Rock-paper-scissors; a new and elegant proof

Abstract

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.