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- Consider the payoff matrix below representing two firms engaged in Bertrand Competition. Firm A is player 1 and Firm B is player 2. High price Low price High price 10, 12 -1, 13 Low price 12, 2 0, 3 What is Firm A's dominant strategy? Question 14Answer a. High price b. Low price c. Firm A does not have a dominant strategyProblem II. Suppose a small town has only two firms (firm1 and firm 2) selling the same product. Each firm can either set a high price (H) or a low price (L) for its product. The payoff matrix below displays the profits per day given the combination of prices for both firms. The first entry shows firm1’s profits while the second entry shows the second firm’s profits. The information displayed in the playoff matrix are known by both firms. Firm 2 High price Low Price Firm 1 High price $210; $220 $80; $260 Low Price $240; $160 $150; $140 Does each firm have a dominant strategy to set a high price, a dominant strategy to set a low price, or does it have no dominant strategy? In other words, find the dominant strategy of each firm, if it exists. Explain your answer. Assuming that the two firms do not cooperate to set prices, what will be the profits of each firm? The local authorities of the…Exercise 6.7. Suppose two identical companies produce wood stoves and they are the only ones on the market. Its costs are given by: C1 (q1 )=200q1 and C2 (q2) = 200q2. And the inverse market demand curve is: P=2000-2Q, where Q =q1 + q2 Get the Cournot-Nash equilibrium. Calculate the profits of each company. Show graphically. Suppose that the two companies form a cartel to maximize joint profits. How many stoves will you produce? Calculate the profits of each company. Represent graphically. Managers now note that explicit agreements to collude are illegal. Each company must decide on its own whether to produce the amount of Cournot or that of the cartel.
- 4)The result with unspecified N firms can be applied to N approaching infinity. Q2) Which of the following statements about the classic Cournot duopoly model is incorrect? 1)The products of the two firms are homogeneous. 2)It is a static game with complete information. 3)The two firms decide on their prices and let their quantities be dictated demand conditions. 4)There exist examples that have unique Nash equilibrium pointsCalculate the Herfindahl index for a duopoly market where each firm has equal market. Calculate the Herfindahl index for a three-firm oligopoly market in which one firm hasa 80% market share and the other firms each have 10% market share. iii. Calculate the Herfindahl index for a 10-firm oligopoly in which each firm has equal market shares. iv. Which of the above markets is the least competitive? Justify your position.Q1. Which is which? Identify the oligopoly model based on the description. Two Firms, high barriers to Entry, Firms sell identical goods, Firms simultaneously choose output______(a. Cournot Duopoly b. Monopolistic Duopoly c. Bertrand Duopoly d. Stackelberg Duopoly) Two Firms, high barriers to entry, Firms sell identical goods, Firms simultaneously choose prices______(a. Stackelberg Duopoly b. Bertrand Duopoly c. Hotelling Duopoly d. Cournot Duopoly) Few Firms, low barriers to entry, firms sell substitutes but differentiated goods______(a. Monopolistic Competition b. Bertrand Oligopoly c. Bertrand Competition with Differentiated Goods d. Cournot Oligopoly) Two firms, high barriers to entry, firms sequentially choose output______(a. Stackelberg Duopoly b. Bertrand Duopoly c. Cournot Duopoly d. Monopolistic Competition)
- (Table: Samsung and Apple’s Payoff Table) Suppose that a market is dominated by two large firms, Samsung and Apple. Both have two choices: to Advertise or Do not advertise. The payoff table below shows the potential revenues associated with each firm’s strategies. For example, if Apple advertises and Samsung does not, the payoff to Apple is $75,000 and Samsung’s payoff is -$25,000. What are Apple and Samsung’s respective dominant strategies? Apple (right payoffs) Samsung Do not advertise Advertise Do not advertise (50000, 50000) (-25000, 75000) Advertise (75000, -25,000) (10000,10000) Group of answer choices Do not advertise, Do not advertise Advertise, Advertise Do not Advertise, Advertise Advertise, Do not Advertise8. Collusive outcome versus Nash equilibrium Consider a remote town in which two restaurants, All-You-Can-Eat Café and GoodGrub Diner, operate in a duopoly. Both restaurants disregard health and safety regulations, but they continue to have customers because they are the only restaurants within 80 miles of town. Both restaurants know that if they clean up, they will attract more customers, but this also means that they will have to pay workers to do the cleaning. If neither restaurant cleans, each will earn $12,000; alternatively, if they both hire workers to clean, each will earn only $9,000. However, if one cleans and the other doesn't, more customers will choose the cleaner restaurant; the cleaner restaurant will make $16,000, and the other restaurant will make only $4,000.2. Ryan and Zheka produce the same homogeneous product and each has constant marginal costs of \$7. Market demand is linear, with vertical intercept 60 and horizontal intercept 30. Ryan and Zheka are Bertrand competitors, so pricing is important to them. What price will each charge in the unique Nash equilibrium of this Bertrand duopoly? a) Both charge a price of \$6. b) Both charge a price of \$7. c) Both charge a price of \$20. d) One charges \$7, the other stays out of the market.
- Suppose that two firms produce mountain spring water and the market demand for mountain spring water is given as follows: P= 254 - 91 - 92 Firm 1 and Firm 2 have a MC = 50 a) Find the Cournot-Nash equilibrium price and quantity of each firm. b) Assume now that firm 1 becomes the Stackelberg leader. What will be the market price, output by each firm? Compared to part a, who gains? c) If Firm 1 chooses a quantity, then Firm 2 chooses a quantity (having observed Firm 1's quantity), then Firm 1 has an opportunity to revise its quantity (having observed Firm 2's quantity), then payoffs are determined, does either firm stand to gain relative to the case of simultaneous quantity choice? Why or why not? (hint: there is no need to do any calculation here).Continuous Strategy in Static Game: Bertrand and Cournot Model 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 A, B and C, 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)?A homogenous-good duopoly faces an inverse market demand function of p = 150 − Q. Assume that both firms face the same constant marginal cost, MC1 = MC2 = 30. Calculate the output of each firm, the market output, and the market price in a Nash-Cournot equilibrium Re-solve part (a) assuming that the marginal cost of firm 1 falls to MC1 =20 Explain what will happen to each firm’s output, the market output, and the market price if the two firms can collude (e.g., form a cartel)