Question

In: Economics

Two firms compete under Cournot competition with constant marginal costs c1 = 2 and c2 =...

Two firms compete under Cournot competition with constant marginal costs c1 = 2 and c2 = 4. The market demand is P=18-Q .

a) Compute the market share of each firm, the market price, and the total quantity produced in the market.

b) [CHALLENGING] You later hear that the marginal cost of firm 2 increased, and realize that the market price is now P = 9. What is the new marginal cost c2 ?

Solutions

Expert Solution


Related Solutions

Show that in a Cournot duopoly with constant marginal costs (c1; c2) and linear demand function,...
Show that in a Cournot duopoly with constant marginal costs (c1; c2) and linear demand function, equilibrium quantities and profits of each firm are decreasing functions of the own marginal cost and increasing functions on the marginal cost of the rival firm.
1. Two firms compete in Cournot competition. Inverse demand in the market is given by P...
1. Two firms compete in Cournot competition. Inverse demand in the market is given by P = 1500 − 3 Q and each firm has constant marginal cost c = 420. a) Assuming there are no fixed costs, find the Cournot equilibrium market price and quantities produced by each firm. (20 points) b) Now suppose that each firm faces a non-sunk fixed cost of 20,000 if they produce at all. Would the firms still want to produce the amounts you...
Two firms compete with quantities as in Cournot. Each firm has a marginal cost of $12....
Two firms compete with quantities as in Cournot. Each firm has a marginal cost of $12. The industry demand is P=48-2Q. How much output will each firm produce individually?
N firms compete in a Cournot oligopoly. Each firm can produce at a constant average and...
N firms compete in a Cournot oligopoly. Each firm can produce at a constant average and marginal cost of AT C = MC = $5. Firms face a market demand demand curve given by Q = 53 − P. Where Q is the market quantity demanded with Q = Q1 + Q2 + .........QN 1. Find each firm’s reaction function taking into account that the firms are identical. 2. Calculate the Cournot-Nash equilibrium. What are the resulting market price and...
Consider a Cournot-competition under incomplete information. Two firms decide their quantity of production simultaneously. The market...
Consider a Cournot-competition under incomplete information. Two firms decide their quantity of production simultaneously. The market price P is determined by P = 100 − (q1 + q2). Assume that firm 1’s per-unit cost is commonly known at zero. On the other hand, firm 2’s per-unit cost is private information and is either at 0 or at 2. Suppose in the firm 1’s belief, the probability of c2 = 0 is 1 3 and the probability of c2 = 2...
Consider two identical firms in a Cournot competition. The market demand is P = a –...
Consider two identical firms in a Cournot competition. The market demand is P = a – bQ. TC1 = cq1 = TC2 = cq2 . Find the profit function of firm 1. Maximize the profit function to find the reaction function of firm 1. Solve for the Cournot-Nash Equilibrium. Carefully discuss how the slope of the demand curve affects outputs and price.
Consider Cournot model of quantity competition between two firms, firm 1 and firm 2. Suppose the...
Consider Cournot model of quantity competition between two firms, firm 1 and firm 2. Suppose the inverse demand for the firms product is given by ?=40(?+2)−(?+1)(?1+?2)p=40(A+2)−(B+1)(q1+q2), where ??qi denotes the quantity of firm ?i, ?=1,2i=1,2, ?A is 6 and ?B is 9. Each firm's average cost is equal to ?+2c+2, where ?c is 4. a) Derive and accurately plot each firm's best response function. b) Find the (Nash) equilibrium quantities, price, profits and consumer surplus. c) Suppose next that each...
A two-firm industry is characterized by Cournot competition. The two firms face a market demand given...
A two-firm industry is characterized by Cournot competition. The two firms face a market demand given by P = 200 - 2(QA + QB), where QA is firm A's output and QB is firm B's output. Each firm produces the product at a constant marginal cost of $40 (i.e. MC = 40) a.) What is firm 1's reaction function? b.) How many units of output does firm A produce? c.) what is the market price of each firm? d.) if...
(a) [15 marks] Consider two identical firms with no fixed costs and constant marginal cost c...
(a) [15 marks] Consider two identical firms with no fixed costs and constant marginal cost c which compete in quantities in each of an infinite number of periods. The quantities chosen are observed by both firms before the next round of play begins. The inverse demand is given by p = 1 − q1 − q2, where q1 is the quantity produced by firm 1 and q2 is the quantity produced by firm 2. The firms use ‘trigger strategies’ and...
8.6 Investment in the Future:   Consider two firms that play a Cournot competition game with demand...
8.6 Investment in the Future:   Consider two firms that play a Cournot competition game with demand p = 100 − q and costs for each firm given by ci(qi) = 10qi . Imagine that before the two firms play the Cournot game firm1 can invest in cost reduction.   If it invests the costs of firm 1 will drop to c1(q1) = 5q1. The cost of investment is F >0. Firm 2 does not have this investment opportunity.           a.  ...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT