explain your answers clearly . Q.3 Tamara is deciding whether to stay home or call her boyfriend.
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Q.3 Tamara is deciding whether to stay home or call her boyfriend. If she stays home, she and her boyfriend each get a payoff of 2. If she calls her boyfriend, a simultaneous decision-making process will begin about which movie to see, whose strategic form is given below (with Tamara as the Row player and Boyfriend as the column player). Batman Spiderman Batman 6,3 1,1 Spiderman 1,1 2,5 3.1. Represent the entire game (including the decision to call or not), in extensive form. How many subgames are there? (10 points) 3.2. Consider the movie-choice subgame. a. Write down the expected payoffs for each player as a function of the other player's mixed strategy. (5 points) b. Graph the expected payoffs. (5 points) c. Write Down the best-reply functions of each player. Graph them. (15 points) d. Find all Nash equilibria in this subgame. (10 points) 3.3. Find all subgame perfect Nash equilibria in pure strategies for the entire game. (15 points) 04 Consider the following simultaneous move game between Row Player and Column Player Q.3 Tamara is deciding whether to stay home or call her boyfriend. If she stays home, she and her boyfriend each get a payoff of 2. If she calls her boyfriend, a simultaneous decision-making process will begin about which movie to see, whose strategic form is given below (with Tamara as the Row player and Boyfriend as the column player). Batman Spiderman Batman 6,3 1,1 Spiderman 1,1 2,5 3.1. Represent the entire game (including the decision to call or not), in extensive form. How many subgames are there? (10 points) 3.2. Consider the movie-choice subgame. a. Write down the expected payoffs for each player as a function of the other player's mixed strategy. (5 points) b. Graph the expected payoffs. (5 points) c. Write Down the best-reply functions of each player. Graph them. (15 points) d. Find all Nash equilibria in this subgame. (10 points) 3.3. Find all subgame perfect Nash equilibria in pure strategies for the entire game. (15 points) 04 Consider the following simultaneous move game between Row Player and Column Player
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