QUESTION ONE
[25 MARKS]
Alex is deciding whether to make a loan to Brian who is very poor and who has a bad credit
history. Simultaneous to Alex making this decision, Brian must decide whether or not to buy
gifts for his grandkids. If he buys gifts, he will be unable to repay the loan. Ifhe does not buy
gifts, he will repay the loan. If Alex refuses to give Brian a loan, then Brian will have to go to
a loan shark.
If Alex refuses to make a loan to Brian and Brian buys gifts then both Alex and Brian get 0. If
Alex refuses to make a loan to Brian and Brian does not buy gifts then Alex gets 0 and Brian
gets -1. If Alex makes a loan to Brian and Brian buys gifts then Alex gets -2 and Brian gets 7.
If Alex makes a loan to Brian and does not buy gifts, then Alex gets a payoff of 3 and Brian
gets a payoff of 5.
a) Identify players in this game
[4 marks]
b) What are their strategies
[8 marks]
c) Construct the matrix with their payoff
[8 marks]
d) Does the game have a dominant strategy and nash equilibrium?
[5 marks]
QUESTION TWO
[25 MARKS]
John has the utility functionU(Z, B) = 10ZD.4B0·6, where Z denotes the amount of food
consumed and B the amount of clothing. Now suppose that he has an income of N$1000 per
week and that the price of clothing is Pb = N$20 per unit. Suppose that the price of food is
initially Pz1 = N$40 per unit and that the price subsequently falls to Pz2 =N$20 per unit. Let us
assume food is on the x-axis and clothing is on the y-axis.
a) Define and calculate income effect because of a decrease in price of food and use a well
labelled graph to present your answer.
[10 marks]
b) Define and calculate substitution effect because of a decrease in price and use a well
labelled graph to present your answer.
[10 marks]
c) Combine the graph in a) and b) to show the total effect of the decrease in price of food.
[5 marks]
QUESTION THREE
[25 MARKS]
a) There are two goods (good x and goody) to spend your income (I). The utility function is
= U(X, Y) lOX 0·1 Y, good Y is a composite good, price of good Xis N$5.00 and
consumer's income is N$100. The price of good X decreases to N$2.50 while the price of
the composite good and consumer's income remain the same.
Is good X a normal, inferior or giffen good?
[15 marks]
b) D1 =100 - 0.2P represent the initial individual demand curve, D2 =140 - 0.2P represent
individual new demand curve associated with positive network externalities and the
market demand = 150 -0.5P. Calculate the pure price effect and bandwagon effect.
[10 marks]
2