高级微观经济学常见问题分析推荐.pptVIP

Solution: As we can write down the industry profit function In order to get the maximize industry profits,e.g.,the just differentiating it with respect to ,which gives us the equation: Because the first-order condition equals zero It meas that the output for the industry is 50 That’s all 3023004030 包佳杰 Since firm 2 can solve firm 1’s problem as well as firm 1 can solve it, firm 2 should anticipate that the quantity choice y2 will be met with the reaction R1(y2). Thus,firm 2’s problem in the first stage of the game is * * 16.7:Show that if for all x0, then the cartel solution involves ? In a Cartel industry, The first-order condition are: So Since for all x0 Then we can write it as: That is, Generally, the function C’(x) increases with the argument x, So But sometimes we cannot rule out the possibility that the function C’(x) decreases with the argument x from the graph of MC. Then By 傅琴 3023004020 16.10Consider an industry with 2 firms, each having Marginal costs equal to zero.the demand curve Facing the industry is P(Y)=100-Y Where Y=y1+y2 is total output. a)what is the competitive equilibrium level of Industry output? Solve: in a competitive industry, the price is Where So by p(Y)= 100-Y we can solve for Y=100 as the industry output presented by范倩蕾 Problem (b) b) If each firm behaves as a cournot competitor ,what is firm1s optimal choice given firm2s output? Firm 1 s optimal choice : When MR=MC, fjirm1 has its optimal choice Revenue=P(Y)*y1 F.O.C with respect to y1 100-2y1-y2=0 y1=50-y2/2 李楠 302300401 (c)calculate the cournot equilibrium amount of output for each firm Firm 1’s profit function is given by:P1(y1)=(100—（y1+y2）)y1—c2(y2) Firm 2’ profit function is given by: P2(y2)=(10