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Suppose two players, A and B, select from three different numbers, l, 2, and 3. Both players get dollar prizes if their choices match, as indicated in the following table.
B
1
2
3
A
10,10
0,0
15,15
(a) What are the Nash equilibria of this game? Which, if any, is likely to emerge as the (focal) outcome? Explain.
(b) Consider a slightly changed game in which the choices are again just n umbers bu t the two cells with (15, 15) in the table become (25, 25). What is the expected (average) payoff to each player if each flips a coin to decide whether to play 2 or 3? ls this better than focusing on both choosing l as a focal equilibrium? How should you account for the risk that A might do one thing while B does the other?
A sample set of 29 scores has a mean of 76 and a standard deviation of 7. Can we accept the hypothesis that the sample is a random sample from a population with a mean greater than 72? Use alpha = 0.01(1-tail) in making your decision.
There is 0.02% probability that a credit card holder of a company reports the loss or theft of the credit card each month. The company has 15,000 credit cards in Memphis. Use the Poisson distribution to answer the following questions.
q. 1 hawk-dove two animals are fighting over some prey. each can choose one of two stances passive or aggressive. each
A famous hypnotist performs to a crowd of 350 students and 180 non-students. The hypnotist knows from previous experience that one half of the students and two third on the non-students are hypnotizable.
Use the above survey results to test the claim that less than half of all Ohio State female students who, if they had a cell phone, would be willing to walk somewhere after dark that they would normally not go. What is the value of the test statis..
Determine the solution to the given advertising decision game between Coke and Pepsi, assuming the companies act independently.
A scooter factory runs three assembly lines, A, B, and C. 98.9% of line A's scooters pass inspection, while only 97.8% of line B's scooters and 98.5% of line C's scooters pass inspection.
Explain from firm A's perspective the expected decision that firm B will make and does situation have a Nash Equilibrium?
Consider the two-period repeated game in which this stage game is played twice and the repeated-game payo s are simply the sum of the payo s in each of the two periods.
It costs each company Brokely $3,000 per period to use filters that avoid polluting the lake. However, each company must use the lake's water in production
Does each firm have a dominant strategy? If so, explain and what that strategy is and what is the Nash equilibrium? Explain where the Nash equilibrium occurs in the payoff matrix.
Planning Parenthood, a national organization that assists teenage mothers with pregnancy, estimates that approximately 37% of the women coming into the center had contracted a sexually transmitted infection. They wish to plan a study to obtain a m..
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