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Rock-Paper-Scissors; A New and Elegant Proof

Author

Listed:
  • Anne van den Nouweland

    (University of Oregon)

Abstract

I provide an elegant proof identifying the unique mixed Nash equilibrium of the Rock-Paper-Scissors game. The proof is based on intuition rather than elimination of cases. It shows that for any mixed strategy other than the one that puts equal probability on each of a player's actions, it holds that this strategy is not a best response to any mixed strategy that is a best response to it.

Suggested Citation

  • Anne van den Nouweland, 2007. "Rock-Paper-Scissors; A New and Elegant Proof," University of Oregon Economics Department Working Papers 2007-12, University of Oregon Economics Department.
    • Handle: RePEc:ore:uoecwp:2007-12
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    File URL: http://economics.uoregon.edu/papers/UO-2007-12_Nouweland_Rocks.pdf
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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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