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

Focuses on various aspects of dynamic game theory. This book features useful tools for researchers and practitioners who use game theory for modeling in many disciplines. It covers topics: repeated and stochastic games; differential dynamic games; optimal stopping games; and applications of dynamic games to economics, finance, and queuing theory.

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. A valuable reference for researchers and practitioners in dynamic game theory, it covers a broad range of topics and applications, including repeated and stochastic games, differential dynamic games, optimal stopping games, and numerical methods and algorithms for solving dynamic games. The diverse topics included will also benefit researchers and graduate students in applied mathematics, economics, engineering, systems and control, and environmental science.

Preface
Contributors
Part I. Repeated and Stochastic Games
Information and the Existence of Stationary Markovian Equilibrium / Ioannis Karatzas, Martin Shubik, and William D. Sudderth
Markov Games under a Geometric Drift Condition / Heinz-Uwe Kuenle
A Simple Two-Person Stochastic Game with Money / Piercesare Secchi and William D. Sudderth
New Approaches and Recent Advances in Two-Person Zero-Sum Repeated Games / Sylvain Sorin
Notes on Risk-Sensitive Nash Equilibria / Andrzej S. Nowak
Continuous Convex Stochastic Games of Capital Accumulation / Piotr Wiecek
Part II. Differential Dynamic Games
Dynamical Core of Fuzzy Dynamical Cooperative Games / Jean-Pierre Aubin
Normalized Overtaking Nash Equilibrium for a Class of Distributed Parameter Dynamic Games / Dean A. Carlson
Cooperative Differential Games / Leon A. Petrosjan
Part III. Stopping Games
Selection by Committee / Thomas S. Ferguson
Stopping Game Problem for Dynamic Fuzzy Systems / Yuji Yoshida, Masami Yasuda, Masami Kurano, and Jun-ichi Nakagami
On Randomized Stopping Games / Elzbieta Z. Ferenstein
Stopping Games -- Recent Results / Eilon Solan and Nicolas Vieille
Dynkin's Games with Randomized Optimal Stopping Rules / Victor Domansky
Modified Strategies in a Competitive Best Choice Problem with Random Priority / Zdzislaw Porosinski
Bilateral Approach to the Secretary Problem / David Ramsey and Krzysztof Szajowski
Optimal Stopping Games where Players have Weighted Privilege / Minoru Sakaguchi
Equilibrium in an Arbitration Procedure / Vladimir V. Mazalov and Anatoliy A. Zabelin
Part IV. Applications of Dynamic Games to Economics, Finance and Queuing Theory
Applications of Dynamic Games in Queues / Eitan Altman
Equilibria for Multiclass Routing Problems in Multi-Agent Networks / Eitan Altman and Hisao Kameda
Endogenous Shocks and Evolutionary Strategy: Application to a Three-Players Game / Ekkehard C. Ernst, Bruno Amable and Stefano Palombarini
Robust Control Approach to Option Pricing, Including Transaction Costs / Pierre Bernhard
S-Adapted Equilibria in Games Played over Event Trees: An Overview / Alain Haurie and Georges Zaccour
Existence of Nash Equilibria in Endogenous Rent-Seeking Games / Koji Okuguchi
A Dynamic Game with Continuum of Players and its Counterpart with Finitely Many Players / Agnieszka Wiszniewska-Matyszkiel
Part V. Numerical Methods and Algorithms for Solving Dynamics Games
Distributed Algorithms for Nash Equilibria of Flow Control Games / Tansu Alpcan and Tamer Basar
A Taylor Series Expansion of H-infinity Control of Perturbed Markov Jump Linear Systems / Rachid El Azouzi, Eitan Altman and Mohammed Abbad
Advances in Parallel Algorithms for the Isaacs Equation / Maurizio Falcone and Paolo Stefani
Numerical Algorithm for Cross-Coupled Algebraic Riccati Equations of Singularly Perturbed Systems / Hiroaki Mukaidani, Hua Xu and Koichi Mizukami
Equilibrium Selection via Adaptation: Using Genetic Programming to Model Learning in a Coordination Game / Shu-Heng Chen, John Duffy and Chia-Hsuan Yeh
Part VI. Parrondo's Games and Related Topics
State-Space Visualization and Fractal Properties of Parrondo's Games / Andrew Allison, Derek Abbott and Charles Pearce
Parrondo's Capital and History-Dependent Games / Gregory P. Harmer, Derek Abbott and Juan M. R. Parrondo
Introduction to Quantum Games and a Quantum Parrondo Game / Joseph Ng and Derek Abbott
A Semi-quantum Version of the Game of Life / Adrian P. Flitney and Derek Abbott