min-Max Saddle Pointsp. 639
Singular Perturbation Trajectory Following Algorithms for Min-Max Differential Gamesp. 659
Min-Max Guidance Law Integrationp. 679
Agent-Based Simulation of the N-Person Chicken Gamep. 695
The Optimal Trajectory in the Partial-Cooperative Gamep. 705
Table of Contents provided by Ingram. All Rights Reserved.

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