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Advances in Dynamic Game Theory

Numerical Methods, Algorithms, and Applications to Ecology and Economics

  • Steffen Jørgensen
  • Marc Quincampoix
  • Thomas L. Vincent

Part of the Annals of the International Society of Dynamic Games book series (AISDG, volume 9)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Dynamic Game Theory

    1. Front Matter
      Pages 1-1
    2. Pierre Cardaliaguet, Marc Quincampoix, Patrick Saint-Pierre
      Pages 3-35
    3. Arkadii A. Chikrii, Ivan I. Matychyn, Kirill A. Chikrii
      Pages 37-55
    4. S. A. Ganebny, S. S. Kumkov, V. S. Patsko, S. G. Pyatko
      Pages 69-92
    5. Justin Beck, Jerzy A. Filar
      Pages 93-110
    6. Marco Margiocco, Lucia Pusillo
      Pages 111-128
  3. Stochastic Differential Games

    1. Front Matter
      Pages 129-129
    2. Olivier Alvarez, Martino Bardi
      Pages 131-152
  4. Pursuit-Evasion Games

    1. Front Matter
      Pages 170-170
    2. Josef Shinar, Valery Y. Glizer, Vladimir Turetsky
      Pages 195-222
    3. Eva Crück, Marc Quincampoix, Patrick Saint-Pierre
      Pages 223-247
    4. Igor Shevchenko
      Pages 249-268
  5. Evolutionary Game Theory and Applications

    1. Front Matter
      Pages 269-269
    2. Tania L. S. Vincent, Thomas L. Vincent
      Pages 305-326
    3. Frédéric Hamelin, Pierre Bernhard, Philippe Nain, Éric Wajnberg
      Pages 327-348
    4. Frédéric Hamelin, Pierre Bernhard, A. J. Shaiju, Éric Wajnberg
      Pages 349-365
    5. R. Rael, T. L. Vincent, R. F. Costantino, J. M. Cushing
      Pages 367-376
    6. Christopher J. Whelan, Joel S. Brown, Jason Moll
      Pages 377-390
  6. Applications of Dynamic Games to Economics

    1. Front Matter
      Pages 391-391
    2. Rodney Beard, Stuart McDonald
      Pages 393-410
    3. Tansu Alpcan, Tamer Başar
      Pages 411-429
    4. Doris A. Behrens, Jonathan P. Caulkins, Gustav Feichtinger, Gernot Tragler
      Pages 459-486
    5. Roberto Cellini, Luca Lambertini
      Pages 487-505
    6. Bo won Kim, Fouad El Ouardigh
      Pages 527-545
    7. Olivier Rubel, Georges Zaccour
      Pages 547-568
    8. Steffen JØrgensen, Andrea Di Liddo
      Pages 569-586
  7. Numerical Methods and Algorithms in Dynamic Games

About this book

Introduction

This collection of selected contributions gives an account of recent developments in dynamic game theory and its applications, covering both theoretical advances and new applications of dynamic games in such areas as pursuit-evasion games, ecology, and economics. Written by experts in their respective disciplines, the chapters are an outgrowth of presentations from the 11th International Symposium on Dynamic Games and Applications.

Key topics covered include:

* stochastic and differential games

* dynamic games and their applications in various areas, such as ecology and economics

* numerical methods and algorithms in dynamic games

* zero- and nonzero-sum games

* pursuit-evasion games

* evolutionary game theory and applications

The work will serve as a state-of-the art account of recent advances in dynamic game theory and its applications for researchers, practitioners, and advanced students in applied mathematics, mathematical finance, and engineering.

Keywords

Transformation algorithm algorithms communication game theory linear optimization model numerical methods simulation stability

Editors and affiliations

  • Steffen Jørgensen
    • 1
  • Marc Quincampoix
    • 2
  • Thomas L. Vincent
    • 3
  1. 1.Department of Economics and BusinessUniversity of Southern DenmarkDenmark
  2. 2.Laboratoire de MathématiquesUniversité de Bretagne OccidentaleFrance
  3. 3.Department of Aerospace and Mechanical EngineeringUniversity of ArizonaTucsonUSA

Bibliographic information