Consider a market with 2 sellers and b buyers labelled 1; 2; 3; : : : b+2, where the first two players are sellers. Assume each buyer wants to buy an identical good worth 0 to each seller and worth 1 to each buyer. Also assume that each seller has k
identical goods, where k < b < 2k.
i) Write down the characteristic function for the above problem.
ii) Is the Gillies’ core for the above problem non-empty? If yes, display one vector in it.
iii) Find the Shapley values if k = 3 and b = 5.

Suppose that jim plans to borrow money for an education at texas a& m university. jim will need to borrow $25,000 at the end of each year for the next five years (total=$125,000). jim wishes his parents could pay for his education but they can’t. at least, he qualifies for government loans with a reduced interest rate while he is in school. he has a special arrangement with aggiebank to lend him the money at a subsidized rate of 1% over five years without having to make a payment until the end of the fifth year. however, at the end of the fifth year, jim agrees to pay off the loan by borrowing from longhorn bank. longhorn bank will lend him the money he needs at an annual interest rate of 6%. jim agrees to pay back the longhorn bank with 20 annual payments and the payments will be uniform (equal annual payments including principal and interest). (i) calculate how much money jim has to borrow at the end of 5 years to pay off the loan with aggiebank. a. $121,336 b. $127,525 c. $125,000 d. $102,020 e. none of the above

What is the correct percentage of texas teachers charged with ethics violations each year?

Biochemical corp. requires $600,000 in financing over the next three years. the firm can borrow the funds for three years at 10.80 percent interest per year. the ceo decides to do a forecast and predicts that if she utilizes short-term financing instead, she will pay 7.50 percent interest in the first year, 12.15 percent interest in the second year, and 8.25 percent interest in the third year. assume interest is paid in full at the end of each year. a)determine the total interest cost under each plan. a) long term fixed rate: b) short term fixed rate: b) which plan is less costly? a) long term fixed rate plan b) short term variable rate plan