Carlos and Yifan compete in Cournot competition. Demand in their market is given by P=144-2Q. Carlos has a constant marginal cost of 8; Yifan has a constant marginal cost of 10. This is a one-shot game. Please enter all answers as numbers to two decimal places (e.g. XX.XX).
What is the prevailing price in the Nash equilibrium of this game?
Carlos and Yifan compete in Cournot competition. Demand in their market is given by P=144-2Q. Carlos...
Coke and Pepsi compete in price competition. However, their products are differentiated – people can taste the difference! Demand for Coke is given by Qc= 28-4Pc+0.1Pp. Demand for Pepsi is given by Qp = 24-2Pp+0.1Pc. The (constant) marginal cost for Coke is 3. The (constant) marginal cost for Pepsi is 4. What is the equilibrium price of Coke in this one-shot, simultaneous move game? Give your answer to two decimal places, for example, XX.XX.
Consider a market with two firms in Cournot (quantity) competition. Market demand is given by q(p) = a − p. Each firm faces a constant marginal cost of c. a. (15 points) Suppose that the government imposes a unit tax of δ, so that if a firm sells q units of the good, that firm owes q · δ to the government. Find the equilibrium quantity, price paid by consumers, consumer surplus, and tax revenue. Your answers should be functions...
3. Cournot Competition (26 points) Consider a Cournot model. The market demand is p=130-41-42. Firm l's marginal cost is 10. and firm 2's marginal cost is also 10. There are no fixed costs. A. (10 points) Derive the best response function for each firm. B. (6 points) Find the Nash Equilibrium.
2. (Cournot Model) Consider a Cournot duopoly. The market demand is p=160 - q2. Firm 1's marginal cost is 10, and firm 2's marginal cost is also 10. There are no fixed costs. A. Derive each firm's best response function B. What is the Nash equilibrium of this model? Find the equilibrium market price. C. Find the equilibrium profit for each firm D. Find the equilibrium consumer surplus in this market. 3. (Bertrand Model) Consider a Bertrand duopoly. The market...
A duopoly faces a market demand of p 180-Q. Firm 1 has a constant marginal cost of Mc1 -S20. Firm 2s constant marginal cost is MC2 $40. Calculate the output of each firm, market output, and price if there is (a) a collusive equilibrium or (b) a Cournot equilibrium The collusive equilibrium occurs where q, equals and q2 equals (Enter numeric responses using real numbers rounded to two decimal places) Market output is The collusive equilibrium price is S The...
1. Consider the following asymmetric version of the Cournot duopoly model. Two firms compete by simultaneously choosing the quantities (q, and q2) they produce. Their products are homogeneous, and market demand is given by p- 260-2Q, where Q-q +q2. Firm 1 has a cost advantage; Firm 1 produces at zero cost, while Firm 2 produces at a constant average cost of 40. (The difference in costs is what makes this an asymmetric game.) a. Derive both firms' profit functions, as...
Suppose the two firms cannot collude and instead compete in the Cournot Model in the market described in question 1 (market demand is still Q=18-P) with the same cost (C(Q)=1/2 *Q^2). Set up firm 1’s profit maximization. Solve for firm 1’s best response function. Solve for firm 1’s quantity, firm 2’s quantity, the equilibrium market quantity, and price. Show your work. Is this a Nash equilibrium? Do consumers prefer the Cournot competition equilibrium over the collusion of the two firms...
Two firms sell identical products and compete as Cournot (price-setting) competitors in a market with a demand of p = 150 - Q. Each firm has a constant marginal and average cost of $3 per unit of output. Find the quantity each firm will produce and the price in equilibrium.
Suppose two firms cannot collude and compete in the Cournot Model. Market demand is Q = 18 – P with the cost (c(Q) =*Q). a. Set up firm l's profit maximization. b. Solve for firm l's best response function. c. Solve for firm l's quantity, firm 2's quantity, the equilibrium market quantity, and price. Show your work. d. Is this a Nash equilibrium?
EC202-5-FY 10 9Answer both parts of this question. (a) Firm A and Firm B produce a homogenous good and are Cournot duopolists. The firms face an inverse market demand curve given by P 10-Q. where P is the market price and Q is the market quantity demanded. The marginal and average cost of each firm is 4 i. 10 marks] Show that if the firms compete as Cournot duopolists that the total in- dustry output is 4 and that if...