
Exercise 5: Two firms compete in a centralized market by choosing quantity produced (91,92) simultaneously. Aggregate p...
7. Consider an asymmetric Cournot duopoly game, where the two firms have different costs of production. Firm 1 selects quantity qı at a pro- duction cost of 291. Firm 2 selects quantity 92 and pays the produc- tion cost 492. The market price is given by p = 12 – 91 - 92. Thus, the payoff functions are u(91,92) = (12 – 91 - 92.91 – 291 and uz(9192) = (12 – 91 - 92)92 – 492. Calculate the firms'...
Two profit-maximizing firms compete in a market. Firm 1 chooses quantity qı > 0 and Firm 2 chooses quantity 42 > 0. The market price is: p(91,92) = 8 - 2q1 - 42. The cost to Firm 1 of producing qi is C1 = 41. The cost to Firm 2 of producing 92 is C2 = 42 + 42. a.) * Calculate the best-response function for each firm. b.) Suppose the two firms choose their quantities simultaneously. What is the...
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?
7. Two firms compete in a market by selling differentiated products. The demand equations are given by the following equations: P2 qı = 75 – Pi + 2 P1 92 = 75 – P2 + 2 assume that each firm has a marginal cost (and average costs) of O. a. Solve for firm l's best response function. b. Solve for the equilibrium price and quantity. C. Would firm 1 still be able to compete in the market if their marginal...
2. (30 pts) There are two firms in a market, producing the same good. The firms simultaneously choose their output levels, qı for firm 1 and q2 for firm 2. The price adjusts according to the inverse demand function p= 65 – (91 +92). Each firm has a per-unit (average) cost of 5. Each firm's payoff is its profit. a. (5 pts) Find firm l's profit as a function of qı and q2 (profit equals revenue minus total cost). b....
3. (35 points Suppose that there are K( 3) firms operate in a market with demand function given by P(Q) = 100-Q, where Q=91 +92 + ... +2K, and qi is the quantity produced by firm i. Each firm has a constant marginal cost of production, c = 10, and no fixed cost. The firms choose their quantities dynamically as follows: Firm 1, which is the industry leader, chooses qı € (0, 100). All other firms i = 2,..., K...
Assumptions Market Demand: P = 14- Qrotal Two P = 16- 1 [HD] Groups: P = 12- 2(LD] (HD = high demand; LD = low demand] Incumbent/Entrant: P=14-01-ge Duopoly: P = 14 - 119 +22) Marginal Cost: MC = 4 Entrant's Total Cost = 9+4ge Capacity Constraint: 5/firm Cournot Duopoly 1. Take derivative of demand function in terms of qı (dq1/dP). = MR1. 2. Set MR1 = MC. That's Firm l's reaction function. 3. Repeat for Firm 2. 4. Where...
5. (i) Consider a Cournot quantity setting game of simultaneous moves. Solve for the rationalizable strategies (quantities) for the two firms that simultaneously choose quantities to produce, which then determines the price at which the produced goods will sell. The marginal cost of production is 4 for firml and 2 for firm 2. P = 40-91-92 Find the equilibrium price and the profits of each firm. (15) ii) Now model the game as a sequential move game where firm 1...
2 Two firms compete in a market by selling differentiated products. The demand equations are given by the following equations: P2 91 = 75 - Pi + P1 92 = 75 - P2 + 2 assume that each firm has a marginal cost (and average costs) of o. a. What market model do we use if each firm competes by simultaneously choosing price? b. Are the two goods substitutes? C. Solve for firm 1's best response function. d. Solve for...
91 = Two firms compete in a market by selling differentiated products. The demand equations are given by the following equations: P2 75 – P1 + 75 – P2 + 2. assume that each firm has a marginal cost (and average costs) of 0. a. What market model do we use if each firm competes by simultaneously choosing price? P 92 = b. Are the two goods substitutes? C. Solve for firm 1's best response function. d. Solve for the...