Mixed Strategies. Consider the classic childhood game, rock-paper-scissors, with the fol- lowing payoffs (assuming paper beats rock, rock beats scissors, scissors beat paper): R P S R 0,0 -1,1 1, -1 P 1, -1 0,0 -1,1 S -1,1 1, -1 0,0 (a) Show that there is no pure strategy NE. (b) Show that there is a mixed strategy NE in which each player randomizes over all three actions, choosing each with probability }