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Two people take turns removing stones from a pile of n stones. Each person may, on each of her turns, remove either one or two stones. The person who takes the last stone is the winner; she gets $1 from her opponent. Find the subgame perfect equilibria of the games that model this situation for n = 1 and n = 2. Find the winner in each subgame perfect equilibrium for n = 3, using the fact that the subgame following player 1's removal of one stone is the game for n = 2 in which player 2 is the first mover, and the subgame following player 1's removal of two stones is the game for n = 1 in which player 2 is the first mover. Use the same technique to find the winner in each subgame perfect equilibrium for n = 4, and, if you can, for an arbitrary value of n.
1-Concisely explain the economic role of brokers, dealers, investment bankers and the role of the New York Stock Exchange specialist 2-If a bond dealer bought a $100,000 municipal bond at 92% of par and sold it at 96% of par
company has issued a 10-year bonds, with a face value of $1,000,000 in $1,000 units. Interest at 8% is paid quarterly. if an investor desires to earn 12% nominal interest (compounded quarterly) on $10,000 worth of these bonds,
Suppose that everyone is risk neutral, potential car buyers value lemons at $1,000 and good used cars at $3,000, the reservation price of lemon owners is $750, and the reservation price of owners of high quality used cars $1,750.
Compute the price elasticity of demand for pies at the firm's mean price: ($7.50) and mean weekly sales quantity (20,000 pies). Next, compute the cross-price elasticity of demand. Comment on these estimates.
A company is considering buying a new bottle-capping machine. The initial cost of the machine is $325,000 and it has a 10-year life. Monthly maintenance costs are expected to be $1200 per month for the first 7 years and $2000 per month for the rem..
Agrigrow is to purchase a tractor for over-the-road hauling for $90,000. It is expected to be of use to the company for 6 years, after which it has a salvage value for $4,000. Transportation cost savings are expected to be $63,000 per year, includ..
A project generates decreasing cash flows, $10,000 one year from now, decreases $1,000 every year and the project at the end of year 6 (6 years from now). At an annual interest rate of 12%.what type of Gradient is this
Alistair deposited $10,000 on July 1, 2005, in a first fund that gives interest of 31?2 percent compounded semiannually and matures on June 1, 2012. He knows that, on December 18, 2012, he can deposit money in a second fund.
Suppose that the household decides to consume 26,000 in period 1 and 32,000 in period 2. Now suppose that the interest rate falls 50 percent, and the household decides not to borrow or lend at all. Is the household better off or worse off with the..
You enroll in a thrift plan in which you are allowed to contribute 8% of your pretax salary per year. The company contributes an additional 6%. Your starting salary is $62,500 and you can expect annual increases of 3.5%.
According to the chief engineer at the Zodiac Company, Q = ALf Kf , where Q is the output rate, L is the rate of labor input, and K is the rate of capital input. Statistical analysis indicates that f = 0.8 and f = 0.3. The firm's owner claims the ..
One alternative way (from the formula on p. 419) to calculate the total change in money supply when the Fed injects money into the economy or takes away money from the economy is the amount of money injected or taken away by the Fed times the mone..
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