Differentiated Bertrand competition versus price leadership. The demand for two brands of laundry detergent, Wave (W)...
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Differentiated Bertrand competition versus price leadership. The demand for two brands of laundry detergent, Wave (W) and Rah (R), are given by the following demands:
Qw =80–2pW +pR QR =80–2pR +pWThe firms have identical cost functions, with a constant marginal cost of 10. The firms compete in prices.
(a) What is the best response function for each firm? (that is, what is firm W's optimal price as a function of firm R’s price, and vice-versa?) What is the equilibrium to the one-shot pricing game? What are the profits of each firm?
(b) Suppose the manufacturer of Wave could commit to setting pw before the manufacturer of Rah could set pR. How would this change the equilibrium? What are the profits of each firm in this case? Should Wave take advantage of this commitment possibility? Why or why not?
(c) Is there a first or second-mover advantage in this game? First-mover advantage is like the conventional Stackelberg quantity-leadership story, while second-mover advantage is reversed. Explain the intuition for your answer, and compare / contrast with the Stackelberg quantity-setting story.
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Differentiated Bertrand competition versus price leadership. The
demand for two brands of laundry detergent, Wave (W)...
consider the standard Bertrand model of price competition. There are two firms that produce a homogenous...
consider the standard Bertrand model of price competition. There
are two firms that produce a homogenous good with the same constant
marginal cost of c.
a) Suppose that the rule for splitting up cunsumers when the
prices are equal assigns all consumers to firm1 when both firms
charge the same price. show that (p1,p2) =(c,c) is a Nash
equilibrium and that no other pair of prices is a Nash
equilibrium.
b) Now, we assume that the Bertrand game in part...
Suppose two firms are engaged in price competition (also known as Bertrand competition). Neither firm has...
Suppose two firms are engaged in price competition (also known as Bertrand competition). Neither firm has capacity constraints, and both firms have identical cost structures given by c(y)= 10+ 2y? What are the equilibrium profits for each firm?
Mathematical Question 3 (30pts) 3. Consider two firms are performing Cournot price competition in two differentiated...
Mathematical Question 3 (30pts) 3. Consider two firms are performing Cournot price competition in two differentiated goods markets. Firm 1 produces goods 1, and firm 2 produces goods 2, and two market demand functions are given by 91 (P1,P2) = 12-2p1 + P2 and 921,P2) = 12-2p2 + P 1. Furthermore, assume that the two firms have the same cost function such that fixed cost is $20 and variable cost is zero. a. (10pts) Calculate the equilibrium prices, quantities and...
= Consider an industry consisting of two firms which produce a homogeneous commodity. The industry demand...
= Consider an industry consisting of two firms which produce a homogeneous commodity. The industry demand function is Q = 100 – P, where Q is the quantity demanded and P is its price. The total cost functions are given as C1 = 50q1 for firm 1, and C2 = 60qz for firm 2, where Q 91 +92. a. (6 points) Suppose both firms are Cournot duopolists. Find and graph each firm's reaction function. What would be the equilibrium price,...
please answer all 10 questions thanks Suppose there are only two firms in the marker, firm...
please answer all 10 questions
thanks
Suppose there are only two firms in the marker, firm A and firm B. They produce identical products. Firm A and firm B have the same constant marginal cost, MCA = MCB = ACA = ACB = 25. The market demand function is given by Q = 400 – 4P. a. If the firms practice under the Bertrand model, what will be the Nash equilibrium market price and output level? b. If these two...
4. Bertrand Competition (29 points) Consider a Betrand Model. The market demand is P=130-Q. Consumers only...
4. Bertrand Competition (29 points) Consider a Betrand Model. The market demand is P=130-Q. Consumers only buy from the firm charging a lower price. If the two firms charge the same price. they share the market equally. The marginal cost for firm 1 is 10, and the marginal cost for firm 2 is also 10. There are no fixed costs. A. (5 points) Would any firm charge a price below 10 at the market equilibrium? Briefly explain your reason. B....
4. Bertrand Competition (29 points) Consider a Betrand Model. The market demand is P-130-Q, Consumers only buy from...
4. Bertrand Competition (29 points) Consider a Betrand Model. The market demand is P-130-Q, Consumers only buy from the firm charging a lower price. If the two firms charge the same price, they share the market equally. The marginal cost for firm 1 is 10, and the marginal cost for firm 2 is also 10. There are no fixed costs. A. (5 points) Would any firm charge a price below your reason. at the market equilibrium? Briefly explain B. (6...
4. Bertrand Competition (29 points) Consider a Betrand Model. The market demand is P-180-Q. Consumers only...
4. Bertrand Competition (29 points) Consider a Betrand Model. The market demand is P-180-Q. Consumers only buy from the firm charging a lower price. If the two firms charge the same price, they share the market equally. The marginal cost for firm 1 is 30, and the marginal cost for firm 2 is also 30. There are no fixed costs. A. (5 points) Would any firm charge a price below 30 at the market equilibrium? Briefly explain your reason B....
Two firms are price-competing as in the standard Bertrand model. Each faces the market demand function D(p)=50-p. Firm 1 has constant marginal cost c1=10 and firm 2 has c2=20. As usual, if one of the...
Two firms are price-competing as in the standard Bertrand model. Each faces the market demand function D(p)=50-p. Firm 1 has constant marginal cost c1=10 and firm 2 has c2=20. As usual, if one of the firms has the lower price, they capture the entire market, and when they both charge exactly the same price they share the demand equally. 1. Suppose A1=A2={0.00, 0.01, 0.02,...,100.00}. That is, instead of any real number, we force prices to be listed in whole cents....
pls answer as many qwuestions!! 1. A market has an inverse demand curve and four firms,...
pls
answer as many qwuestions!!
1. A market has an inverse demand curve and four firms, each of which has a constant marginal cost of. If the firms form a profit-maximizing cartel and agree to operate subject to the constraint that each firm will produce the same output level, how much does each firm produce? 2. Duopoly quantity-setting firms face the market demand curve. Each firm has a marginal cost of $60 per unit. a. What is the Nash-Cournot equilibrium?...
consider the standard Bertrand model of price competition. There
are two firms that produce a homogenous good with the same constant
marginal cost of c.
a) Suppose that the rule for splitting up cunsumers when the
prices are equal assigns all consumers to firm1 when both firms
charge the same price. show that (p1,p2) =(c,c) is a Nash
equilibrium and that no other pair of prices is a Nash
equilibrium.
b) Now, we assume that the Bertrand game in part...
Suppose two firms are engaged in price competition (also known as Bertrand competition). Neither firm has capacity constraints, and both firms have identical cost structures given by c(y)= 10+ 2y? What are the equilibrium profits for each firm?
Mathematical Question 3 (30pts) 3. Consider two firms are performing Cournot price competition in two differentiated goods markets. Firm 1 produces goods 1, and firm 2 produces goods 2, and two market demand functions are given by 91 (P1,P2) = 12-2p1 + P2 and 921,P2) = 12-2p2 + P 1. Furthermore, assume that the two firms have the same cost function such that fixed cost is $20 and variable cost is zero. a. (10pts) Calculate the equilibrium prices, quantities and...
= Consider an industry consisting of two firms which produce a homogeneous commodity. The industry demand function is Q = 100 – P, where Q is the quantity demanded and P is its price. The total cost functions are given as C1 = 50q1 for firm 1, and C2 = 60qz for firm 2, where Q 91 +92. a. (6 points) Suppose both firms are Cournot duopolists. Find and graph each firm's reaction function. What would be the equilibrium price,...
please answer all 10 questions
thanks
Suppose there are only two firms in the marker, firm A and firm B. They produce identical products. Firm A and firm B have the same constant marginal cost, MCA = MCB = ACA = ACB = 25. The market demand function is given by Q = 400 – 4P. a. If the firms practice under the Bertrand model, what will be the Nash equilibrium market price and output level? b. If these two...
4. Bertrand Competition (29 points) Consider a Betrand Model. The market demand is P=130-Q. Consumers only buy from the firm charging a lower price. If the two firms charge the same price. they share the market equally. The marginal cost for firm 1 is 10, and the marginal cost for firm 2 is also 10. There are no fixed costs. A. (5 points) Would any firm charge a price below 10 at the market equilibrium? Briefly explain your reason. B....
4. Bertrand Competition (29 points) Consider a Betrand Model. The market demand is P-130-Q, Consumers only buy from the firm charging a lower price. If the two firms charge the same price, they share the market equally. The marginal cost for firm 1 is 10, and the marginal cost for firm 2 is also 10. There are no fixed costs. A. (5 points) Would any firm charge a price below your reason. at the market equilibrium? Briefly explain B. (6...
4. Bertrand Competition (29 points) Consider a Betrand Model. The market demand is P-180-Q. Consumers only buy from the firm charging a lower price. If the two firms charge the same price, they share the market equally. The marginal cost for firm 1 is 30, and the marginal cost for firm 2 is also 30. There are no fixed costs. A. (5 points) Would any firm charge a price below 30 at the market equilibrium? Briefly explain your reason B....
pls
answer as many qwuestions!!
1. A market has an inverse demand curve and four firms, each of which has a constant marginal cost of. If the firms form a profit-maximizing cartel and agree to operate subject to the constraint that each firm will produce the same output level, how much does each firm produce? 2. Duopoly quantity-setting firms face the market demand curve. Each firm has a marginal cost of $60 per unit. a. What is the Nash-Cournot equilibrium?...
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