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Rock-Paper-Scissors; A New and Elegant Proof

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  • A. van den Nouweland

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

  • A. van den Nouweland, 2007. "Rock-Paper-Scissors; A New and Elegant Proof," Department of Economics - Working Papers Series 1003, The University of Melbourne.
  • Handle: RePEc:mlb:wpaper:1003
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    File URL: http://fbe.unimelb.edu.au/__data/assets/pdf_file/0008/802826/1003.pdf
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    Cited by:

    1. Bahel, Eric, 2012. "Rock–paper–scissors and cycle-based games," Economics Letters, Elsevier, vol. 115(3), pages 401-403.
    2. Bahel, Eric & Haller, Hans, 2013. "Cycles with undistinguished actions and extended Rock–Paper–Scissors games," Economics Letters, Elsevier, vol. 120(3), pages 588-591.

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