Rock-paper-scissors; a new and elegant proof
Authorvan den Nouweland, A.
University of Melbourne Author/svan den Nouweland, A.
AffiliationEconomics and Commerce: Department of Economics
Citationsvan den Nouweland, A. (2007) Rock-paper-scissors; a new and elegant proof.
Access StatusOpen Access
I provide an elegant proof identifying the unique mixed Nash equilibriumof the Rock-Paper-Scissors game. The proof is based on intuitionrather than elimination of cases. It shows that for any mixedstrategy other than the one that puts equal probability on each of aplayer’s actions, it holds that this strategy is not a best response toany mixed strategy that is a best response to it.
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