7. There are two firms that compete according to Cournot competition. Firm 1 has a cost...
3. There are two firms that compete according to Cournot competition. Fim 1 has a cost func tion Cia1) 318. Firm 2 has a cost function C2()3. These firms cannot discriminate, so there is just one price that is determined by the aggregate demand. The inverse demand equation is P Q) 300-0 Where total supply 0-2 (a) Setup the profit maximization problem for firm 1 with all necessary equations plugged in. (2 point) (b) Solve firm I's profit maximization peoblem...
3. There are two firms that compete according to Cournot competition. Firm 1 has a cost function G(91) = 5.59+12. Firm 2 has a cost function C(q2) = 2.5q3 + 18. These firms cannot discriminate, so there is just one price that is determined by the aggregate demand. The inverse demand equation is P(Q) = 600 – 0 Where total supply Q-q1+92. (e) Use your best response equations to mathematically solve for the equilibrium quantities qi 9, Q". equilibrium price...
only part e 7. There are two firms that compete according to Couro competition. Firm has a cofection (n) = 241+5. Firm 2 has a cost function () = 10 + 10. These firms cannot discrimine, there is just one price that is determined by the aggregate demand. The inverse demand equations PQ) = 80- Where total supply + (a) Setup the profit maximisation problem for firm 1 h all commary equation plugged in 2 (6) Solve firm l's profit...
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?
(16 points) Cournot Duopoly. Market demand is p(Q) = 50 – 4Q, where Q = 4+ 42. Firm 1's cost function is C (91) = 0, and firm 2 has a cost function C2(92) = 1092- The two firms engage in Cournot competition; they simultaneously choose a quantity and the price adjusts so that the market clears. (a) Formally write firm 1's profit maximization problem (b) Find firm l's best response function. (c) Take as given that firm 2's best...
Exercise 5: Two firms compete in a centralized market by choosing quantity produced (91,92) simultaneously. Aggregate production determines price, according to the following inverse demand function: p = [85 - 2 (91 +92)]. Firm l's total costs of production) are TC = 541. Firm 2's total costs are TC2 = 1592 a. Graph the combination of quantities (91,92) that yield the following profits: 11 (91.42) = T12 (91,92) = 450 ; 11 (41,42) = 500 ; 200; 12 (91,92) =...
uusider a market that has two firms that compete according to Stackelherg cosios tion: one with a cost C 62+18. The aggregate demand equation is Q (p)250-5p. The beet rowp equation for firm 2 is )11o Setup the profit maximizatioo for firm 1. Then, solve for the equilibrium, p. ,q,呱Q., π、π, You do reduce/simplify your profit equations π.π5. (9 points) tion C105 and the other with cost not need to
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...
3. 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)=Q2). a. Set up firm 1's profit maximization. b. Solve for firm 1's best response function. C. Solve for firm 1's quantity, firm 2's quantity, the equilibrium market quantity, and price. Show your work. d. Is this a Nash equilibrium? e. Do consumers prefer the Cournot...
Consider a market with two firms. Suppose that that firm 2 that invests in a new technology that changes it cost structure from firm 1. Market demand is Q = 18 – P, firm 1 faces costs G; (21) = {Q}, and firm 2 has costs, Cz (22) = 3. Consider a Cournot. a. What is firm l's best response function? b. Set up firm 2's profit maximization and solve for firm 2's best response function. c. Find the equilibrium...