Advances in Dynamic Games and Applications

1. Front Matter

   Pages i-xi

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2. Dynamic Games: Theory

   1. Front Matter

      Pages 1-1

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   2. On Problems with Information in Some Games: Modelling the Strategies in Some Dynamic Games

      • Tadeusz Radzik, Alan J. Goldman

      Pages 3-18

   3. A Historical Perspective on Cooperative Differential Games

      • Alain Haurie

      Pages 19-29

   4. Certainty Equivalence Principle and Minimax Team Problems

      • Pierre Bernhard, Naira Hovakimyan

      Pages 31-44

   5. Evolutionary Processes in Signaling Games: The Impact of Different Learning Schemes

      • Gisèle Umbhauer

      Pages 45-63

   6. Mixed Strategies for Hierarchical Zero-Sum Games

      • Lina Mallozzi, Jacqueline Morgan

      Pages 65-77

   7. The Existence and Uniqueness of Equilibria in Convex Games with Strategies in Hilbert Spaces

      • Dean A. Carlson

      Pages 79-97

3. Stochastic Games

   1. Front Matter

      Pages 99-99

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   2. The Existence of Equilibrium Payoffs in Two-Player Stochastic Games

      • Nicolas Vieille

      Pages 101-118

   3. Persistently Good Strategies for Nonleavable Stochastic Games with Finite State Space

      • Piercesare Secchi, William D. Sudderth

      Pages 119-127

   4. On Stochastic Hybrid Zero-Sum Games with Nonlinear Slow Dynamics

      • Minh-Tuan Nguyen, Eitan Altman, Vladimir Gaitsgory

      Pages 129-145

   5. On Multichain Markov Games

      • Heinz-Uwe Küenle

      Pages 147-163

   6. Perturbed Zero-Sum Games with Applications to Stochastic and Repeated Games

      • Eitan Altman, Eugene A. Feinberg, Jerzy Filar, Vladimir A. Gaitsgory

      Pages 165-181

4. Solution Methods of Dynamic Games

   1. Front Matter

      Pages 183-183

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   2. Construction of Singular Surfaces in Linear Differential Games

      • Sergey S. Kumkov, Valery S. Parsko

      Pages 185-202

   3. Parallel Algorithms for the Isaacs Equation

      • Maurizio Falcone, Piero Lanucara, Monica Marinucci

      Pages 203-223

   4. Computation of S-adapted Equilibria in Piecewise Deterministic Games via Stochastic Programming Methods

      • Alain Haurie, Francesco Moresino

      Pages 225-252

   5. Comparison of Two Numerical Approaches for the Barrier and Value of a Simple Pursuit—Evasion Game

      • Pierre Bernhard, Stephane Crepey, Alain Rapaport

      Pages 253-273

5. Dynamic Games: Applications

   1. Front Matter

      Pages 275-275

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Game theory is a rich and active area of research of which this new volume of the Annals of the International Society of Dynamic Games is yet fresh evidence. Since the second half of the 20th century, the area of dynamic games has man­ aged to attract outstanding mathematicians, who found exciting open questions requiring tools from a wide variety of mathematical disciplines; economists, so­ cial and political scientists, who used game theory to model and study competition and cooperative behavior; and engineers, who used games in computer sciences, telecommunications, and other areas. The contents of this volume are primarily based on selected presentation made at the 8th International Symposium of Dynamic Games and Applications, held in Chateau Vaalsbroek, Maastricht, the Netherlands, July 5-8, 1998; this conference took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. The conference has been cosponsored by the Control Systems Society of the IEEE, IFAC (International Federation of Automatic Con­ trol), INRIA (Institute National de Recherche en Informatique et Automatique), and the University of Maastricht. One ofthe activities of the ISDG is the publica­ tion of the Annals. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival journals.

• Markov
• Signal
• Stochastic Programming
• algorithm
• algorithms
• communication
• game theory
• model
• modeling
• modelling
• numerical methods
• programming

"The book offers an ideal survey of recent developments and advances in dynamic games, models and their applications. It is an essential resource for all dynamic game researchers and professionals in fields of systems and control engineering, operations research, and applied mathematics.

The new book focuses on various aspects of dynamic game theory and provides authoritative, state-of-the-art information. Frontiers of Dynamic Games presents the most current research on dynamic games as well as some survey papers. The book covers a wide area of applications and thus offers game theory tools useful for researchers who use game theory to model in many disciplines."

—Analele Stiintifice Ale Universitatii "Al. I. Cuza” Iasi

• INRIA, Sophia Antipolis, France

  Eitan Altman, Odile Pourtallier

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