Consider a Rock-Paper-Scissors game with the following game table. (a) Does this game has a pure-strategy NE? (b) Find a mixed-strategy NE where each player is using all three strategies with positive probabilities. (c) Suppose that Bart is mixing over only Rock and Scissors and Lisa is mixing over only Paper and Scissors. That is, Bart puts probability zero on Paper and Lisa puts probability zero on Rock. Find Bart's mixing probability that makes Lisa indifferent between Paper and Scissors, and Lisa's mixing probability that makes Bart indifferent be