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Advances in Dynamic Games and Applications

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. Tamer Başar

    1. Coordinated Science Laboratory, University of Illinois, Urbana, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Alain Haurie

    1. Department of Management Studies, University of Geneva, Geneva, Switzerland

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Annals of the International Society of Dynamic Games (AISDG, volume 1)

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Table of contents (23 papers)

  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
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Keywords

About this book

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.

Editors and Affiliations

  • 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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