Question

Consider a market with two horizontally differentiated firms, X and Y. Each has a constant marginal...

Consider a market with two horizontally differentiated firms, X and Y. Each has a constant marginal
cost of $20. Demand functions are:
?? = 80 – 2?? + ??
?? = 80 – 2?? + ??

Calculate the Bertrand equilibrium in prices in the market. (You must show steps. Just
writing the answer is NOT acceptable)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a market with two horizontally differentiated firms, X and Y. Each has a constant marginal...
Consider a market with two horizontally differentiated firms, X and Y. Each has a constant marginal cost of $20. Demand functions are: ?? = 80 – 2?? + ?? ?? = 80 – 2?? + ?? a) (10 points) Calculate the Bertrand equilibrium in prices in the market. (You must show steps. Just writing the answer is NOT acceptable) b) (5 points) Now suppose firm X undertakes a process innovation that reduces its marginal cost of production from $20 to...
2. Consider a market with two horizontally differentiated firms, X and Y. Each has a constant...
2. Consider a market with two horizontally differentiated firms, X and Y. Each has a constant marginal cost of $10. Demand functions are: Qx = 100 –2Px + Py Qy = 100 –2Py + Px Suppose the two firms are infinitely lived and have a discount factor of δ. Write down a trigger strategy that could make cooperation sustainable on a collusive price of 60 in an infinitely repeated duopoly game in the above model. What is the condition on...
Suppose that Pepsi and Coke are competing in a horizontally differentiated Bertrand market and setting prices....
Suppose that Pepsi and Coke are competing in a horizontally differentiated Bertrand market and setting prices. The demand curves are as follows: QC = 60 ? 2PC + 1PP QP = 90 ? 5PP + 4PC Coke face marginal cost MCC = 4 and Pepsi faces marginal cost MCP = 8. (a) Write the equation for the demand for coke in terms of price PC as a function of PP and QC . (b) Determine the marginal revenue for Coke...
Consider a duopoly with each firm having different marginal costs. Each firm has a marginal cost...
Consider a duopoly with each firm having different marginal costs. Each firm has a marginal cost curve MCi=20+Qi for i=1,2. The market demand curve is P=26−Q where Q=Q1+Q2. What are the Cournot equilibrium quantities and price in this market? What would be the equilibrium price in this market if the two firms acted as a profit-maximizing cartel ((i.e., attempt to set prices and outputs together to maximize total industry profits ))? What would be the equilibrium price in this market...
There are 3 firms in a market with differentiated products. The marginal cost of production for...
There are 3 firms in a market with differentiated products. The marginal cost of production for each firm is c=20. There are no fixed costs. The system of inverse demands in this market is given by: P1=120-q1-0.5(q2+q3) P2=120-q2-0.5(q1+q3) P3=120-q3-0.5(q1+q2) And the corresponding demand system is q1=60-1.5P1+0.5(P2+P3) q2=60-1.5P2+0.5(P1+P3) q3=60-1.5P3+0.5(P1+P2) a. Suppose the 3 firms operate independently, and choose prices simultaneously. Find the best response function of each firm to the prices of its two rivals. b. Find the equilibrium prices, and...
Question 2 Consider the following Bertrand game involving 2 firms producing differentiated products. Firms have no...
Question 2 Consider the following Bertrand game involving 2 firms producing differentiated products. Firms have no costs of production. Firm 1’s demand is q1 = 1-p1 + bp2, where b > 0. A symmetric equation holds for firm 2’s demand. a. Solve for the NE of the simultaneous price-choice game b. Compute the firms’ outputs and profits. c. Represent the equilibrium on a best-response function diagram. Show how an increase in b would change the equilibrium.
Consider a market with only two firms. Demand on this market is given by D(p)= 90...
Consider a market with only two firms. Demand on this market is given by D(p)= 90 - 3p. Initially both firms have the same constant per-unit cost, specifically c1 = c2 = 20 . (a) What is the Nash equilibrium in this market if firms behave as Bertrand competitors? How much does each firm produce, what price do the firms charge, and what are their profits? (b) Now suppose that firm 1 acquires a new production technique that lowers its...
) Suppose two identical firms with the constant marginal cost produce the same product and compete...
) Suppose two identical firms with the constant marginal cost produce the same product and compete in the market. (10) under which model the equilibrium profit for each firm must be zero? Bertrand or Cournot model, or neither
Consider a Bertrand oligopoly consisting of four firms that produce an identical product at a marginal...
Consider a Bertrand oligopoly consisting of four firms that produce an identical product at a marginal cost of $120. The inverse market demand for this product is P = 500 -2Q. a. Determine the equilibrium level of output in the market. b. Determine the equilibrium market price. c. Determine the profits of each firm.
Consider a market with two identical firms. The market demand is P = 26 – 2Q,...
Consider a market with two identical firms. The market demand is P = 26 – 2Q, where Q = q1 + q2. MC1 = MC2 = 2. 1. Solve for output and price with collusion. 2. Solve for the Cournot-Nash equilibrium. 3. Now assume this market has a Stackelberg leader, Firm 1. Solve for the quantity, price, and profit for each firm. 4. Assume there is no product differentiation and the firms follow a Bertrand pricing model. Solve for the...