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Two player . Jack and Jill, are put in separate rooms. Then each is told the rules of the game. Each is to pick one of six letters; G, K, L, Q, R, or W. If the two happen to choose the same letter, both get prizes as follows:
Letter
G
K
L
Q
R
W
Jack's prize
3
2
6
4
5
Jill's prize
1
If they choose different letters, each gets 0. This whole schedule is re vealed to both players, and both are told that both know the schedules, and so on.
(a) Draw the table for this game. What are the Nash equilibria in pure strategies?
(b) Can one of the equilibria be a focal point? Which one? Why?
Construct the normal form of game assuming consumers move simultaneously and choose between two strategies: "Adopt" or "Don't Adopt." Solve for any (pure strategy) Nash equilibria.
Suppose 70% of kids who visit the doctor have a fever, and 15% of kids with a fever have a sore throat. Whats the probability that a kid who goes to the doctor has a fever and a sore throat?
After collecting appropriate data, you find that 1148 customers chose to "Be A Glutton". Compute P-value and determine the conclusion of the test.
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.
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..
What is the probability of no off-the-job accidents during a one-year period (to 4 decimals)?
Find all mixed-strategy Nash equilibria and solve for all Nash equilibria and provide a justification for players' preferences over each of these equilibria.
A courier service advertises that its average delivery time is less than 6 hours for local deliveries. A random sample of times for 12 deliveries to an address across town was recorded.
A 40 year annuity due has level annual payments of $1000 except for the m-th payment which is $2000. When using an annual effective interest rate of 5%, the value of the annuity four years after the first payment is $22,722.53 Find M.
a supplier and a buyer who are both risk neutral play the following game the buyer orders a good of quality q ge0 from
Construct a 3x3 game in which there are two Nash equilibria in pure strategies and the vector of payoffs in both is "worse" than some other vector of payoffs in the game.
What is the average length of time a car is in the yard, in the bump area, and in the painting area? What is the average length of time from when a car arrives until it leaves?
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