6. Consider a duopoly in which inverse demand is given by P= 100-Q, where Pis the price and Q is aggregate output. The marginal cost of each firm is initially equal to 55 and there are no fixed costs. The firms compete by simultaneously setting quantities. (a) What is the equilibrium quantity of each firm, the equilibrium price and the profit of each firm? Now assume that one of the firms, firm 1, develops a new technology that reduces its own marginal cost to 25. (b) If firm 1 keeps this innovation for itself (so that the marginal cost of firm 2 is still 55), what will be the new equilibrium levels of output, price and profits of the two firms? What is the consumer surplus in the market? Do consumers benefit from the innovation?

6. Consider a duopoly in which inverse demand is given by P= 100-Q, where Pis the price and Q is aggregate output. The marginal cost of each firm is initially equal to 55 and there are no fixed costs. The firms compete by simultaneously setting quantities. (a) What is the equilibrium quantity of each firm, the equilibrium price and the profit of each firm? Now assume that one of the firms, firm 1, develops a new technology that reduces its own marginal cost to 25. (b) If firm 1 keeps this innovation for itself (so that the marginal cost of firm 2 is still 55), what will be the new equilibrium levels of output, price and profits of the two firms? What is the consumer surplus in the market? Do consumers benefit from the innovation?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Help me please
! How to do this question?
1. Consider a market where there are only two firms that produce a homogeneous product. The two firms face the direct market demand curve given Q = 15-p, where Q = 9₁ +92 and 9₁ and q2 are the quantities of firm 1 and firm 2, respectively. Suppose firm 1's total cost is C₁ = 9₁ and firm 2's total cost function is C₂ = 2q2. Suppose that the two firms act independently and choose their outputs simultaneously as in the Cournot model. Show the basis and briefly explain what is going on as you answer each of the following questions. Your mark will depend upon the correctness of your basis and explanation. 1. What is the equation of the demand curve faced by firm 1? What is the equation of the demand curve faced by firm 2? Find the output reaction function of each firm. 2. 3. Find the Nash-Cournot equilibrium quantity that each firm will produce. 4. At the Nash-Cournot equilibrium, at what price does each firm sell its output? 5. Find the consumer surplus, producer surplus at the…
7
Assume firms' marginal and average costs are constant and equal to c and that inverse market demand is given by P = a - bQ where a, b > 0. Suppose now the market is served by 2 firms (one leader, and one follower) that choose quantities for their identical products. Calculate: i. ii. iii. iv. The Nash equilibrium quantities for the Stackelberg duopolists Market output Market price Firm profit
With formula
Consider a Cournot Duopoly model. The inverse demand for their products is given byP = 200 − 6Q, where Q is the total quantity supplied in the market (that is, Q = Q1 + Q2). Each firm has an identical cost function, given byT Ci = 2Qi, for i = 1, 2.(a) In the Cournot model, what does each firm choose?(b) What is the timing of each firm’s decision?(c) Find the Nash equilibrium quantities (Q∗1, Q∗2)?(d) What is the equilibrium price? Just help with c and d here please
8. There are several identical firms in a market. The cost function of firm i is q? +q, where q; is the output of this firm, and q is the sum of other firms' output. The market 5 demand is q(p) =-1 p. We assume that all firms are Cournot oligopolists, and the market is free entry. In equilibrium the number of firms in the market is А. 5 В. 4 С.3 D. 2
Please solve it complete with details and explanation
6. Two identical firms that have the cost function C(q) = 4qj, where j = {1,2} are competing in a homogenous good market. The two firms make simultaneous decisions on price, and they face industry demand Q(P) = 20-p. What is the Bertrand-Nash equilibrium profit of each firm? Hints for (b) and (c): Solve for each firm j's output (q;) and use the fact that Ij = p;qj - Cj(qj). b. Now, suppose the two firms are deciding whether to set a collusive market price of $6 (this means that they would both charge $6). Solve for their profits under this pricing scheme. a. C. If one of the firms decides to deviate from the collusive scheme and undercut its rival's price by $1, how much profit would it earn?
E1 Find Bertrand equilibrium and its outputs for the following asymmetric duopoly:q 1(p1, p2) = 16 - p1 + 0.5 p2, C1(q1) = 4q1;q 2(p1, p2) = 16 + 0.5 p1 - p2, C2(q2) = 6q2.(Note that the average and marginal costs are: AC1=MC1 = c1 = 4, AC2=MC2 = c2 = 6)
9. Two firms compete by choosing price. Their demand functions are q1 = 20 – pı + P2 and q2 = 20 – P2 + P1. Marginal costs are zero a) Suppose the two firms set their prices at the same time. Find the resulting NE. What 2 price will each firm charge, how much will it sell, and what will its profit be? b) Suppose Firm 1 sets its price first and then Firm 2 sets its price. What price will each firm charge, how much will it sell, and what will its profit be? c) Suppose there are three ways this game can be played: both firms set price at the same time; firm 1 sets its price first; firm 2 sets its price first. If firm 1 can choose among these options, which would it prefer?