5. Duopolist firms 1 and 2 compete on price with some market differentiation. Demand for firm ie{1, 2} is q, = 2 – 2p, + P, Neither firm has costs. a. Find the best response functions for each firm in the static game. b. Find the unique Nash equilibrium prices in the static game. c. Are prices strategic complements or strategic substitutes? Briefly explain. d. Does Firm 1 want Firm 2 to increase or decrease p,?
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- 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 BGive typing answer with explanation and conclusion Suppose two firms produce identical good. The inverse demand curve for the good is: P = 240-Q, where Q is the total quantity produced by the two firms. Each firm has a constant marginal cost 20 of producing the good and fixed cost = 100. Find the Cournot Nash equilibrium of this game. What quantity will each firm produce? what will be the market price? What would be the profits of each firm?2. Using a payoff matrix to determine the equilibrium outcome Please help
- 12. Two firms with differentiated products are competing in price. Firm A and B face the following demand curves: QA = 90 – 2PĄ + Pg and QB = 140 – 2Pg + PA respectively. Assume production is costless. a. Give equations for and graph each firm's reaction curve. b. If both firms set their prices at the same time, what is the Nash equilibrium price, quantity, and profit for each firm? c. Suppose A sets its price first and then B responds. What price and quantity does each firm set now? Is it advantageous to move first? d. Compare the profits from part b and c. Which firm benefits more from the sequential price choosing?The payoff matrix in the figure to the right shows the payoffs for a pricing game. If you were firm A, which strategy would you choose? Firm A should A. price high because this is their maximin strategy. B. price low because this is their tit-for-tat strategy. C. price high because this is their dominant strategy. D. price low because this is their dominant strategy. E. price low because this maximizes profits of both firms. Firm B's dominant strategy is to price If this game were repeated a large number of times and you were firm A and you could change your strategy, what might you do? Firm A should O A. use a tit-for-tat strategy by responding in kind to firm B's play. B. use a maximin strategy by maximizing the minimum gain that can be earned. C. use a tit-for-tat strategy by selecting a price that minimizes firm B's profits. D. use a maximin strategy by by responding in kind to firm B's play. E. use a tit-for-tat strategy by maximizing the minimum gain that can be earned. C Price…Belge1 - Word eri Gözden Geçir Görünüm Yardım Ne yapmak istediğinizi söyleyin 1) Two firms, X and Y, are planning to market their new products. Each firm can develop TV, Laptop. Market research indicates that the resulting profits to each firm for the alternative strategies are given by the following payoff matrix ! FIRM Y TV LAPTOP PHONE FIRM X TV 30, 30 60. 35 20, 50 LAPTOP 40,70 20, 20 50,80 PHONE 50,20 80,50 10,10 A) Find the Nash equilibria for this game, assuming that both firms make their decisions at the same time. (explain the decision step by step); B) If each firm is risk averse and uses a maximin strategy, what will be the resulting equilibrium? (explain the decision step by step); C) What will be the equilibrium if Firm X makes its selection first? If Firm Y goes first?:
- fast please 4. In the game shown in Table 12.2, the firms' Part 1 A. both have a dominant strategy of choosing a high price. B. do not have a dominant strategy. C. both have a dominant strategy of choosing a low price. D. will alternate between high price and low price strategies.Only typed answer3. There are three identical firms in the market research industry. The demand is 1 – Q, where Q = q1 + q2 + q3. The marginal cost is zero. a. Compute the Cournot equilibrium b. Show that if two of the three firms merge (transforming the industry into a duopoly), the profit of these firms decreases. Explain why and use a table to show the changes. c. Show the result on profits if all three firms were to merge
- 3. for two firms that share a market if demand p=300-q where q is the total quantity sold and fixed cost is 300 and MC is 20 and suppose if the firms are in collusion and the first firm decides to cheat ,how much will the first firm produce ,what will its "p " be and profit be and how much will it exceed the second firm.Also then if both firms collude but both cheat then what will each firm make profit?6.1. Two firms (A and B) play a competition game (i.e. Cournot) in which they can choose any Qi from 0 to ¥. The firms have the same cost functions C(Qi) = 10Qi + 0.5Qi2, and thus MCi = 10 + Qi. They face a market demand curve of P = 220 – (QA + QB). a. Assume firm A chooses quantity first. Frim B observes this choice and then chooses its own quantity. What is Frim B's profit as a function of QA and QB? b. Firm B has MRB = 220 – 2QB – QA. What is firm B’s best response to an arbitrary QA selected by firm A? c. Given that firm A expects firm B’s best response, what is firm A’s profit as a function of QA? (Hint: the only unknown variable in the profit function should be QA) d. Firm A has MRA = 150 – 4QA/3. What are the equilibrium QA and QB selected in this game? e. What is the equilibrium price, and how much profit does each firm collect?