(iii) Find the mixed strategy Nash equilibrium for this game 17 In the "Rock - Scissors - Paper" game two players simultaneously the arms up and down to the count of "one, two, three." On the count of three forms his hand into the shape of either a rock, a pair of scissors, a piece of p Abbreviate these shapes as R, S and P, respectively. The players make this same time. If the players pick the same shape, then the game ends in a tie. Odier one of the players wins and the other loses. The winner is determined by the follow rule: rock beats scissors, scissors beats paper, and paper beats rock. Each player of a payoff of 1 if he or she wins, -1 if he or she loses, and O if he or she ties. Represent this game in the extensive form. Construct a payoff matrix for this game. FECE Is this game also a zero - sum game? Explain your answer. Find a mixed strategy Nash equilibrium for this game. An affine transformation of the payoffs for player i, i = 1,2, is