Consider the Rock-Paper-Scissors game below, where each player can play Rock, Paper, or Scissors. The payoffs are in the form of (x, y), where Player 1 gets x and Player 2 gets y. Let P(xR) be the probability that Player 1 plays Rock, P(xP ) be the probability of playing Paper, and P(xS) be the probability of playing Scissors. Also, let P(yR) be the probability that Player 2 plays Rock, P(yP ) be the probability of playing Paper, and P(yS) be the probability of playing Scissors. Identify a mixed Nash equilibria in the game above and represent it using the probability notations above. i. e., what are the probabilities P(xR), P(xP ), P(xS), P(yR), P(yP ), and P(yS)? Show how you arrived at those probabilities.