Homework Answers
1. B) Firm 1 charges $9.99, firm 2 charges $10
2. B) Firm 1 charges $9.99, firm 2 charges $10
3. A) Firm 1 enjoys a first-mover advantage if she sets price prior to firm 2
4. C) Both firms charge $33.33
5. c) There is no timing advantage for both firms
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1. Consider a market with two firms, providing substitutable products. The inverse demand function faced by...
Suppose we have a market with two firms, and market demand Q = 18 - P...
Suppose we have a market with two firms, and market demand Q = 18 - P and a cost c(Q) =Q2. Suppose that firm 1 has first mover advantage. a. What do we call a market where two firms move sequentially? b. Set up and solve for firm 1's output, firm 2's output, market output, and equilibrium price. Show all work for each step. C. Do consumers prefer this over the Cournot equilibrium? d. Does firm 2 prefer this type...
Consider two firms competing in a market with a demand function P=150-Q. Both firms have constant...
Consider two firms competing in a market with a demand function P=150-Q. Both firms have constant marginal cost c>0. There are no fixed costs. They compete by setting prices p₁ and p₂ simultaneously. (Bertrand game.) Which of the following statements is not correct? Select one: a. Both firms charging charging p = c is a Nash equilibrium. b. When firm 1 sets where is the industry monopoly price, firm 2's best response is to set . c. When p₁=c, any price p₂≥c...
4. Consider 2 firms selling fertilizer competing as Cournot duopolists. The inverse demand function facing the...
4. Consider 2 firms selling fertilizer competing as Cournot duopolists. The inverse demand function facing the fertilizer market is P = 1 - where Q = 94 +98. For simplicity, assume that the long-run marginal cost for each firm is equal to X, i.e. C(q)=Xq for each firm. a) Find the Cournot Nash equilibrium where the firms choose output simultaneously b) Find the Stackelberg Nash Equilibrium where firm A as the Stackelberg leader. How much does the leader gain by...
Suppose that the inverse market demand for a commodity is given by P = 240 Q...
Suppose that the inverse market demand for a commodity is given by P = 240 Q The cost curves of the three firms which could serve this market are TC,(a) 30q +300 and TC2() (d) Suppose that firms engage in Stackelberg rather than Cournot competition. Firm 1 moves first by choosin its output level. After Firm 1 has chosen its output level, Firm 2 observes ql and chooses its output leve Find the subgame-perfect Nash equilibrium of the Stackelberg game....
1. Consider a market of homogeneous products in which firms compete on quantity. Demand in this...
1. Consider a market of homogeneous products in which firms compete on quantity. Demand in this market is given by q(p) = 72 - 6p: (1) There are both an incumbent firm M and a potential entrant E which can both produce the good at marginal costs 6. Prior to entry, E must incur an entry cost equal to Ce ≥ 0. (a) Suppose that Ce = 1. What are the equilibrium price, quantity for each firm, and profit for...
Q.3 Two firms (i 1, 2) produce differentiated products. The demand function for the product of...
Q.3 Two firms (i 1, 2) produce differentiated products. The demand function for the product of firm i is given by: qiVi, pj) 4-pi + 2pj firm i and pj the price chosen by its competitor. Firm 1 chooses its price first and firm 2 chooses its price after observing the price of firm 1. The cost function of each firm is G(%) 21. Find the subgame-perfect Nash equilibrium. , where Pi is the price chosen by
Q.3 Two firms (i 1, 2) produce differentiated products. The demand function for the product of...
Q.3 Two firms (i 1, 2) produce differentiated products. The demand function for the product of firm i is given by: qiVi, pj) 4-pi + 2pj firm i and pj the price chosen by its competitor. Firm 1 chooses its price first and firm 2 chooses its price after observing the price of firm 1. The cost function of each firm is G(%) 21. Find the subgame-perfect Nash equilibrium. , where Pi is the price chosen by
1. Consider a market of homogeneous products in which firms compete on quantity. Demand in this m...
1. Consider a market of homogeneous products in which firms compete on quantity. Demand in this market is given by q(p) = 72 - 6p: (1) There are both an incumbent firm M and a potential entrant E which can both produce the good at marginal costs 6. Prior to entry, E must incur an entry cost equal to Ce ≥ 0. (a) Suppose that Ce = 1. What are the equilibrium price, quantity for each firm, and profit for...
1 (Bertrand Model with sequential move) Consider a Bertrand duopoly model with two firms, Fi and...
1 (Bertrand Model with sequential move) Consider a Bertrand duopoly model with two firms, Fi and Fa selling two varieties of a product. The demand curve for Fi's product is 91 (pi,P2) = 10-Pl + 0.5p2: and the demand for F's product is where p is the price charged by F). Both firms have a constant marginal cost of (a) Write down the profits of F1 and F2 as a function of prices P1 and P2. You have b) Derive...
Two profit-maximizing firms compete in a market. Firm 1 chooses quantity qı > 0 and Firm...
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 we have a market with two firms, and market demand Q = 18 - P and a cost c(Q) =Q2. Suppose that firm 1 has first mover advantage. a. What do we call a market where two firms move sequentially? b. Set up and solve for firm 1's output, firm 2's output, market output, and equilibrium price. Show all work for each step. C. Do consumers prefer this over the Cournot equilibrium? d. Does firm 2 prefer this type...
4. Consider 2 firms selling fertilizer competing as Cournot duopolists. The inverse demand function facing the fertilizer market is P = 1 - where Q = 94 +98. For simplicity, assume that the long-run marginal cost for each firm is equal to X, i.e. C(q)=Xq for each firm. a) Find the Cournot Nash equilibrium where the firms choose output simultaneously b) Find the Stackelberg Nash Equilibrium where firm A as the Stackelberg leader. How much does the leader gain by...
Suppose that the inverse market demand for a commodity is given by P = 240 Q The cost curves of the three firms which could serve this market are TC,(a) 30q +300 and TC2() (d) Suppose that firms engage in Stackelberg rather than Cournot competition. Firm 1 moves first by choosin its output level. After Firm 1 has chosen its output level, Firm 2 observes ql and chooses its output leve Find the subgame-perfect Nash equilibrium of the Stackelberg game....
Q.3 Two firms (i 1, 2) produce differentiated products. The demand function for the product of firm i is given by: qiVi, pj) 4-pi + 2pj firm i and pj the price chosen by its competitor. Firm 1 chooses its price first and firm 2 chooses its price after observing the price of firm 1. The cost function of each firm is G(%) 21. Find the subgame-perfect Nash equilibrium. , where Pi is the price chosen by
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