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(Selfish and altruistic social behavior) Two people enter a bus. Two adjacent cramped seats are free. Each person must decide whether to sit or stand. Sitting alone is more comfortable than sitting next to the other person, which is more comfortable than standing.
a. Suppose that each person cares only about her own comfort. Model the situation as a strategic game. Is this game the Prisoner's Dilemma? Find its Nash equilibrium (equilibria?).
b. Suppose that each person is altruistic, ranking the outcomes according to the other person's comfort, and, out of politeness, prefers to stand than to sit if the other person stands. Model the situation as a strategic game. Is this game the Prisoner's Dilemma? Find its Nash equilibrium (equilibria?).
c. Compare the people's comfort in the equilibria of the two games.
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..
Suppose you and your classmate are assigned a project on which you will earn one combined grade. You each wish to receive a good grade, but you also want to avoid hard work.
While grading in a final exam, an economics professor found that two students have virtually identical answers. She is convinced two cheated but cannot prove it.
After researching cysts of a particular type, a doctor learns that out of 10,000 such cysts examined, 1,500 are malignant and 8,500 are benign. A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not)..
Express the following in the Σ notation and What is the value of b - Find the P( X ≤ 2 ); prob( X ≤ 3 ); prob( 2 ≤ x ≤ 3).
A certain tennis player makes a successful first serve 75% of the time. Assume that each serve is independent of the others. If she serves 5 times, what's the probability she gets:
Explain to player four why his guess was strictly dominated by another guess - Explicitly check every condition that you need to check to show that s' Pareto dominates s.
Draw the best-response curves for both players, and indicate the mixed strategy equilibrium on your diagram. Verify that there is no pure-strategy equilibrium in this game, and then find the mixed-strategy equilibrium.
A firm incurs production costs C(q) = F + mq, and transportation costs T(q) = aq + ????2, where q is the output of each of its plants. What is the optimal plant size, and how does it vary with the parameters F, m, a and b?
Suppose that you do a test for H0: μ = 6 against HA: μ &neq; 6 you obtain a sample mean of 6.5 and the test gives you a a p-value of 6%. We want to connect the p-value to the confidence interval for the mean.
1. sun resortssun resorts has a hotel on a caribbean island. it recently spent money to lobby the government to build a
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..
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