Advances in Dynamic Games and Applications

1. Front Matter

   Pages i-ix

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2. Zero-sum differential games: Theory and applications in worst-case controller design

   1. Front Matter

      Pages 1-1

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   2. A Theory of Differential Games

      • Leonard D. Berkovitz

      Pages 3-22

   3. H∞-Optimal Control of Singularly Perturbed Systems with Sampled-State Measurement

      • Zigang Pan, Tamer Başar

      Pages 23-55

   4. New Results on Nonlinear H∞-Control via Measurement Feedback

      • Alberto Isidori

      Pages 56-69

   5. Reentry Trajectory Optimization under Atmospheric Uncertainty as a Differential Game

      • Michael H. Breitner, H. Joseph Pesch

      Pages 70-86

3. Zero-sum differential games: Pursuit-evasion games and numerical schemes

   1. Front Matter

      Pages 87-87

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   2. Fully Discrete Schemes for the Value Function of Pursuit-Evasion Games

      • M. Bardi, P. Soravia, M. Falcone

      Pages 89-105

   3. Zero Sum Differential Games With Stopping Times: Some Results About its Numerical Resolution

      • Mabel M. Tidball, R. L. V. González

      Pages 106-124

   4. Singular Paths in Differential Games with Simple Motion

      • Arik A. Melikyan

      Pages 125-135

   5. The Circular Wall Pursuit

      • Joseph Lewin

      Pages 136-146

4. Mathematical programming techniques

   1. Front Matter

      Pages 147-147

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   2. Decomposition of Multi-Player Linear Programs

      • Richard Loulou, Gilles Savard, Denis Lavigne

      Pages 149-167

   3. Convergent Stepsizes for Constrained Min-Max Algorithms

      • Berc Rustem

      Pages 168-194

   4. Algorithms for the Solution of a Large-Scale Single-Controller Stochastic Game

      • Michèle Breton, Saeb El Hachem

      Pages 195-216

5. Stochastic Games: Differential, sequential and Markov Games

   1. Front Matter

      Pages 217-217

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   2. Stochastic Games with Average Cost Constraints

      • Nahum Shimkin

      Pages 219-230

   3. Stationary Equilibria for Nonzero-Sum Average Payoff Ergodic Stochastic Games with General State Space

      • Andrzej S. Nowak

      Pages 231-246

   4. Overtaking Equilibria for Switching Regulator and Tracking Games

      • D. Carlson, A. Haurie, A. Leizarowitz

      Pages 247-268

   5. Monotonicity of Optimal Policies in a Zero Sum Game: A Flow Control Model

      • Eitan Altman

      Pages 269-286

Recent years have witnessed a surge of activity in the field of dynamic both theory and applications. Theoretical as well as practical games, in problems in zero-sum and nonzero-sum games, continuous time differential and discrete time multistage games, and deterministic and stochastic games games are currently being investigated by researchers in diverse disciplines, such as engineering, mathematics, biology, economics, management science, and political science. This surge of interest has led to the formation of the International Society of Dynamic Games (ISDG) in 1990, whose primary goal is to foster the development of advanced research and applications in the field of game theory. One important activity of the Society is to organize biannually an international symposium which aims at bringing together all those who contribute to the development of this active field of applied science. In 1992 the symposium was organized in Grimentz, Switzerland, under the supervision of an international scientific committee and with the help of a local organizing committee based at University of Geneva. This book, which is the first volume in the new Series, Annals of the International Society of Dynamic Games (see the Preface to the Series), is based on presentations made at this symposium. It is however more than a book of proceedings for a conference. Every paper published in this volume has passed through a very selective refereeing process, as in an archival technical journal.

• Markov
• algorithm
• algorithms
• electricity
• game theory
• mathematical programming
• model
• optimization
• programming

• Coordinated Science Laboratory, University of Illinois, Urbana, USA

  Tamer Başar

• Department of Management Studies, University of Geneva, Geneva, Switzerland

  Alain Haurie

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