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The Present and Future of Game Theory

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Abstract

A broad nontechnical coverage of many of the developments in game theory since the 1950s is given together with some comments on important open problems and where some of the developments may take place. The nearly 90 references given serve only as a minimal guide to the many thousands of books and articles that have been written. The purpose here is to present a broad brush picture of the many areas of study and application that have come into being. The use of deep techniques flourishes best when it stays in touch with application. There is a vital symbiotic relationship between good theory and practice. The breakneck speed of development of game theory calls for an appreciation of both the many realities of conflict, coordination and cooperation and the abstract investigation of all of them.

Suggested Citation

  • Martin Shubik, 2011. "The Present and Future of Game Theory," Cowles Foundation Discussion Papers 1808, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:1808
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    References listed on IDEAS

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    2. Leonid Hurwicz, 2008. "But Who Will Guard the Guardians?," American Economic Review, American Economic Association, vol. 98(3), pages 577-585, June.
    3. Martin Shubik, 2000. "The Theory of Money," Working Papers 00-03-021, Santa Fe Institute.
    4. Gilboa, Itzhak & Zemel, Eitan, 1989. "Nash and correlated equilibria: Some complexity considerations," Games and Economic Behavior, Elsevier, vol. 1(1), pages 80-93, March.
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    8. Friedman, James, 1993. "Oligopoly theory," Handbook of Mathematical Economics,in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 11, pages 491-534 Elsevier.
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    10. Dubey, Pradeep, 1982. "Price-Quantity Strategic Market Games," Econometrica, Econometric Society, vol. 50(1), pages 111-126, January.
    11. Ioannis Karatzas & Martin Shubik & William D. Sudderth, 1992. "Construction of Stationary Markov Equilibria in a Strategic Market Game," Cowles Foundation Discussion Papers 1033, Cowles Foundation for Research in Economics, Yale University.
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    Keywords

    Game theory; Application and theory; Social sciences; Law; Experimental gaming; conflict; Coordination and cooperation;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C9 - Mathematical and Quantitative Methods - - Design of Experiments

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