The demand function in a duopoly market is, where P is the price and Q is the total quantity demanded. Both companies have the same constant marginal cost, MC = 25. What is the deadweight loss if both firms are profit maximizing and they are not allowed to cooperate?
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- Cournot Duopoly Suppose that Coca Cola and Pepsi companies compete in quantity sold in a small town. The market demand function for soda in the small town is given by the demand function: Q 10,000 P where Q is the aggregate quantity demanded and P is the price of a can of soda. Let Qp be the number of cans of soda sold by the Pepsi company and Qc be the number sold by the Coca Cola company. Assuming that the marginal cost of producing a can of soda is the same for both companies and equal to 50 cents, find the Nash equilibrium of the soda market in this small town. Illusrate the Nash equilibrium by using the best repsonse functions of both companies. %3DConsider two Cournot oligopolists, firm 1 and firm 2, in a homogenous product market. The market demand is P = 100 - 3Q and each firm has a constant marginal cost MC=10. The market price of equilibrium and total quantity in the market is: Select one: a. P* 30 and Q* = 20 O b. P* 40 and Q* = 20 ○ c. P* = 40 and Q* = 30 O d. P*20 and Q* = 30Consider a homogenous product duopoly in which the two firms, 1 and 2, compete by choosing their respective quantities, Q1 and Q2. Market demand is given by Q=20−P, where P is the market price and Q= Q1+Q2. Firm 2’s total costs are given by TC2 = 2Q2 , while firm 1’s total costs areTC1= Q1^2 . (a) calculate To which firm would the ability to move first be most valuable? Explain fully. 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.
- In| a Stackelberg duopoly where the inverse market demand function they face is P= 62 4.5Q. The cost function for each firm is C(Q) = 8Q. Calculate the outputs of the two firms. Calculate the market price that will be charged.bok rint An oligopoly producing a homogeneous product is comprised of three firms that act like a cartel. Assume that these three firms have identical cost schedules. Assume also that if any one of these firms sets a price for the product, the other two firms charge the same price. As long as they all charge the same price they will share the market equally; and the quantity demanded of each will be the same. Below is the total-cost schedule of one of these firms and the demand schedule that confronts it when the other firms charge the same price as this firm. Complete the marginal-cost and marginal- revenue schedules facing the firm. erences Mc Graw Hill Output Total cost Marginal cost Price Quantity demanded Marginal revenue 0 1 23456 7 8 $0 180 300 480 720 1,020 1,380 1,800 2,280 Short Anewor LA JUL 26 $780 720 660 600 540 480 420 360 Toolbar navigation (a) What price would be charged, what output would be produced, and what profit would be made by this firm? (b) If the firms…Two Cournot competitors face inverse demand p = 50-Q, where Q = 9₁ +92 is the total output of firms 1 and 2. Both firms have marginal cost of 2. What are the equilibrium output levels q₁ and 92? 16 and 16 25 and 25 20 and 9 36 and 3
- In a market with a Duopoly, if Market Demand is P=300-Q find the Cournot reaction curves and the Cournot Quantity solutions then deduce the Price in the case where Marginal Costs curves for either of the Duopoly firms is MC₁=q₁+30 and MC2=q2+30. Compare your results to the case where a Monopolist that has a MC=Q+30 replaces the Duopoly. What are the Monopoly Quantity and Price? Which quantities are bigger, Cournot or Monopoly? What is the Consumer Surplus in both cases? Set-up the Oligopoly model in a game theoretical prisoner's dilemma framework. Explain briefly the strategies and how you reach the Nash Equilibrium.Assume firms' marginal and average costs are constant and equal to c and that inverse market demand is given by P = a - bQ where a, b > 0. Suppose now the market is served by 2 firms (one leader, and one follower) that choose quantities for their identical products. Calculate: i. ii. iii. iv. The Nash equilibrium quantities for the Stackelberg duopolists Market output Market price Firm profitIn a market there are five firms, all have a total cost curve equal to CT = 2q. The market demand is Q = 500 - 5P. How much profit would each firm get if they collude and share the market equitably? What is the profit to each firm if they agree to collude, but one firm misleads the others charging a slightly lower price? What is the profit if all firms do not collude and compete via price?
- Consider a duopoly with a demand curve given by P = a –bQ, where a and b are positive constants and Q is the total production by the two firms. Firms sell identical goods and have an identical constant marginal cost of production c. Fixed costs are equal to zero. We assume firms choose quantities simultaneously (Cournot competition). a. Obtain the first order condition of profit maximization for each firm. Use graphical analysis and economic intuition to explain what they represent. [30%] b. Obtain the profit maximizing quantity for each firm. Explain what they represent using game theory concepts. [20%] c. Demonstrate using relevant graphical analysis and economic intuition that the results obtained in b are not a Pareto Optimum for the firms involved. [20%] d. How would the graphical analysis in part a change if Firm A had a fixed cost of production?Question 4 Consider a duopoly market with 2 firms. Aggregate demand in this market is given by Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot.Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. Describe what a best-response curve is and how to find it. Derive the best-response function for each firm. What are the equilibrium quantities? What is the total quantity supplied on this market? What is the equilibrium price in this market?Consider a Cournot duopoly. The market demand function is P = 112-1(q1 + q2), where P is the market price, q1 is the output produced by Firm 1 and q2 is the output produced by Firm 2. The two firms have a constant marginal cost c = 17. What is Firm 2's profit ? Round your answer to the nearest integer (e.g. 50)