Suppose that there are two firms producing a homogenous product and competing in Cournot fashion and let the market demand be given by Q = 240 - Assume for simplicity that each firm operates with zero total cost. Find Cournot Nash eguilibrium price. 144 360 240 288
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- Consider a Stackelberg duopoly with the following inverse demand function: P = 400 − 2Q1 − 2Q2. The firms' marginal costs are identical and are given by MCi = 4. Based on this information, the Stackelberg follower's reaction function is a. Q2 = 99 − 0.5Q1. b. Q2 = 198 − 0.5Q1. c. Q2 = 198 − 0.5Q2. d. Q2 = 99 − 0.5Q2.Consider a Bertrand duopoly where market demand is P(Q)=107-5Q. Each firm faces a marginal cost $18 and no fixed cost. what is one market price that can occur in a Nash equilibrium?Consider a Cournot Oligopoly. One firm has costs C1(Q1) = 12Q1 while the other firm’s cost function is C2(Q2) = 10Q2. The demand for both firms’ products Q=Q1 +Q2 isQD(P)=200−2P. (a) Determine the equilibrium price P, the market shares s1, s2, and the quantities Q1, Q2 produced by both firms. (b) Suppose more firms with the lower cost technology, i.e., with cost function Ci(Qi) = 10Qi enter the market. How many firms with this technology must be in the market such that firm 1’s profit becomes negative. In other words, suppose there is one firm with the high costs, and n firms with the low costs. At what level n will profits of the high-cost firm be negative?
- Consider a Cournot duopoly with the inverse demand P = 200−2Q. Firm 1 and 2 compete by simultaneously choosing their quantities. Both firms have constant marginal and average cost MC = AC = 20. A) Find each firm’s best response function. Plot the best response functions (label the x-axes as ?1 and y-axes as ?2 ). B) Find the Cournot-Nash equilibrium quantities, profits and market price. Illustrate the equilibrium point on your graph in part ASuppose that two firms produce mountain spring water and the market demand for mountain spring water is given as follows: P= 254 - 91 - 92 Firm 1 and Firm 2 have a MC = 50 a) Find the Cournot-Nash equilibrium price and quantity of each firm. b) Assume now that firm 1 becomes the Stackelberg leader. What will be the market price, output by each firm? Compared to part a, who gains? c) If Firm 1 chooses a quantity, then Firm 2 chooses a quantity (having observed Firm 1's quantity), then Firm 1 has an opportunity to revise its quantity (having observed Firm 2's quantity), then payoffs are determined, does either firm stand to gain relative to the case of simultaneous quantity choice? Why or why not? (hint: there is no need to do any calculation here).Joe and Rebecca are small-town ready-mix concrete duopolists. The market demand function is Qd = 10,000 – 100P, where P is the price of a cubic yard of concrete and Qd is the number of cubic yards demanded per year. Marginal cost is $25 per cubic yard. Suppose that Joe and Rebecca compete in quantities and competition in this market is described by Cournot model. What are Joe and Rebecca’s Nash equilibrium outputs? What is the resulting price? What do they each earn as profit? How does the price compare to the marginal cost? Joe and Rebecca are small-town ready-mix concrete duopolists. The market demand function is Qd = 10,000 – 100P, where P is the price of a cubic yard of concrete and Qd is the number of cubic yards demanded per year. Marginal cost is $25 per cubic yard. Suppose that Joe and Rebecca compete in quantities and competition in this market is described by Cournot model. What are Joe and Rebecca’s Nash equilibrium outputs? What is the resulting price? What do they each…
- Consider a Cournot duopoly with the inverse demand P = 200 − 2Q. Firm 1 and 2 compete by simultaneously choosing their quantities. Both firms have constant marginal and average cost MC = AC = 20. A) Find each firm’s best response function. Plot the best response functions (label the x-axes as ?1 and y-axes as ?2 ). B) Find the Cournot-Nash equilibrium quantities, profits and market price. Illustrate the equilibrium point on your graph in part (A). C) Suppose instead that firm 1 had MC = AC = 20, but firm 2’s MC = 8. What is the Cournot-Nash equilibrium outputs and profits now? How would this affect your answers to part (B)? ExplainConsider a Stackelberg duopoly with the following inverse demand function: P = 1,200 − 3Q1 − 3Q2. The firms' marginal costs are identical and are given by MCi = 6. Based on this information, the Stackelberg follower's reaction function is Multiple Choice: Q2 = 398 − 0.5Q2. Q2 = 199 − 0.5Q1. Q2 = 398 − 0.5Q1. Q2 = 199 − 0.5Q2.Consider a market with two identical firms, Firm A and Firm B. The market demand is:1P = 100 — —2Qwhere Q = QA + QB . The cost conditions are MCA = MC, = ACA = AC, = 24. (Hint: Round your solutions to 2 decimal places.)Assume this market has a Stackelberg leader, Firm A. Solve for the quantity, price and profit for each firm. Explain your calculations.How does this compare to the Cournot-Nash equilibrium quantity, price and profit? Explain your calculations.
- Consider a Cournot Duopoly model. The inverse demand for their products is given byP = 200 − 6Q, where Q is the total quantity supplied in the market (that is, Q = Q1 + Q2). Each firm has an identical cost function, given byT Ci = 2Qi, for i = 1, 2.(a) In the Cournot model, what does each firm choose?(b) What is the timing of each firm’s decision?(c) Find the Nash equilibrium quantities (Q∗1, Q∗2)?(d) What is the equilibrium price? Just help with c and d here pleaseThe demand the duopoly firms face is p = 100 – 2Q where Q = q1 + q2. Each firm has the following cost function: c(qi) = 40 + qi2/2, i = 1, 2. Using calculus, determine the Stackelberg equilibrium. determine the Cournot equilibrium. plz answer correct calculation asap plz Dont answer by pen pepar plzConsider a Bertrand duopoly. Market demand is P(Q)=41-3Q, and each firm faces a marginal cost of $4 per unit. How much is the sum of firms' total revenue in the Nash equilibrium?