推 TINTINH :已收精華區:) 04/19 22:35
課程名稱︰個體經濟學二
課程性質︰必修
課程教師︰古慧雯
開課學院：社會科學院
開課系所︰經濟系
考試日期（年月日）︰99.04.12
考試時限（分鐘）：13:20-14:10 (50min)
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
15 points in total. You have to state your reasoning clearly. No point will be
given to an unexplained answer.
1.(2 points) Consider the following game. What is player A's strategy in a
subgame perfect equilibrium? (The first (second) element in the payoff vector
denote the payoff to A (B).)
/B1 1,2
A1-B
/ \B2 3,4
A
\ /B3 4,3
A2-B
\B4 2,1
2.(3 points) In the following game, the row player has pure strategies s1 and
s2 and the column player has pure strategies t1 and t2. The first (second)
element in the payoff vector denote the payoff to the row (column) player.
Please find a Nash equilibrium with mixed strategies.
│ t1 t2
─┼────
s1│1,2 2,1
│
s2│3,3 1,4
3.Suppose that a monopoly steel producer produces steel at zero marginal cost
and sells to a monopoly automaker at a price Ps. The automaker has no cost
other than the cost than the cost of steel, which is converted into cars at
the rate of one ton of steel to one car. There is no other way to produce a
car than to use a ton of steel. The demand for cars is given by Qc=100-Pc,
where Qc is the quantity of cars, and Pc is the price of car.
(a)(2 points) Please derive the automaker's marginal revenue function
MRc(Qc).
(b)(2 points) What is the equation for the automaker's demend curve for
steel?
(c)(2 points) If the steel producer acquires ownership of the automaker, how
many cars will be produced to maximize profit
4.A monopolist sells in market A and market B. The following figure depicts
demend curves in these markets and the monopolist's marginal cost curve.
Please duplicate this figure on your answer sheet before answering the
following questions.
(編按:圖略 橫軸為q，縱軸為p。 可繪圖為Da:p=100-q Db:p=50-2q MC:p=q)
(a)(2 points) It is known that the monopolist distribute his outputs q in two
markets in such a way that his total revenue could be maximized. Please
draw his marginal revenue curve MR(q) in your figure.
(b)(2 points) Please show in the figure how price for market A in determined.
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