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Computer Solution to the Game of Pure Strategy

Author

Listed:
  • Glenn C. Rhoads

    () (University of Maryland, University College, 3501 University Blvd. East, Adelphi, MD, USA)

  • Laurent Bartholdi

    () (Mathematical Institute, Georg-August University, Bunsenstraße 3-5, D-37073 Göttingen, Germany)

Abstract

We numerically solve the classical "Game of Pure Strategy" using linear programming. We notice an intricate even-odd behaviour in the results of our computations that seems to encourage odd or maximal bids.

Suggested Citation

  • Glenn C. Rhoads & Laurent Bartholdi, 2012. "Computer Solution to the Game of Pure Strategy," Games, MDPI, Open Access Journal, vol. 3(4), pages 1-7, November.
  • Handle: RePEc:gam:jgames:v:3:y:2012:i:4:p:150-156:d:21290
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    More about this item

    Keywords

    goofspiel; game theory; linear programming; dynamic programming;

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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