Game theory and strategy / by Philip D. Straffin.

Author
Straffin, Philip D. [Browse]
Format
Book
Language
English
Published/​Created
  • Washington : Mathematical Association of America, [1993].
  • ©1993
Description
x, 244 pages : illustrations ; 24 cm.

Availability

Copies in the Library

Location Call Number Status Location Service Notes
Lewis Library - Stacks QA269 .S77 1993 Browse related items Request
    Lewis Library - Stacks QA269 .S77 1993 Browse related items Request
      Lewis Library - Stacks QA269 .S77 1993 Browse related items Request
        Lewis Library - Stacks QA269 .S77 1993 Browse related items Request

          Details

          Subject(s)
          Library of Congress genre(s)
          Series
          Summary note
          "This book is an introduction to mathematical game theory, which might better be called the mathematical theory of conflict and cooperation. It is applicable whenever two individuals—or companies, or political parties, or nations--confront situations where the outcome for each depends on the behavior of all. What are the best strategies in such situations? If there are chances of cooperation, with whom should you cooperate, and how should you share the proceeds of cooperation? Since its creation by John von Neumann and Oskar Morgenstern in 1944, game theory has shed new light on business, politics, economics, social psychology, philosophy, and evolutionary biology. In this book, its fundamental ideas are developed with mathematics at the level of high school algebra and applied to many of these fields (see the table of contents). Ideas like 'fairness' are presented via axioms that fair allocations should satisfy; thus the reader is introduced to axiomatic thinking as well as to mathematical modeling of actual situations."-- Provided by publisher
          Bibliographic references
          Includes bibliographical references (p. [217]-224) and index.
          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.
          ISBN
          • 9781470471965 ((paperback reprint))
          • 1470471965 ((paperback reprint))
          • 0883856379
          • 9780883856376
          • 088385600X ((set))
          • 9780883856000
          LCCN
          92064176
          OCLC
          29442393
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