Kramer and Mickey play a version of Rock-Paper-Scissors, although not the version we considered in Homework 8.Please watch this video.

(a)What is the Nash equilibrium of the game that Kramer and Mickey are playing? [5 points]

(b)The payoff matrix for the game is given below. Find all values of x for which both players will follow the Nash equilibrium that you found in (a). [10 points]

(c)Jerry suggests that Kramer and Mickey change the payoff matrix to one below. Find all pure-strategy and mixed strategy Nash equilibria.If there are none, then state ``there are none.'' [15 points]