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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.
assume two classmates a and b are assigned an extra group project. each student can choose to shirk or work. if one or
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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. What is the probability that a randomly cho..
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Construct a 95% confidence interval estimate for the population mean price for two movie tickets, with online service charges, large popcorn, and two medium soft drinks, assuming a normal distribution.
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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.
You randomly call friends who could be potential partners for a dance. You think that they all respond to your requests independently of each other, and you estimate that each one s 7% likely to accept your request. Let X denote the number of call..
Construct a 3 x 3 game in which there is only one Nash equilibrium in pure strategies and the vector of payoffs in this equilibrium is "worse" than some other vector of payoffs in the game.
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