Differential games in economics and management science


Differential games in economics and management science

Engelbert J. Dockner ... [et al.]

Cambridge University Press, 2000

  • : hc
  • : pbk

大学図書館所蔵 件 / 79



Includes bibliographical references (p. 365-378) and index



A comprehensive, self-contained survey of the theory and applications of differential games, one of the most commonly used tools for modelling and analysing economics and management problems which are characterised by both multiperiod and strategic decision making. Although no prior knowledge of game theory is required, a basic knowledge of linear algebra, ordinary differential equations, mathematical programming and probability theory is necessary. Part One presents the theory of differential games, starting with the basic concepts of game theory and going on to cover control theoretic models, Markovian equilibria with simultaneous play, differential games with hierarchical play, trigger strategy equilibria, differential games with special structures, and stochastic differential games. Part Two offers applications to capital accumulation games, industrial organization and oligopoly games, marketing, resources and environmental economics.


  • List of figures
  • List of tables
  • Preface
  • 1. Introduction
  • Part I. Theory: 2. Basic concepts of game theory
  • 3. Control theoretic methods
  • 4. Markovian equilibria with simultaneous play
  • 5. Differential games with hierarchical play
  • 6. Trigger strategy equilibria
  • 7. Differential games with special structures
  • 8. Stochastic differential games
  • Part II. Applications: 9. Capital accumulation games
  • 10. Industrial organization and oligopoly games
  • 11. Differential games in marketing
  • 12. Differential games in resources and environmental economics
  • Answers and hints for exercises
  • Bibliography
  • Index.

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