4.8 In the Cournot oligopoly of Section 4.2.1, suppose that J = 2. Let each duopolist have constant average and marginal costs, as before, but suppose that 0 < c' < c². Show that firm 1 will have greater profits and produce a greater share of market output than firm 2 in the Nash equilibrium.
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- Consider 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* = 301. Consider two duopolists who each have a constant marginal cost c = e2 = 3 and face inverse demand P = 15 – Q,where Q = Q1 + Q2 is the total output of both firms. 1. Find the Cournot equilibrium quantity for each firm, the resulting market price, and the profits for each firm. 2. Find the Stackelberg equilibrium quantities for each firm, and the price, and the profits for each firm supposing that Firm 1 is the industry leader. 3. Suppose that Firm 2 figures out a way to lower its marginal cost to ez = 0 while firm 1 still has a marginal cost equal to 1: c = 3. How does this affect the Cournot equilibrium quantities, price, and profits? 4. How does this affect the Stackelberg equilibrium (with Firm 1 still as the leader) quantities, price, and profits?Consider 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 Cournot equilibrium quantity for each firm is: a. 7.5 b. 10 c. 5 d.15
- 1. Assume the market demand for carbonated water be given by QD = 200 − 5P. Assuming there are two firms (A and B) producing carbonated water, each with a constant marginal cost of $ 2. a. What is the market equilibrium price and quantity when each firm behaves as a Cournot duopolist choosing quantities? What profit does each firm earn? b. What is the market equilibrium price and quantity when each firm behaves as a Bertrand duopolist choosing price? What firm profit does each firm earn now?The market demand curve for mineral water is given by P=20 - Q. If there are two firms that produce mineral water, each with a constant marginal cost of 8 per unit, fill in the entries for each of the four duopoly models indicated in the table. (In the Stackelberg model, assume that firm 1 is the leader.) Instructions: Round your answers to 1 decimal place. Model Shared monopoly Cournot Bertrand Stackelberg 21 4.5 92 4.5 01 + 0₂ P 11 1 ग 2 π 1+ 2Help me please
- 9.17. Number of competitors. Consider an n firm homogeneous-good oligopoly with constant marginal cost, the same for all firms. Let d ̄ be the minimum value of the dis- count factor such that it is possible to sustain monopoly prices in a collusive agreement. Show that d ̄ is decreasing in n. Interpret the result.1.Suppose a second firm namely Pure Water Ltd enters the market. Let q1 be the output of Clear Water and q2 is the output of Pure Water. Market demand is thus now given by q1+q2 = 90 - P. Assuming Pure Water has the same costs as Clear Water. If each firm is to maximise its profits, taking its rival's output as given (i.e., behave as Cournot oligopolists): (i) Find the equilibrium quantities selected by each firm? (ii) Find the total output and what is the market price and profit for each firm? (iii) Why is the market (public) better off as under the monopolist in question (a)?The inverse demand function in a market is given by P = 500- Q. The fırms that operate in this market have zero fixed costs, and constant marginal costs equal to MC = 2O. %3D
- 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.Please16:04 AM • ll l 16%! eclass.uonbi.ac.ke/mod/qu 2 If a duopolist has a linear demand curve of the form Q=400 – P. Assuming each firm has total cost (TC=3000+100Q). Calculate the profit- maximizing price-quantity combinations using the following four oligopoly pricing models listed below demonstrating that: а. Under the Cournot model, both firms will earn same level of profit and determine industry profit and explain why this is would be the case. b. Under the Cartel model each firm earns a higher profit than under Cournot. Under the Quasi-competitive model, the firm will make a loss equivalent to fixed cost. С. d. Under the Stackelberg's model the leader will earn more than twice the profit of the follower and that total industry profits will be lower than under both Cournot and Cartel models. Explain why this is would be the case. I + II II !!!