3. Rock Paper Scissor i. Illustrate the simultaneous game of Rock Paper Scissors using a payoff matrix (fine to draw by hand and take a picture to include in your homework). Assume that a winning hand signal gives one point, a losing hand signal results in zero point, and a tie is zero point for both players. Scissors beats paper Paper beats rock Rock beats scissors ii. Is there a dominant strategy? Explain your answer. iii. Does this game have a Nash equilibrium? Explain why. iv. Suppose the game is modified such that players get one point each when there is a tie. Draw a new payoff matrix. What is/are the Nash equilibrium/a)