two firms face the direct market demand curve given Q = 15-p, where Q = 9₁ +92 and q2 are the quantities of firm 1 and firm 2, respectively. Suppose firm 1's total cost is ( and firm 2's total cost function is C₂ = 2q2. Suppose that the two firms act independen choose their outputs simultaneously as in the Cournot model. Show the basis and briefly what is going on as you answer each of the following questions. Your mark will depend up correctness of your basis and explanation. 1. What is the equation of the demand curve faced by firm 1? What is the equation demand curve faced by firm 2? 2. Find the output reaction function of each firm. 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?

two firms face the direct market demand curve given Q = 15-p, where Q = 9₁ +92 and q2 are the quantities of firm 1 and firm 2, respectively. Suppose firm 1's total cost is ( and firm 2's total cost function is C₂ = 2q2. Suppose that the two firms act independen choose their outputs simultaneously as in the Cournot model. Show the basis and briefly what is going on as you answer each of the following questions. Your mark will depend up correctness of your basis and explanation. 1. What is the equation of the demand curve faced by firm 1? What is the equation demand curve faced by firm 2? 2. Find the output reaction function of each firm. 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?

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

Two firms produce and sell differentiated products that are substitutes for each other. Their demand curves are Firm 1: Q, = 40 - 3P,+ P2 Firm 2: Q, = 40 - 3P2+ P, Both firms have constant marginal costs of $3.10 per unit. Both firms set their own price and take their competitor's price as fixed. Use the Nash equilibrium concept to determine the equilibrium set of prices. Since the firms are identical, they will set the same prices and produce the same quantities. In equilibrium, each firm will charge a price of $ and produce units of output. (Enter your responses rounded to two decimal places.)
Consider the Bertrand model and answer the question below related to the content. Assume that each firm in the Bertrand Duopoly model can only choose non-negative integer quantities: 0, 1, 2, ... . Assume the demand is Q(P)=10-P and the marginal cost is 0 for each firm. Given this information, which of the following is FALSE? [Hint: Check values of profit functions.] A. If firm 2 sets price equal to 1, then the best response of firm 1 to this price is 1 B. If firm 2 sets price equal to 4, then the best response of firm 1 to this price is 4 C. If firm 2 sets price equal to 2, then the best response of firm 1 to this price is 1
Suppose that firms in a two-firm industry choose quantities every month, and each month the firms sell at the market-clearing price determined by the quantities they choose. Each firm has a constant marginal cost, and the market demand curve is linear of the form P = a - bQ, where Q is total industry quantity and P is the market price. Suppose that initially each firm has the same constant marginal cost. Further suppose that each month the firms attain the Cournot equilibrium in quantities. a) Suppose that it is observed that from one month to the next Firm 1’s quantity goes down, Firm 2’s quantity goes up, and the market price goes up. A change in the demand and/or cost conditions consistent with what we observe is: i) The market demand curve shifted leftward in a parallel fashion. ii) The market demand curve shifted rightward in a parallel fashion. iii) Firm 1’s marginal cost went up, while Firm 2’s marginal cost stayed the same. iv) Firm 2’s…
Two firms sells an identical product. The demand function for each firm is given: Q = 20 - P, where Q = q1 + q2 is the market demand and P is the price. The cost function for reach firm is given: TCi = 10 + 2qi for i = 1, 2. a) If these two firms collude and they want to maximize their combined profit, how much are the market equilibrium quantity and price? b) If these two firms decide their production simultaneously, how much does each firm produce? What is the market equilibrium price? c) If Firm 1 is a leader who decides the production level first and Firm 2 is a follower, how much does each firm produce? What is the market equilibrium price?
In the Bertrand model, suppose that each firm has a marginal cost of £10 and that firm 1 sets a price of £9.99, which of the following a best-response for firm 2? Click all the correct answers. £10.01 £9.98 £10.00 £11.01 £9.99
There are two soda firms Pepsi and Coke in Bertrand completion . They face demand with the following features: If their price is the lowest Q = 40-.5P, if their price is the same they face demand of half of the market, and if their price is the higher they face demand of zero. Both firms have a marginal cost of 10. Describe each firms reaction functions and the equilibrium price and quantity for each firm. Show your work and clearly mark your answers. Request: Please provide a graph if applicable and don't provide the handwritten answer. Thank you! Your help is much appreciated!
cost function is c(y) An industry has two firms. Firm 1's cost function is c(y) = 3y + 200 and firm 2's 3y + 100. The demand curve for the output of this industry is a downward-sloping straight line. In a Cournot equilibrium, where both firms produce positive amounts of output: = The firm with higher fixed costs produces more. Both firms produce the same amount of output. There is less output than there would be if the firms colluded to maximize joint profits. It is not possible to tell because the demand function is not specified. The firm with lower fixed costs produces more.
cost function is c(y) An industry has two firms. Firm 1's cost function is c(y) = 3y + 200 and firm 2's 3y + 100. The demand curve for the output of this industry is a downward-sloping straight line. In a Cournot equilibrium, where both firms produce positive amounts of output: = The firm with higher fixed costs produces more. Both firms produce the same amount of output. There is less output than there would be if the firms colluded to maximize joint profits. It is not possible to tell because the demand function is not specified. The firm with lower fixed costs produces more.
The marginal cost of a product is fixed at MC = 20. The demand for the product is Q = 100 - 2P. (a) Now consider a Cournot model with two firms that are choosing quantities simultaneously. What is the best reply (best response) function for each firm? What is theNash equilibrium? What is the total surplus? (b)What do you expect the total surplus would be with three firms? Why? (You do not need to calculate an exact value. You can say ”total surplus is at least 100”, or ”total surplus is at most 80”)
solve 3 blanks
Two firms - firm 1 and firm 2 - share a market for a specific product. Both have zero marginal cost. They compete in the manner of Bertrand and the market demand for the product is given by: q = 20 − min{p1, p2}. 1. What are the equilibrium prices and profits? 2. Suppose the two firms have signed a collusion contract, that is, they agree to set the same price and share the market equally. What is the price they would set and what would be their profits? For the following parts, suppose the Bertrand game is played for infinitely many times with discount factor for both firms δ ∈ [0, 1). 3. Let both players adopt the following strategy: start with collusion; maintain the collusive price as long as no one has ever deviated before; otherwise set the Bertrand price. What is the minimum value of δ for which this is a SPNE. 4. Suppose the policy maker has imposed a price floor p = 4, that is, neither firm is allowed to set a price below $4. How does your answer to part 3 change? Is it now…
Three firms sell identical products in a market with inverse demand given by P(Q) = 590 - 4Q, where Q = q1 + q2 + q3, i.e., the sum of all quantities produced by all three firms. Each firm has a constant marginal cost of production MC = 18 and no fixed cost. Firm 1 chooses q1 first. Firms 2 and 3 simultaneously choose q2 and q3 after observing q1. Calculate the subgame perfect equilibrium profit of firm 2.