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Game Theory and Strategy

Game Theory and Strategy

£32.99

Part of Mathematical Association of America Textbooks

  • Date Published: September 1996
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
  • format: Paperback
  • isbn: 9780883856376

£ 32.99
Paperback

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About the Authors
  • This book pays careful attention to applications of game theory in a wide variety of disciplines. The applications are treated in considerable depth. The book assumes only high school algebra, yet gently builds to mathematical thinking of some sophistication. Game Theory and Strategy might serve as an introduction to both axiomatic mathematical thinking and the fundamental process of mathematical modelling. It gives insight into both the nature of pure mathematics, and the way in which mathematics can be applied to real problems.

    • Teaches mathematical modelling in a variety of contexts
    • Wide ranging applications
    Read more

    Reviews & endorsements

    'Game Theory and Strategy is an elegant, crystal-clear expository work. Key concepts are emphasized and clearly explained.' Nature

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    Product details

    • Date Published: September 1996
    • format: Paperback
    • isbn: 9780883856376
    • length: 254 pages
    • copublisher: The Mathematical Association of America
    • dimensions: 229 x 154 x 17 mm
    • weight: 0.35kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
  • Table of Contents

    Part I. Two-Person Zero-Sum Games:
    1. The nature of games
    2. Matrix games: dominance and saddle points
    3. Matrix games: mixed strategies
    4. Application to anthropology: Jamaican fishing
    5. Application to warfare: guerillas, police, and missiles
    6. Application to philosophy: Newcomb's problem and free will
    7. Game trees
    8. Application to business: competitive decision making
    9. Utility theory
    10. Games against nature
    Part II. Two-Person Non-Zero-Sum Games:
    11. Nash equilibria and non-cooperative solutions
    12. The prisoner's dilemma
    13. Application to social psychology: trust, suspicion, and the F-Scale
    14. Strategic moves
    15. Application to biology: evolutionarily stable strategies
    16. The Nash arbitration scheme and cooperative solutions
    17. Application to business: management-labor arbitration
    18. Application to economics: the duopoly problem
    Part III. N-Person Games:
    19. An introduction to N-Person games
    20. Applications to politics: strategic voting
    21. N-Person prisoner's dilemma
    22. Application to athletics: prisoner's dilemma and the football draft
    23. Imputations, domination, and stable set
    24. Application to anthropology: pathan organization
    25. The core
    26. The shapley value
    27. Application to politics: the Shapley-Shubik power index
    28. Application to politics: the Banzhaf index and the Canadian constitution
    29. Bargaining sets
    30. Application to politics: parliamentary coalitions
    31. The nucleolus and the Gately point
    32. Application to economics: cost allocations in India
    33. The value of game theory.

  • Author

    Philip D. Straffin, Jr, Beloit College, Wisconsin

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