Advances in Dynamic Games: Applications to Economics, Finance, Optimization, and Stochastic Control

by Andrzej S. Nowak (Editor), Krzysztof Szajowski (Editor)

Overview

This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a guide to the vitality and growth of the field and its applications. The selected chapters, written by experts in their respective disciplines, are an outgrowth of presentations originally given at the 9^th International Symposium of Dynamic Games and Applications. Featured throughout are useful tools for researchers and practitioners who use game theory for modeling in many disciplines.

Major topics covered include:

* repeated and shastic games

* differential dynamic games

* optimal stopping games

* applications of dynamic games to economics, finance, and queuing theory

* numerical methods and algorithms for solving dynamic games

* Parrondo’s games and related topics

A valuable reference for practitioners and researchers in dynamic game theory, the book and its diverse applications will also benefit researchers and graduate students in applied mathematics, economics, engineering, systems and control, and environmental science.

Product Details

ISBN-13:	9780817643621
Publisher:	Birkhäuser Boston
Publication date:	12/07/2004
Series:	Annals of the International Society of Dynamic Games , #7
Edition description:	2005
Pages:	679
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

Repeated and Shastic Games.- Information and the Existence of Stationary Markovian Equilibrium.- Markov Games under a Geometric Drift Condition.- A Simple Two-Person Shastic Game with Money.- New Approaches and Recent Advances in Two-Person Zero-Sum Repeated Games.- Notes on Risk-Sensitive Nash Equilibria.- Continuous Convex Shastic Games of Capital Accumulation.- Differential Dynamic Games.- Dynamic Core of Fuzzy Dynamical Cooperative Games.- Normalized Overtaking Nash Equilibrium for a Class of Distributed Parameter Dynamic Games.- Cooperative Differential Games.- Stopping Games.- Selection by Committee.- Stopping Game Problem for Dynamic Fuzzy Systems.- On Randomized Stopping Games.- Stopping Games — Recent Results.- Dynkin’s Games with Randomized Optimal Stopping Rules.- Modified Strategies in a Competitive Best Choice Problem with Random Priority.- Bilateral Approach to the Secretary Problem.- Optimal Stopping Games where Players have Weighted Privilege.- Equilibrium in an Arbitration Procedure.- Applications of Dynamic Games to Economics, Finance and Queuing Theory.- Applications of Dynamic Games in Queues.- Equilibria for Multiclass Routing Problems in Multi-Agent Networks.- Endogenous Shocks and Evolutionary Strategy: Application to a Three-Players Game.- Robust Control Approach to Option Pricing, Including Transaction Costs.- S-Adapted Equilibria in Games Played over Event Trees: An Overview.- Existence of Nash Equilibria in Endogenous Rent-Seeking Games.- A Dynamic Game with Continuum of Players and its Counterpart with Finitely Many Players.- Numerical Methods and Algorithms for Solving Dynamic Games.- Distributed Algorithms for Nash Equilibria of Flow Control Games.- A Taylor Series Expansion for H— Control of Perturbed Markov Jump LinearSystems.- Advances in Parallel Algorithms for the Isaacs Equation.- Numerical Algorithm for Solving Cross-Coupled Algebraic Riccati Equations of Singularly Perturbed Systems.- Equilibrium Selection via Adaptation: Using Genetic Programming to Model Learning in a Coordination Game.- Two Issues Surrounding Parrondo’s Paradox.- Parrondo’s Games and Related Topics.- State-Space Visualization and Fractal Properties of Parrondo’s Games.- Parrondo’s Capital and History-Dependent Games.- to Quantum Games and a Quantum Parrondo Game.- A Semi-quantum Version of the Game of Life.