Use the following for the next 8 questions. Assume a husband and wife are deciding what to watch on TV on a Friday night

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Use the following for the next 8 questions. Assume a husband and wife are deciding what to watch on TV on a Friday night and that their payoffs are in units of happiness. There are two choices that each can say they want to watch: a football game or ice skating competition. If the husband says he wants to watch football and the wife says she wants to watch ice skating, the husband gets -2 and the wife gets O. If the husband says he wants to watch ice skating and the wife says she wants to watch football, the husband gets O and the wife gets O. If they both say they want to watch football, the husband gets 6 and the wife gets 4. If they both say they want to watch ice skating, the husband gets 3 and the wife gets 5.
Question 1 Which of the following is a pure strategy Nash equilibrium? (Choose all that apply) (Husband strategy, Wife strategy) (Ice Skating, Ice Skating) 2 pts (Football, Ice Skating) (Football, Football) (Ice Skating, Football)
Question 2 Consider the mixed strategy equilibrium. With what probability would would the wife play ice skating? Hint: enter as a decimal and round to four decimal places Example: if the answer is 83.2788%, enter .8328 Question 3 Consider the mixed strategy equilibrium. With what probability would would the wife play football? Hint: enter as a decimal and round to four decimal places. 4 pts 4 pts
D Question 4 Consider the mixed strategy equilibrium. With what probability would would the husband play ice skating? Hint: enter as a decimal and round to four decimal places Example: if the answer is 83.2788%, enter .8328 Question 5 Consider the mixed strategy equilibrium. With what probability would would the husband play football? Hint: enter as a decimal and round to four decimal places 4 pts 4 pts
D Question 6 If mixed strategies are employed, what is the wife's expected payoff? Hint: round to two decimal places Example: if the answer is 3.5688994, enter 3.57 Question 7 If mixed strategies are employed, what is the husband's expected payoff? Hint: round to two decimal places Example: if the answer is 3.5688994, enter 3.57 3 pts 3 pts
Question 8 Compared to the pure strategy Nash equilbrium, the wife is ________ off with the mixed strategy equilibrium and the husband is ________ off with the mixed strategy equilibrium. worse, better the same, worse worse, the same worse, worse better, better the same, better 2 pts better, the same better, worse