Consider a game in which there are 3 people. each player can either participate or not participate in a revolution. if at least 2 people participate, the revolution succeeds. if the revolution succeeds, each player gets a benefit of b. if the revolution fails, each player gets a benefit of 0.

each player who participates bears a cost c < b, whether or not the revolution succeeds.

(a) write down each player’s best response correspondence.

(b) is it a nash equilibrium for no players to participate? why or why not?

(c) is there a nash equilibrium in which only one player participates? why or why not?

(d) is there a nash equilibrium in which only two players participate? why or why not?

(e) is it a nash equilibrium for all three players to participate? why or why not?

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Suppose that xtel currently is selling at $40 per share. you buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. the rate on the margin loan is 8%. a. what is the percentage increase in the net worth of your brokerage account if the price of xtel immediately changes to (a) $44; (b) $40; (c) $36? (leave no cells blank - be certain to enter "0" wherever required. negative values should be indicated by a minus sign. round your answers to 2 decimal places.) b. if the maintenance margin is 25%, how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.) c. how would your answer to requirement 2 would change if you had financed the initial purchase with only $10,000 of your own money? (round your answer to 2 decimal places.) d. what is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if xtel is selling after one year at (a) $44; (b) $40; (c) $36? (negative values should be indicated by a minus sign. round your answers to 2 decimal places.) e. continue to assume that a year has passed. how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.)

The green fiddle has declared a $5 per share dividend. suppose capital gains are not taxed, but dividends are taxed at 15 percent. new irs regulations require that taxes be withheld at the time the dividend is paid. green fiddle stock sells for $71.50 per share, and the stock is about to go ex-dividend. what will the ex-dividend price be?