2. (5 points each) a. Show the payoff matrix of a normal form game with two players for a rock-paperscissors game where the payoff is 1 if you lose, 0 if you tie, and 1 if you win. Create this table in excel and paste it here, or draw it on paper take a picture and insert that picture here b. Is there a nash equilibrium, a dominant strategy, or a secure strategy? What is it if so, and if not why isn't there one? c. You happen to be talking to a 10-year-old cousin of yours who says, "Everyone knows you always start with scissors. Rock is way too obvious, and scissors beats paper." Another young cousin of yours overhears this and says, "If a person is a beginner, scissors was definitely the safest." Evaluate these comments on what your strategy might be if you were going to play rock-paper-scissors against another college student. Write at least 3-4 sentences. 2. (5 points each) a. Show the payoff matrix of a normal form game with two players for a rock-paperscissors game where the payoff is 1 if you lose, 0 if you tie, and 1 if you win. Create this table in excel and paste it here, or draw it on paper take a picture and insert that picture here b. Is there a nash equilibrium, a dominant strategy, or a secure strategy? What is it if so, and if not why isn't there one? c. You happen to be talking to a 10-year-old cousin of yours who says, "Everyone knows you always start with scissors. Rock is way too obvious, and scissors beats paper." Another young cousin of yours overhears this and says, "If a person is a beginner, scissors was definitely the safest." Evaluate these comments on what your strategy might be if you were going to play rock-paper-scissors against another college student. Write at least 3-4 sentences