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Rock-Paper-Scissors; A New and Elegant Proof

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Author Info
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.

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File URL: http://www.economics.unimelb.edu.au/SITE/research/workingpapers/wp07/1003.pdf
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Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 1003.

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Length: 8 pages
Date of creation: 2007
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Handle: RePEc:mlb:wpaper:1003

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