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Stochastic and Differential Games

Theory and Numerical Methods

  • Book
  • © 1999

Overview

Editors:
  1. Martino Bardi

    1. Dipartimento di Matematica Pura e Applicata, Università degli Studi di Padova, Padova, Italy

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  2. T. E. S. Raghavan

    1. Department of Mathematics, University of Illinois, Chicago, USA

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  3. T. Parthasarathy

    1. Indian Statistical Institute, New Delhi, India

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Part of the book series: Annals of the International Society of Dynamic Games (AISDG, volume 4)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Zero-Sum Differential Games and Numerical Methods

    1. Front Matter

      Pages 1-1
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    2. Constructive Theory of Positional Differential Games and Generalized Solutions to Hamilton—Jacobi Equations

      • Andrei I. Subbotin
      Pages 3-67

    3. Two-Player, Zero-Sum Differential Games and Viscosity Solutions

      • Panagiotis E. Souganidis
      Pages 69-104

    4. Numerical Methods for Pursuit-Evasion Games via Viscosity Solutions

      • Martino Bardi, Maurizio Falcone, Pierpaolo Soravia
      Pages 105-175

    5. Set-Valued Numerical Analysis for Optimal Control and Differential Games

      • Pierre Cardaliaguet, Marc Quincampoix, Patrick Saint-Pierre
      Pages 177-247

  3. Stochastic and Nonzero-Sum Games and Applications

    1. Front Matter

      Pages 249-249
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    2. An Introduction to Gambling Theory and Its Applications to Stochastic Games

      • A. Maitra, W. Sudderth
      Pages 251-269

    3. Discounted Stochastic Games, A Complex Analytic Perspective

      • S. A. Connell, Jerzy A. Filar, W. W. Szczechla, O. J. Vrieze
      Pages 271-296

    4. Nonzero-Sum Stochastic Games

      • Andrzej S. Nowak, Krzysztof Szajowski
      Pages 297-342

    5. The Power of Threats in Stochastic Games

      • Frank Thuijsman, O. J. Vrieze
      Pages 343-357

    6. A Markov Game Approach for Optimal Routing Into a Queuing Network

      • Eitan Altman
      Pages 359-375

    7. On Linear Complementarity and A Discounted Polystochastic Game

      • S. R. Mohan, S. K. Neogy, T. Parthasarathy
      Pages 377-380

  4. Back Matter

    Pages 381-381
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Keywords

Editors and Affiliations

  • Dipartimento di Matematica Pura e Applicata, Università degli Studi di Padova, Padova, Italy

    Martino Bardi

  • Department of Mathematics, University of Illinois, Chicago, USA

    T. E. S. Raghavan

  • Indian Statistical Institute, New Delhi, India

    T. Parthasarathy

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