New Trends in Dynamic Games and Applications

1. Front Matter

   Pages i-xi

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2. Minimax control

   1. Front Matter

      Pages 1-1

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   2. Expected Values, Feared Values, and Partial Information Optimal Control

      • Pierre Bernhard

      Pages 3-24

   3. H∞-Control of Nonlinear Singularly Perturbed Systems and Invariant Manifolds

      • Emilia Fridman

      Pages 25-45

   4. A Hybrid (Differential-Stochastic) Zero-Sum Game with a Fast Stochastic Part

      • Eitan Altman, Vladimir Gaitsgory

      Pages 47-59

   5. H∞-Control of Markovian Jump Systems and Solutions to Associated Piecewise-Deterministic Differential Games

      • Zigang Pan, Tamer Başar

      Pages 61-94

   6. The Big Match on the Integers

      • Bert Fristedt, Stephan Lapic, William D. Sudderth

      Pages 95-107

3. Pursuit evasion

   1. Front Matter

      Pages 109-109

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   2. Synthesis of Optimal Strategies for Differential Games by Neural Networks

      • H. J. Pesch, I. Gabler, S. Miesbach, M. H. Breitner

      Pages 111-141

   3. A Linear Pursuit-Evasion Game with a State Constraint for a Highly Maneuverable Evader

      • Y. Lipman, J. Shinar

      Pages 143-164

   4. Three-Dimensional Air Combat: Numerical Solution of Complex Differential Games

      • R. Lachner, M. H. Breitner, H. J. Pesch

      Pages 165-190

   5. Control of Informational Sets in a Pursuit Problem

      • S. I. Kumkov, V. S. Patsko

      Pages 191-206

   6. Decision Support System for Medium Range Aerial Duels Combining Elements of Pursuit-Evasion Game Solutions with AI Techniques

      • Stéphane Le Ménec, Pierre Bernhard

      Pages 207-225

   7. Optimal Selection of Observation Times in a Costly Information Game

      • Geert Jan Olsder, Odile Pourtallier

      Pages 227-246

   8. Pursuit Games with Costly Information: Application to the ASW Helicopter Versus Submarine Game

      • D. Neveu, J. P. Pignon, A. Raimondo, J. M. Nicolas, O. Pourtallier

      Pages 247-257

   9. Linear Avoidance in the Case of Interaction of Controlled Objects Groups

      • Arkadij A. Chikrii, Pavel V. Prokopovich

      Pages 259-269

4. Solution methods

   1. Front Matter

      Pages 271-271

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   2. Convergence of Discrete Schemes for Discontinuous Value Functions of Pursuit-Evasion Games

      • Martino Bardi, Sandra Bottacin, Maurizio Falcone

      Pages 273-304

   3. Undiscounted Zero Sum Differential Games with Stopping Times

      • Mabel M. Tidball

      Pages 305-322

   4. Guaranteed Result in Differential Games with Terminal Payoff

      • A. A. Chikrii, J. S. Rappoport

      Pages 323-330

The theory of dynamic games is very rich in nature and very much alive! If the reader does not already agree with this statement, I hope he/she will surely do so after having consulted the contents of the current volume. The activities which fall under the heading of 'dynamic games' cannot easily be put into one scientific discipline. On the theoretical side one deals with differential games, difference games (the underlying models are described by differential, respec­ tively difference equations) and games based on Markov chains, with determin­ istic and stochastic games, zero-sum and nonzero-sum games, two-player and many-player games - all under various forms of equilibria. On the practical side, one sees applications to economics (stimulated by the recent Nobel prize for economics which went to three prominent scientists in game theory), biology, management science, and engineering. The contents of this volume are primarily based on selected presentations made at the Sixth International Symposium on Dynamic Games and Applica­ tions, held in St Jovite, Quebec, Canada, 13-15 July 1994. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival technical journals. This conference, as well as its predecessor which was held in Grimentz, 1992, took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. One of the activities of the ISDG is the publication of these Annals. The contributions in this volume have been grouped around five themes.

• Algebra
• Markov
• differential games
• game theory
• neural network
• programming

• Section of Applied Analysis, Delft University of Technology, Delft, The Netherlands

  Geert Jan Olsder

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