Suppose the inverse demand for a Stackelberg oligopoly is P = 100 - 2(Q₁ + Q₂) and MC₁ = C₁ = $2 and MC₂ C₂ = $4 for the leader and follower, respectively. a The equilibrium output for the leader is 50 and the equilibrium output for the follower is 25. The equilibrium output for the b leader is 6 and the equilibrium output for the follower is 3.5. с The equilibrium output for the leader is 25 and the equilibrium output for the follower is 11.5. The equilibrium output for the d leader is 100 and the equilibrium output for the follower is 50.
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- 1. Consider an industry with inverse demand given by p = 8 – q, where p is the price, and q is the quantity. There is one incumbent firm and one potential entrant. In the first stage of the game, the incumbent chooses its quantity qi. In the second stage, the potential entrant observes qi and chooses its quantity Ce. The potential entrant can also decide not to enter the market. The production technology of both firms are represented by the cost function C = 2q. To enter industry implies a fixed entry cost of F. (a) Find the equilibrium of the game, assuming that the potential entrant enters the industry. What are the profits of firms? (b) Assume that entry is not blockaded. For which values of F does the incumbent firm prefer to deter entry? (c) For which values of F, entry blockaded?Two firms produce identical products at zero cost, and theycompete by setting prices. If each firm charges a low price,then both firms earn profits of zero. If each firm charges ahigh price, then each firm earns profits of £30. If one firmcharges a high price and the other firm charges a low price,the firm that charges the lower price earns profits of £50, andthe firm charging the higher price earns profits of zero. (a) Which oligopoly model best describes this situation?(b) Write this game in normal form.(c) Suppose the game is infinitely repeated. Can theplayers sustain the "collusive outcome" as a Nashequilibrium if the interest rate is 50 percent? Explain. Please answer the a, b and c parts.Company A and Company B are competing oligopolists. Both companies are considering increasing or maintaining their prices The payoff matrix shows the profits of the companies in millions based on their possible actions. Company B Increase Price Maintain Price Company A Increase Price $50, $40 $35, 530 Maintain Price 555, $45 $60, $35 The government offers a $5 milon subsidy to maintain current pricing. What is the expected outcome of the new payoff matrix, given the subsidy? The Nash equilibrium changes, and both companies will maintain their prices O The Nash equilbrium changes, and both companies will increase their prices O The Nash equilibrium remains the same, and both companies will increase their prices O Company A wit increase its price, whie Company B maintains its price. O Company A will maintain its price, while Company Bincreases ts price.
- 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)?Two firms produce and sell differentiated products that are substitutes for each other. Their dernand curves are Firm 1:Q, 40-3P,+ P, Firm 2: 0, - 40 - 3P,+ P, Bolh firms have constant marginal costs of $5.00 per unit. Both fims set their own price and take their competitor's price as fixed. Use the Nash equilibrium concept to determine the equiltbirium set of prices. Since Ihe firms ane identical, they wil set the same prices and produce the same quantities. In equibrium, each firm will charge a price of 8 and produce units of output. (Enter your responses rounded to wo decimal places). OPEC, the Organization of Petroleum Exporting Countries, was founded in 1969. Their original objective was to form a cartel to increase the price that they receive for their oil exports. Create a prisoner’s dilemma type game for two large members of OPEC (e.g. Saudi Arabia and Indonesia). Create numbers, where payoffs are total annual oil export revenues for each of these two countries. Verbally explain how you got your numbers. Find the Nash equilibrium. Based on this model, what strategy is in the oil exporters’ best interest (Nash or otherwise)? How do they make it happen? Create another prisoner’s dilemmamodel for all of OPEC on one side, and all non OPEC oil exporting nations on the other side. Create numbers, where payoffs are total annual oil export revenues for each of the two sides. Verbally explain how you created your numbers. Also create your numbers applying the fact that OPEC’s total production capacity is greater than total non OPEC exports…
- There are two firms in the market (duopoly). These two firms are competingsimultaneously. The first firm chooses its output level (x) by predicting the second firm’soutput (y). Let c denote the total cost function c(x) = x and c(y) = y. Also, let’s assumethat the inverse demand function is p(Y) = 7 - Y where Y = x + y. (1) Obtain the reactionfunction of the first firm. (2) Find the equilibrium (output and profit of each firm) whentwo firms simultaneously competeOligopoly Consider a market in which the market demand curve is given by P= 18 - Q, Firm 1 has a marginal cost of 3, while Firm 2 has amarginal cost of 6. Find the Cournot equilibrium output. What arethe Stackelberg equilibrium output if firm 1 act as the leader?Table 2 below represents the payoff matrix for two firms, X and Y, who compete with each other. Payoffs are in millions of pounds (£) profit. Each firm may choose one of two strategies i.e. set a high price for its output or set a low price for its output. Neither firm knows what strategy the other will adopt. Table 2 11. Firm Y High Price Low Price Firm X High Price X-£7mn, Y-£7mn X=£1mn, Y=£15mn Low Price X-£15mn, Y-£1mn X=£4mn, Y=£4mn In the absence of collusion, which combination of strategies is most likely to occur? a) X sets a low price and Y sets a low price. b) X sets a high price and Y sets a low price. c) X sets a low price and Y sets a high price. d) X sets a high price and Y sets a high price.
- 1. Best responses in a Cournot Oligopoly Firm A and Firm B sell identical goods Total market demand for the good is: The inverse demand function is therefore 1 P(QM) = 780 -Q=780 -0.02222QM 45 QM is total market production (i.e., combined production of firm's A and B. That is: Q(P) = 35, 100- 45P 2M = A +QB As a result, the inverse demand curve for each firm is: P(QA, QB) = 780- -1/32₁-752 45 Unlike the example in class, the two firms have different costs. = 4000A TCA (QA) TCB (QB) = 260QB = 780 -0.022220A -0.02222QB a. Using the demand function and the cost functions above, what is firm A's profit function. b. Using the profit function above and assuming that firm B produces Qg, calculate what firm A's best response is to firm B’s decision to produce QB- Note: Firm A's best response should be a function of BWhat is the homogeneous-good duopoly Cournot equilibrium if the market demand function is Q= 1,800 - 1,000p. and each firm's marginal cost is $0.28 per unit? The Cournot-Nash equilibrium occurs where q, equals and 92 equals (Enter numenic responses using real numbers rounded to two decimai places.) Furthermore, the equilibrium occurs at a price of $ (Round your answer to the nearest penny.)Alpha Gear is a fitness apparel company. One of their best selling products are their joggers. The company sells joggers under a block pricing scheme that charges $13 per pair of joggers if the customer buys up to 10 joggers and $8 if they buy 11 to 20 joggers. The demand curve is Q-1400 - 25P, and the marginal cost of making a pair of joggers is $5. What are the profits for Alpha Gear under this pricing scheme? 8975 8600 3600 12200 000