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Birkhäuser

Advances in Dynamic Games

Theory, Applications, and Numerical Methods for Differential and Stochastic Games

  • Book
  • © 2011

Overview

Editors:
  1. Michèle Breton

    1. , HEC Montréal, Department of Management Science, Montreal, Canada

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  2. Krzysztof Szajowski

    1. Wrocław University of Technology, Institute of Mathematics and Computer Sc, Wrocław, Poland

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    You can also search for this editor in PubMed   Google Scholar

  • A unified, self-contained collection of selected contributions giving a state-of-the-art account of recent developments in dynamic game theory and its applications
  • Real-world applications to dynamic games in communication and transportation networks, economics, finance, management science, environmental science, biology, and social science
  • Interdisciplinary audience of researchers, practitioners, and advanced graduate students
  • Includes supplementary material: sn.pub/extras

Part of the book series: Annals of the International Society of Dynamic Games (AISDG, volume 11)

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Table of contents (28 chapters)

  1. Front Matter

    Pages i-xlvi
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  2. Dynamic-Differential Games: Theoretical Developments

    1. Front Matter

      Pages 1-1
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    2. On a Structure of the Set of Differential Games Values

      • Yurii Averboukh
      Pages 3-23

    3. Existence and Uniqueness of Disturbed Open-Loop Nash Equilibria for Affine-Quadratic Differential Games

      • Teresa-Paula Azevedo-Perdicoúlis, Gerhard Jank
      Pages 25-39

    4. Fields of Extremals and Sufficient Conditions for a Class of Open-Loop Variational Games

      • Dean A. Carlson, George Leitmann
      Pages 41-59

    5. Riemann–Liouville, Caputo, and Sequential Fractional Derivatives in Differential Games

      • Arkadii Chikrii, Ivan Matychyn
      Pages 61-81

    6. The Mixed Zero-Sum Stochastic Differential Game in the Model with Jumps

      • Saïd Hamadène, Hao Wang
      Pages 83-110

    7. Discontinuous Value Function in Time-Optimal Differential Games

      • Liudmila Kamneva
      Pages 111-131

    8. On Grid Optimal Feedbacks to Control Problems of Prescribed Duration on the Plane

      • Nina N. Subbotina, Timofey B. Tokmantsev
      Pages 133-147

    9. Sub- and Super-optimality Principles and Construction of Almost Optimal Strategies for Differential Games in Hilbert Spaces

      • Andrzej Świȩch
      Pages 149-163

  3. Pursuit Evasion Games

    1. Front Matter

      Pages 165-165
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    2. Extremal Aiming in Problems with Unknown Level of Dynamic Disturbance

      • Sergei A. Ganebny, Sergey S. Kumkov, Valerii S. Patsko, Sergei G. Pyatko
      Pages 167-187

    3. A Generalization of the Multi-Stage Search Allocation Game

      • Ryusuke Hohzaki
      Pages 189-207

    4. Linear Differential Game with Two Pursuers and One Evader

      • Stéphane Le Ménec
      Pages 209-226

    5. Homicidal Chauffeur Game: History and Modern Studies

      • Valerii S. Patsko, Varvara L. Turova
      Pages 227-251

    6. Collision Avoidance Strategies for a Three-Player Game

      • Sriram Shankaran, Dušan M. Stipanović, Claire J. Tomlin
      Pages 253-271

  4. Evolutionary Games

    1. Front Matter

      Pages 273-273
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    2. Imitative Behavior in a Two-Population Model

      • Elvio Accinelli, Juan Gabriel Brida, Edgar J. Sanchez Carrera
      Pages 275-289

    3. ESS, Population Games, Replicator Dynamics: Dynamics and Games if not Dynamic Games

      • Pierre Bernhard
      Pages 291-311

    4. A Markov Decision Evolutionary Game for Individual Energy Management

      • Yezekael Hayel, Hamidou Tembine, Eitan Altman, Rachid El-Azouzi
      Pages 313-335
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About this book

This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a testament to the vitality and growth of the field of dynamic games and their applications. The selected contributions, written by experts in their respective disciplines, are outgrowths of presentations originally given at the 13th International Symposium of Dynamic Games and Applications held in Wrocław. The book covers a variety of topics, ranging from theoretical developments in game theory and algorithmic methods to applications, examples, and analysis in fields as varied as environmental management, finance and economics, engineering, guidance and control, and social interaction. Featured throughout are useful tools and valuable resources for researchers, practitioners, and graduate students interested in dynamic games and their applications in applied mathematics, engineering, economics, and management science. Also included in the volume is a special tribute to Arik Melikyan, honoring his memory and the many contributions he made to the field of dynamic games.

Editors and Affiliations

  • , HEC Montréal, Department of Management Science, Montreal, Canada

    Michèle Breton

  • Wrocław University of Technology, Institute of Mathematics and Computer Sc, Wrocław, Poland

    Krzysztof Szajowski

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