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Suppose that the inverse market demand for a commodity is given by P = 240 Q...
Problem three Two firms in a homogencous-product duopoly market (firm 1 and firm 2) have the following cost and demand functions: TC 4 TC24q2 and Q-40-P: Q-+2 a Derive the reaction function/best-response function for each firm. b) Assume that the firms play a simultaneous move game. Characterize the Nash Equilibrium. cSuppose the two firms play game is a sequential game with the following timing of events: 1. Firm 1 chooses output 2. Firm 2 observes firm 1's output and then...
4. Consider 2 firms selling fertilizer competing as Cournot duopolists. The inverse demand function facing the fertilizer market is P = 1 - where Q = 94 +98. For simplicity, assume that the long-run marginal cost for each firm is equal to X, i.e. C(q)=Xq for each firm. a) Find the Cournot Nash equilibrium where the firms choose output simultaneously b) Find the Stackelberg Nash Equilibrium where firm A as the Stackelberg leader. How much does the leader gain by...
Suppose we have a market with two firms, and market demand Q = 18 - P and a cost c(Q) =Q2. Suppose that firm 1 has first mover advantage. a. What do we call a market where two firms move sequentially? b. Set up and solve for firm 1's output, firm 2's output, market output, and equilibrium price. Show all work for each step. C. Do consumers prefer this over the Cournot equilibrium? d. Does firm 2 prefer this type...
Oligopoly The inverse demand curve for brimstone is given by p(Y) 116-3Y (with Y total quantity of brimstone, measured in the conventional units) and the cost function for any firm in the industry is given by TC(y)-8y (with y the output of the firm) a. Determine the industry output and price if the brimstone industry were perfectly competitive Suppose that two Cournot firms operated in the market (Firm 1 and Firm 2) Determine the reaction function of Firm 1. Do...
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...
Suppose we have a market demand Q = 18 – P and a cost C(Q) 9) = 3Q?. Suppose that firm 1 in the market described in question 1 has first mover advantage. (Market demand is Q 18 – P and both firms have the same cost C(Q) - Q? a. What do we call a market where two firms move sequentially? b. Set up and solve for firm l's output, firm 2's output, market output, and equilibrium price. Show...
Reference the following information about the market demand function for questions 1 to 15. These questions are on different types of market structures – monopoly, perfect competition, Cournot oligopoly market, and the Stackelberg oligopoly market. The market demand function is given the following equation: P = 1600 – Q where Q is the industry’s output level. Suppose initially this market is served by a single firm. Let the total cost function of this firm be given the function C(Q) =...
The inverse market demand is P=160 – 4Q. The firms have cost functions TC1 = 8+12q1+2q1² TC2 = 8+12q2+2q2² a. Determine monopoly profit-maximizing output for each firm. Determine the industry profit-maximizing output under collusion. Calculate the equilibrium price under collusion. Determine if the firms should collude. Assume your initial game is Cournot. Joint profits Profits Collusion = $1079.2 Profits Cournot = 1010.75 Profits Stackelberg = 971.17 Profit monopoly 1 = 904.67 Profits monopoly 2 = 904.67 Collude since...
1. 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 0-400 4P. e. Calculate the profits for each firm in the Cournot model. f. g. Is the monopoly outcome stable? If firm A operates under the monopoly outcome, h. Graph the monopoly outcome, cournot outcome and perfect competition...
3. Iqsi#2ere a first or second mover advantage? Why or why not? 4. Suppose that the game in question #2 was played simultaneously. What are the equilibria, if any? 5. Find the equilibrium of the following simultaneous game. Player 2 Left Right 2,5 2,2 Player 1 Up 10,10 Down 5,2 6. If the game in #5 is sequential what is the equilibrium? 7. What does Common Knowledge of the game mean and why is it important? 8. Consider the following...