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Differential Games in Economics and Management Science

Differential Games in Economics and Management Science

£42.99

  • Date Published: November 2000
  • availability: Available
  • format: Paperback
  • isbn: 9780521637329

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  • 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.

    • Comprehensive review of much-used techniques for modelling and analysing economics and management problems
    • Requires no previous knowledge of game theory
    • Designed for upper-level courses and for researchers
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    Reviews & endorsements

    'This book brings together the various strands of knowledge on non-cooperative differential games for the first time. A great merit of the text is that it is, technique-wise, self-contained. The large number of worked examples enhances considerably the clarity of the material … The book fills a large gap and will facilitate inclusion of differential games as part of mainstream game theory courses at advanced undergraduate and graduate levels. Teaching purposes aside, game theorists as well as PhD students will benefit a lot from this excellent new text. The book will enable researchers to add differential games to their arsenal of techniques in looking for the best modelling approach to address economic questions.' Arupratan Daripa, The Times Higher Education Supplement

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    Product details

    • Date Published: November 2000
    • format: Paperback
    • isbn: 9780521637329
    • length: 396 pages
    • dimensions: 245 x 167 x 23 mm
    • weight: 0.62kg
    • contains: 9 tables
    • availability: Available
  • Table of Contents

    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.

  • Authors

    Engelbert J. Dockner, Universität Wien, Austria

    Steffen Jorgensen, Odense Universitet, Denmark

    Ngo Van Long, McGill University, Montréal

    Gerhard Sorger, Queen Mary University of London

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