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This exercise shows that an extensive-form perfect equilibrium is not necessarily a strategic-form perfect equilibrium. In the following game, find an extensive-form perfect equilibrium that is not a strategic-form perfect equilibrium.
Does the game have another Nash equilibrium? Does it have another subgame perfect equilibrium?
If an applicant to a university has taken test A and scored 910 and another student has taken test B and scored 33, compare these students score using Z-values. Which one has a higher relative score?
Compare the people's comfort in the equilibria of the two games. Suppose that each person cares only about her own comfort. Model the situation as a strategic game. Is this game the Prisoner's Dilemma?
Let i be a player with perfect recall in an extensive-form game and let bi be a behavior strategy of player i.- Prove that there exists a unique mixed strategy σi equivalent to bi.
assume there are two countries involved in a war. country a is considering invading country b through a bridge which is
Advanced Micro Devices declared a 10 percent price raise for certain advanced microprocessors, used primarily in video games. The processors will sell for about $1,000 compared to Intel's $950 price.
Suppose this reliability cannot be met, and the actual median is 20,000. So the company instead implements a preventive maintenance policy with a maintenance cycle of 4,000 hours. What is the new reliability at 10,000 hours?
What is the set of Nash equilibria for k m? For k = m = 1, is the game the same (except for the names of the actions) as any considered so far in this chapter?
you a real-estate developer own a piece of land in nassau bahamas next to an equal size piece of land owned by a
ind firm i's best-response function as a function of Q-i . Graph this function - Compute the Nash equilibrium of this game. Report the equilibrium quantities, price, and total output.
Do you have enough information to calculate the probability that player 2 selects X in equilibrium? If so, what is this probability?
William and Henry are participants in a televised game show, seated in separate booths with no possibility of communicating with each other.- Describe this situation as strategic-form game. What is the resulting game?
Assuming the life length of batteries is normally distributed, what is the p-value associated with this test? Place your answer, rounded to 3 decimal places in the blank. For example, 0.0234 would be a legitimate entry.
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