Advances in Dynamic Games

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


ISBN: 978-0-8176-8088-6 (Print) 978-0-8176-8089-3 (Online)
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Table of contents (28 chapters)

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  1. Front Matter

    Pages i-xlvi

  2. Dynamic-Differential Games: Theoretical Developments

    1. Front Matter

      Pages 1-1

    2. Book Chapter

      Pages 3-23

      On a Structure of the Set of Differential Games Values

    3. Book Chapter

      Pages 25-39

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

    4. Book Chapter

      Pages 41-59

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

    5. Book Chapter

      Pages 61-81

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

    6. Book Chapter

      Pages 83-110

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

    7. Book Chapter

      Pages 111-131

      Discontinuous Value Function in Time-Optimal Differential Games

    8. Book Chapter

      Pages 133-147

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

    9. Book Chapter

      Pages 149-163

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

  3. Pursuit Evasion Games

    1. Front Matter

      Pages 165-165

    2. Book Chapter

      Pages 167-187

      Extremal Aiming in Problems with Unknown Level of Dynamic Disturbance

    3. Book Chapter

      Pages 189-207

      A Generalization of the Multi-Stage Search Allocation Game

    4. Book Chapter

      Pages 209-226

      Linear Differential Game with Two Pursuers and One Evader

    5. Book Chapter

      Pages 227-251

      Homicidal Chauffeur Game: History and Modern Studies

    6. Book Chapter

      Pages 253-271

      Collision Avoidance Strategies for a Three-Player Game

  4. Evolutionary Games

    1. Front Matter

      Pages 273-273

    2. Book Chapter

      Pages 275-289

      Imitative Behavior in a Two-Population Model

    3. Book Chapter

      Pages 291-311

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

    4. Book Chapter

      Pages 313-335

      A Markov Decision Evolutionary Game for Individual Energy Management

    5. Book Chapter

      Pages 337-355

      Mutual Mate Choice with Multiple Criteria

  5. Cooperative games

    1. Front Matter

      Pages 357-357

    2. Book Chapter

      Pages 359-373

      The Shapley Value in Cooperative Differential Games with Random Duration

    3. Book Chapter

      Pages 375-395

      Dynamically Consistent Cooperative Solutions in Differential Games with Asynchronous Players’ Horizons

  6. Applications and numerical approaches

    1. Front Matter

      Pages 397-397

    2. Book Chapter

      Pages 399-423

      Measure-Valued Solutions to a Harvesting Game with Several Players

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