Advances in Dynamic Games

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


ISBN: 978-0-8176-8354-2 (Print) 978-0-8176-8355-9 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xvii

  2. Evolutionary Games

    1. Front Matter

      Pages 1-1

    2. Chapter

      Pages 3-24

      Some Generalizations of a Mutual Mate Choice Problem with Age Preferences

    3. Chapter

      Pages 25-38

      Signalling Victory to Ensure Dominance: A Continuous Model

    4. Chapter

      Pages 39-71

      Evolutionary Games for Multiple Access Control

    5. Chapter

      Pages 73-95

      Join Forces or Cheat: Evolutionary Analysis of a Consumer–Resource System

  3. Dynamic and Differential Games: Theoretical Developments

    1. Front Matter

      Pages 97-97

    2. Chapter

      Pages 99-107

      Strong Strategic Support of Cooperative Solutions in Differential Games

    3. Chapter

      Pages 109-125

      Characterization of Feedback Nash Equilibrium for Differential Games

    4. Chapter

      Pages 127-159

      Nash Equilibrium Payoffs in Mixed Strategies

    5. Chapter

      Pages 161-178

      A Penalty Method Approach for Open-Loop Variational Games with Equality Constraints

    6. Chapter

      Pages 179-198

      Nash Equilibrium Seeking for Dynamic Systems with Non-quadratic Payoffs

    7. Chapter

      Pages 199-215

      A Uniform Tauberian Theorem in Optimal Control

    8. Chapter

      Pages 217-228

      E-Equilibria for Multicriteria Games

    9. Chapter

      Pages 229-241

      Mean Field Games with a Quadratic Hamiltonian: A Constructive Scheme

  4. Pursuit-Evasion Games and Search Games

    1. Front Matter

      Pages 243-243

    2. Chapter

      Pages 245-268

      Differential Game-Theoretic Approach to a Spatial Jamming Problem

    3. Chapter

      Pages 269-292

      Study of Linear Game with Two Pursuers and One Evader: Different Strength of Pursuers

    4. Chapter

      Pages 293-313

      Salvo Enhanced No Escape Zone

    5. Chapter

      Pages 315-325

      A Method of Solving Differential Games Under Integrally Constrained Controls

    6. Chapter

      Pages 327-349

      Anglers’ Fishing Problem

    7. Chapter

      Pages 351-373

      A Nonzero-Sum Search Game with Two Competitive Searchers and a Target

  5. Applications of Dynamic Games

    1. Front Matter

      Pages 375-375

    2. Chapter

      Pages 377-394

      Advertising and Price to Sustain The Brand Value in a Licensing Contract

    3. Chapter

      Pages 395-421

      Cost–Revenue Sharing in a Closed-Loop Supply Chain