Homework Answers
A) price=9 is charged by firm 1 and $10 is charged by firm 2.
Yes this is the only Nash equilibrium because no player has any incentive to deviate given the strategy of other
b)profit of firm 2=0 and profit of firm 1=(9-6)*3200=3*3200=9600
c) no because price of $6 would have been better because total surplus is maximised when P=6 by cooperating and paying the looser. Thus P=9 is not the efficient outcome
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4. Suppose that firm 1 and firm 2 each produce the same product and face a...
Please help me with this problem 6. Differentiated product Bertrand. Suppose that firm Y produces yellow...
Please help me with this
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6. Differentiated product Bertrand. Suppose that firm Y produces yellow marbles and that firm W produces white marbles. Further suppose that consumers' tastes are heterogeneous-some prefer yellow marbles while others prefer white ones. Firm-specific demands are given by: The subscripts y and w refer to yellow and white marbles, respectively (a) Suppose both firms have a marginal cost of $15/bag. What are the price and quantity sold (b) Now suppose that firm W has...
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...
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...
Problem 4. Bertrand Competition with Different Costs Suppose two firms facing a demand D(p) compete by...
Problem 4. Bertrand Competition with Different Costs Suppose two firms facing a demand D(p) compete by setting prices simultaneously (Bertrand Competition). Firm 1 has a constant marginal cost ci and Firm 2 has a marginal cost c2. Assume ci < C2, i.e., Firm 1 is more efficient. Show that (unlike the case with identical costs) p1 = C1 and P2 = c2 is not a Bertrand equilibrium.
Problem 4. Bertrand Competition with Different Costs Suppose two firms facing a demand D(p) compete by setting prices s...
Problem 4. Bertrand Competition with Different Costs Suppose two firms facing a demand D(p) compete by setting prices simultaneously (Bertrand Competition). Firm 1 has a constant marginal cost ci and Firm 2 has a marginal cost c2. Assume ci < C2, i.e., Firm 1 is more efficient. Show that (unlike the case with identical costs) p1 = (1 and p2 = c2 is not a Bertrand equilibrium.
There are two firms. Firm 1 (or, a small firm) produces a single product, product A,...
There are two firms. Firm 1 (or, a small firm) produces a single product, product A, at zero cost. Firm 2 (or, a big firm) is a multi-product firm that sells both products A and B. Firm 2 is less efficient in producing A. It incurs a constant marginal cost c > 0 for producing A. However, firm 2 is a monopolist of the market of product B and its cost of producing product B is zero. A unit mass...
15.2 where a, b > 0 a. Suppose that firms' marginal and average costs are constant...
15.2 where a, b > 0 a. Suppose that firms' marginal and average costs are constant and equal to c and that inverse market demand is given by P = a - bQ. Calculate the profit-maximizing price-quantity combination for a monopolist. Also calculate the monopolist's profit. b. Calculate the Nash equilibrium quantities for Cournot duopolists, which choose quantities for their identical products simultaneously. Also compute market output, market price, and firm and industry profits. c. Calculate the Nash equilibrium prices...
4. Homogenous product Bertrand. Suppose that the demand for marbles is given by Q- 80 -...
4. Homogenous product Bertrand. Suppose that the demand for marbles is given by Q- 80 - 5P, where Q is measured in bags of marbles. There are two firms that supply the market, and the firms produce identical marbles (i.e., they are homogenous products). Firm 1 has a constant marginal cost of $10.00/bag, while firm 2 has a constant marginal cost of S5.00/bag. The two firms compete in price. In Nash Equilibrium, what prices will the two firms set? How...
Suppose there are two firms in a market producing differentiated products. Both firms have MC=0. The...
Suppose there are two firms in a market producing differentiated products. Both firms have MC=0. The demand for firm 1 and 2’s products are given by: q1(p1,p2) = 5 - 2p1 + p2 q2(p1,p2) = 5 - 2p2 + p1 a. First, suppose that the two firms compete in prices (i.e. Bertrand). Compute and graph each firm’s best response functions. What is the sign of the slope of the firms’ best-response functions? Are prices strategic substitutes or complements? b. Solve...
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...
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....
Please help me with this
problem
6. Differentiated product Bertrand. Suppose that firm Y produces yellow marbles and that firm W produces white marbles. Further suppose that consumers' tastes are heterogeneous-some prefer yellow marbles while others prefer white ones. Firm-specific demands are given by: The subscripts y and w refer to yellow and white marbles, respectively (a) Suppose both firms have a marginal cost of $15/bag. What are the price and quantity sold (b) Now suppose that firm W has...
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...
Problem 4. Bertrand Competition with Different Costs Suppose two firms facing a demand D(p) compete by setting prices simultaneously (Bertrand Competition). Firm 1 has a constant marginal cost ci and Firm 2 has a marginal cost c2. Assume ci < C2, i.e., Firm 1 is more efficient. Show that (unlike the case with identical costs) p1 = C1 and P2 = c2 is not a Bertrand equilibrium.
Problem 4. Bertrand Competition with Different Costs Suppose two firms facing a demand D(p) compete by setting prices simultaneously (Bertrand Competition). Firm 1 has a constant marginal cost ci and Firm 2 has a marginal cost c2. Assume ci < C2, i.e., Firm 1 is more efficient. Show that (unlike the case with identical costs) p1 = (1 and p2 = c2 is not a Bertrand equilibrium.
15.2 where a, b > 0 a. Suppose that firms' marginal and average costs are constant and equal to c and that inverse market demand is given by P = a - bQ. Calculate the profit-maximizing price-quantity combination for a monopolist. Also calculate the monopolist's profit. b. Calculate the Nash equilibrium quantities for Cournot duopolists, which choose quantities for their identical products simultaneously. Also compute market output, market price, and firm and industry profits. c. Calculate the Nash equilibrium prices...
4. Homogenous product Bertrand. Suppose that the demand for marbles is given by Q- 80 - 5P, where Q is measured in bags of marbles. There are two firms that supply the market, and the firms produce identical marbles (i.e., they are homogenous products). Firm 1 has a constant marginal cost of $10.00/bag, while firm 2 has a constant marginal cost of S5.00/bag. The two firms compete in price. In Nash Equilibrium, what prices will the two firms set? How...
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...
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