Suppose there are two firms competing in a market. Both firms have the cost function c(x) =10x/2 while the demand function is given by x(p) = 100 – 0.1p. c. Suppose firm 1 decides its quantity first and firm 2 follows after observing x1. Find the profit maximizing quantity and price for this Stackelberg competition
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3. Suppose there are two firms competing in a market. Both firms have the cost function c(x) =10x/2 while the
c. Suppose firm 1 decides its quantity first and firm 2 follows after observing x1. Find the profit maximizing quantity and price for this Stackelberg competition
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- PROBLEM (5) (In a market with demand Q = 780 - p, there are 3 identical firms, A, B and C; each with a total cost function TC(Q) = 3(Q)^2. Calculate the market price under each of the 2 scenarios below, (i) B and C jointly form the fringe supply and A is the dominant firm in the dominant firm model. ( ii) They act as perfectly competitive firms -as if trying to maximize total surplus and minimize DWL- that is, their joint MC serves as the “market supply” for the competitive market. Please answer all the parts!Consider a market with only two firms. The firms operate in a Stackelberg type market where Firm 1 is the follower & Firm 2 is the leader. The market inverse demand function is: P = 120 – 2Q, where Q = q1 + q2. Each firm has a similar cost structure with a marginal cost; MC = 12, though each have different fixed costs; FC1 = 50 & FC2 = 80. Answer the following questions: a. If both firms wish to compete, what is the optimal quantity for each firm (qi) and the market price? b. What are the profits for each firm from the strategy in part a? c. If both firms choose to collude and not directly compete, what is the new price, quantity, and profits for each firm?2.- Each of two firms, firms 1 and 2, has a cost function C(q) = 1 2 q; the demand function for the firms' output is Q = 1.5-p, where Q is the total output. Firms compete in prices. That is, firms choose simultaneously what price they charge. Consumers will buy from the firm offering the lowest price. In case of tying, firms split equally the demand at the (common) price. The firm that charges the higher price sells nothing. (Bertrand model.) (a) Formally argue that there could be no equilibrium in prices other than p1 = p2 = 1 2. (b) Solve the same problem, but this time assuming that firms compete in quantities.Now, suppose that firm 1 has a capacity constraint of 1/3. That is, no matter what demand it gets, it can serve at most 1/3 units. Suppose that these units are served to the consumers who are willing to pay the most. Thus, even if it sets a price above that of firm 1, firm 2 may be able to sell some output. (c) Obtain the (residual) demand of firm 2 (as a function of its own…
- 2.- Each of two firms, firms 1 and 2, has a cost function C(q) = 0.5q; the demand function for the firms' output is Q = 1.5 - p, where Q is the total output. Firms compete in prices. That is, firms choose simultaneously what price they charge. Consumers will buy from the firm offering the lowest price. In case of tying, firms split equally the demand at the (common) price. The firm that charges the higher price sells nothing. (Bertrand model.) (a) Formally argue that there could be no equilibrium in prices other than p1 = p2 = 0.5 (b) Solve the same problem, but this time assuming that firms compete in quantities.Now, suppose that firm 1 has a capacity constraint of 1/3. That is, no matter what demand it gets, it can serve at most 1/3 units. Suppose that these units are served to the consumers who are willing to pay the most. Thus, even if it sets a price above that of firm 1, firm 2 may be able to sell some output. (c) Obtain the (residual) demand of firm 2 (as a function of its own…3. Consider the market demand curve given by q = 100 – 10p. Assume there are two firms in the industry producing a homogeneous good with a representative cost function c(q) = 4q. If each firm engages in a price war where the price can take only integer value, calculate the market equilibrium price.Consider two identical firms (firm 1 and firm 2) that face a linear market demand curve. Each firmhas a marginal cost of zero and the two firms together face demand: P = 50 - 0.5Q, where Q = Q1 +Q2. Find the Cournot equilibrium quantity and market price for each firm.
- Suppose the demand for pizza in a small isolated town is p = 10 - Q. There are only two firms, A and B, and each has a cost function TC = 2 + q. Determine the Cournot equilibrium Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Consider an industry with only two firms: firm A and firm B. The industry’s inverse demand is P(Q) = 400 − 1/10Q where P is the market price and Q is the total industry output. Each firm has a marginal cost of $10. There are no fixed costs and no barriers to exit the market. Suppose the two firms engage in Stackelberg competition, with firm A moving first, and firm B moving second. Find the equilibrium price in the industry, the equilibrium outputs, as well as the profits for each firmQ4. Consider two firms competing in a Cournot fashion. Each firm has MC=10 and the market demand is given by P=100-Q, where Q is the total market output. What is firm 1's Response function? a. q1=45-.5q2 b. q1=30 c. q2=45-.5q1 d. firm 1 will set p=MC
- Answer the given question with a proper explanation and step-by-step solution. Suppose inverse demand is given by the following: P = 40 - 0.5Q There are two firms each with the same marginal cost. Marginal Cost is 10. Under Cournot competition, what is the output for firm one? 10 20 25 30Consider two identical firms (firm 1 and firm 2) that face a linear market demand curve. Each firm has a marginal cost of zero and the two firms together face demand: P = 150 - 0.25Q, where Q = Q1 + Q2. Find the Cournot equilibrium quantity and market price for each firm.Two firms produce goods that are imperfect substitutes. If firm 1 charges price p1 and firm 2 charges price p2, then their respective demands are q1 = 12 - 2p1 + p2 and q2 = 12 + p1 - 2p2 So this is like Bertrand competition, except that when p1 > p2, firm 1 still gets a positive demand for its product. Regulation does not allow either firm to charge a price higher than 20. Both firms have a constant marginal cost c = 4. (a) Construct the best reply function BR1(p2) for firm 1. That is, p1 = BR1(p2) is the optimal price for firm 1 if it is known that firm 2 charges a price p2. Construct a Nash equilibrium in pure strategies for this game. Are there any Nash equilibria in mixed strategies? If yes, construct one; if no provide a justification. (b) Notice that for any given price p1, firm 1’s demand increases with p2, so firm 1 is better off when firm 2 charges a high price p2. What is the best reply to p2 = 20? What is the best reply to p2 = 0 (c) What prices for firm 1 are…