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Consider a version of the Cournot doupoly game (described in earlier exercises), where firms 1 and 2 simultaneously and independently select quantities to produce in a market.
The quantity selected by firm i is denoted qi and must be greater than or equal to zero, for i = 1, 2. The market price is given by p = 100 - 2q1 - 2q2 . Suppose that each firm produces at a cost of 20 per unit. Further, assume that each firm's payoff is defined as its profit.
Is it ever a best response for player 1 to choose q1 = 25?
Suppose that player 1 has the belief that player 2 is equally likely to select each of the quantities 6, 11, and 13.
What is player 1's best response?
Determine which pair of strategies would competing companies A and B choose given this payoff matrix?
If so, find a payoff function consistent with the information. If not, show why not. Answer the same questions when, alternatively, the decision-maker prefers the lottery.
Consider a guessing game with ten players, numbered 1 through 10. - What is the set of rationalizable strategies for each player in this game?
Suppose that the MBA education industry is constant cost and is in long run equilibrium. Demand raise, but due to strict accreditation standards, new companies are not allowed to enter the market.
You have observed the following returns over time. Suppose that the risk free rate is 6 percent and the market risk premium is 5 percent.
Examine the common price setting strategies of airlines that use game theory. Predict the potential effects of such pricing strategies on the demand for seats, and conclude the resulting impact on the profitability of the airlines
A lottery requires that you select six different numbers from the integers 1 to 49. Write a Java program that will do this for you and generate five sets of six numbers as a result.
a consider the same game as in question above but suppose t is not known.instead we know that the game continues with
A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the standard error of the mean.
Demand for airline tickets fluctuates throughout the year, which affects the price of an airline ticket. Suggest the type of game that may be most appropriate for a specific airline to play to address the differences in demand and elasticity and the ..
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.
If each group had 15 officers, how would you characterize the performance of the typical officer in each squad?
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