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Consider the following sequential strategic situation, called the centipede game. The game has 100 stages. Two players take turns making decisions, starting with player 1. At stage t = 1, ..., 99, player 1 (if the stage is odd) or player 2 (if it is even) chooses wheter to "Terminate the Game" or to "Continue the Game." If the game is terminated at stage t = 1,...,99, the plater terminating the game recieves a payoff of t, while the other player recieves a payoff of zero. Finally, at stage t = 100, player 2 chooses between action A with a payoff of 99 for each player, or action B with a payoff of zero for player 1 and a payoff of 100 for player 2.
a) Draw the game tree for this strategic situation (the name of the game will become apparent then).
b) What is the backward induction solution to this game?
Jim sees commuting by bus and T as perfect substitutes (U = T + B), that is, he would exchange one commute by bus for one commute by T. The price of a bus ticket is $1.50 and the price of a T ticket is $2.00. Jim has $6.00 to spend on commuting. (a) ..
N players are competing for a prize of 20 dollars. Who wins the prize is determined as follows. Each player submits a real number between 0 and 100 simultaneously. A player wins if his number is the closest to 2 of the average of the numbers of all N..
Kelson Electronics, a manufacturer of VCRs, estimates the following relation between its marginal cost of production and monthly output: MC = $150 + 0.005Q. What does this function imply about the effect of the law of diminishing returns on Kelson's ..
Assume that all firms want to maximize profits, and that the price mechanism is allowed to freely fluctuate based upon market supply and demand. Appraise this statement: A monopolist will charge a lower price and produce a higher quantity of a good t..
A Bristish pharmaceutical company spent several years and considerable funds on the development of a treatment for HIV patients. Now,with the protection afforded by patent rights,the company has the potential to reap enormous gains.
The ABC Company manufactures digital clock radios and sells on average 3,000 units monthly at $25 each to retail stores. It's closest competitor produces a similar type of radio that sells for $28. If the demand for ABC's products has an elasticity c..
Explain what makes it the most effective economic system. Identify an example of the system being used in history. Explain what you perceive as the most effective economic system.
Which of the following is not a necessary precondition for economic growth?
Suppose the cost of producing a 30 second commercial for television is $100,000. If airtime on the evening news costs $200,000 and is viewed by 5 million people, what is the advertising cost per potential customer?
What is quantity traded? What price do buyers pay? What price do suppliers receive? Find consumer surplus, producer surplus, deadweight loss, and tax revenue.
Specialty Steel has carefully measured production in its new plant to determine whether it is technically efficient in production. It has found that, for its two inputs K and L, it has the following marginal products: MP_K = 12 units and MP_L = 20 un..
Consider the following two proposals to reform unemployment insurance. Explain the arguments for and against each reform. The insurance payment would be increased so that it replaced 100% of a worker's regular labor income for 26 weeks.
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