This pertains to the Cournot model except that a. Both firms maximize profit b. Each firm anticipates the price movement of the other c. There are only 2 firms in the industry d. Each firm takes the output as given
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- The marginal cost of a product is fixed at MC = 20. The demand for the product is Q = 100 - 2P. (a) Now consider a Cournot model with two firms that are choosing quantities simultaneously. What is the best reply (best response) function for each firm? What is theNash equilibrium? What is the total surplus? (b)What do you expect the total surplus would be with three firms? Why? (You do not need to calculate an exact value. You can say ”total surplus is at least 100”, or ”total surplus is at most 80”)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 two major scooter companies in India, ABC and XYZ, are competing for a fixed market. If both manufacturers make major model changes in a year, then their percentage market share not change. Also, if they both do not make major model changes, their percentage market share remains constant. If ABC makes a major model change and XYZ does not, then ABC is able to take away a% of the market away from XYZ, and if XYZ makes a major model change ABC does not, XYZ is able to take away b% of the market away from ABC. Express this as a 2 x 2 game and solve for the optimal strategy for each of the companies.
- (Cournot competition with different marginal costs) Our best estimate for total marketdemand in a given market is P 1000-2Q. Two firms (1 and 2) are competing in this market in quantities, choosing Q1 and Q2 simultaneously. Firm 1 has marginalcost equal to c1 = 100 and Firm 2 produces at marginal cost c2 = 200. (a) Write down the profits of both firms and and their best response functions. (b) Find the Cournot - Nash equilibrium in quantities, and calculate equilibrium profits for both firms. (c) Suppose that each firm has the option, at a previous stage, to invest in an R&D project that will reduce its marginal cost of production by 50% if successful. What is the value of this innovation to each firm? Given that R&D costs and successprobabilities are equal, which one has greater incentives to invest in R&D ? You can think in terms of per - period profits to set aside timing issues.You are the manager in a market composed of eight firms, each of which has a 12.5 percent market share. In addition, each firm has a strong financial position and is located within a 100-mile radius of its competitors.Instruction: Enter your responses rounded to the nearest penny (two decimal places).a. Calculate the premerger Herfindahl-Hirschman index (HHI) for this market.b. Suppose that any two of these firms merge. What is the postmerger HHI?c. Based only on the information contained in this question and on the U.S. Department of Justice Horizontal Merger Guidelines described in this chapter, do you think the Justice Department would attempt to block a merger between any two of the firms?multiple choice It likely will not. It may, but will likely consider other factors as well. It likely will.Show that that there exists an equilibrium in dominant strategies. (Hint: show that the strategy of producing one unit (Wk = 1 for all k) of wheat (strongly) dominates all of a profit-maximizing farmer’s other strategies by setting up the profit function, deriving the first order condition and solving it for Wk ).
- here are two firms in the market, Pepsi and Coke. Strategies: Low price (price promotion, LP), Medium price (regular price, RP), high price (new price strategy, HP). Payoffs: Coke, Pepsi’s Net Profits; LP, LP: $1.4m, $1.2m; LP, RP: $3.1m, $0.6m; LP, HP: $3.9m, -$1.3m. RP, LP: $1.3m, $1.8m; RP, RP: $2.0m, $1.8m; RP, HP: $4.3m, $-0.3m. HP, LP: -$1.2m, $3.6m; HP, RP: $0.8m, $3.9m; HP, HP: $2.8m, $2.5m. In this game, the NE is (are): (HP, HP) (LP, LP) and (HP, HP) (LP, LP) There is no NE in this game (RP, RP)Consider a duopoly in which two identical firms compete by setting their quantities but Firm 1 has first mover advantage (i.e., Firm 1 is the Stackelberg Leader). We want to consider whether Firm 1 should use its advantage to drive Firm 2 out of the market.J 4 (Cournot Model) There are two firms (N=2), Airbus and Boeing, in the market. Each firm’s cost is MC=AC=20. The market demand is Q=100-(1/2) P. Both firms simultaneously select quantities. a) Find each firm’s reaction function. b) Find a pure Cournot Nash Equilibrium (NE). Show the market quantity and price (Q and P), each firm’s quantity and profit (qi and I, i=Airbus, Boeing), producer surplus (PS) and consumer surplus (CS) in the NE.
- Q2. Consider a two-firms Cournot model with constant returns to scale. Assume also that the inverse demand function is P = 100 – 2Q, with marginal cost equal to 20for both firms, where Q = q1 + q2 . b) How do equilibrium outputs and profits vary when firm1’s cost changes. Draw a picture of this outcome.Consider the Cournot duopoly with linear demand function ? = 2000 − 2Q, where P is the price and Q = q1 + q2 is the total supply. Firm 1 and firm 2 has constant marginal cost of 600. Just answer the E, F and G, thank you bartleby! a. If firm compete in price, draw in detail the best response of each firm.b. Determine and explain the Bertrand equilibrium.c. What is the equilibrium quantity and how much profit for each firm?d. Explain the Bertrand Paradox in (c)!e. If firm 1 has capacity of production 450 and firm 2 has capacity of 200. Determine the Bertrand equilibrium.f. What is the equilibrium quantity, and how much profit for each firm?g. Is there any paradox in (f)?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 by TCi = 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?
