1. Consider the game known as Rock, Paper, Scissors. Most of you are familiar with this game. There are two players, player 1 and player 2. Simultaneously each player chooses either rock, paper or scissors. When player 1 and player 2 play the same strategy each wins zero. When player 1 plays paper and 2 plays rock, paper wraps up rock so player one wins 1 and player 2 wins -1. If player 1 plays scissors and player 2 plays paper, scissors cuts paper, hence, player 1 wins 1 and player two wins -1. If player one plays rock and player 2 plays scissors, rock breaks scissors and player one wins 1 and two wins -1.

Show that the strategy profiles (R,R) and (S,P) are not Nash using the definition method?