2. Consider a duopoly with firms selling identical goods. Firms are assumed to face a linear demand function, identical constant marginal costs and zero fixed costs. a. Assume decisions are taken in a two stage game. In stage 1, Firm A chooses quantity, in stage 2, Firm B chooses quantity. Use graphical analysis and economic intuition to obtain the Subgame Perfect Nash Equilibrium Strategies. b. What would happen in a) if you add a stage 3 to the above game where firm A can change its quantity? [ c. Assume now that firms choose prices. Firm A chooses price in stage 1 and Firm B chooses price in stage 2. Use graphical analysis and economic intuition to explain the price consumers will pay

2. Consider a duopoly with firms selling identical goods. Firms are assumed to face a linear demand function, identical constant marginal costs and zero fixed costs. a. Assume decisions are taken in a two stage game. In stage 1, Firm A chooses quantity, in stage 2, Firm B chooses quantity. Use graphical analysis and economic intuition to obtain the Subgame Perfect Nash Equilibrium Strategies. b. What would happen in a) if you add a stage 3 to the above game where firm A can change its quantity? [ c. Assume now that firms choose prices. Firm A chooses price in stage 1 and Firm B chooses price in stage 2. Use graphical analysis and economic intuition to explain the price consumers will pay

Principles of Economics (MindTap Course List)

8th Edition

ISBN:9781305585126

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter17: Oligopoly

Section: Chapter Questions

Problem 5CQQ

See similar textbooks

Similar questions

Sometimes oligopolies in the same industry are very different in size. Suppose we have a duopoly where one firm (Film A) is large and the other film (Film B) is small, as the prisoners dilemma box in Table 10.4 shows. Assuming that both films know the payoffs, what is the likely outcome in this case?
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,?
1. Find all subgame perfect nash equilibrium 2. Find a nash equilibrium that is not SPNE, and explain why it is not an SPNE.
◄ Search 12:47 PM Sun Nov 12 ← Note Nov 12, 2023 Uptown's price strategy The Nash equilibrium occurs when High Low LED RareAir's price strategy High $12 $15 The more favorable outcome would be for $12 Tt ✪ $6 B Low $6 D $8. $15 $8 S O both firms have an incentive to deviate from this strategy given the strategy of the competing firm. It is shown by the dominant strategy of cell A. 92% neither firm has an incentive to deviate from this strategy given the strategy of the competing firm. It is shown by the dominant strategy of cell D. O one firm consistently has an incentive to deviate from this strategy given the strategy of the competing firm. It is shown by the high-price strategy of cell B. O one firm consistently has an incentive to deviate from this strategy given the strategy of the competing firm. It is shown by the high-price strategy of cell C. O the firms to collude and use the high-price strategy but this strategy requires cooperation. O one firm to take the lead and let the…
28 A payoff matrix shows the payoffs (i.e. bribes) required to government officials for firms undertaking specific actions. A details the actions each firm takes. shows the payoffs to each firm for each possible outcome. is optional in game theory. 29 A player's best response is the strategy that maximizes his payoff given what he thinks the other player will do. a dominant strategy. A В impossible to find when there isn't a Nash equilibrium. a way to avoid the prisoners' dilemma. D 30 Strategic advertising in the cola market significantly expands the size of the market. brings in few new customers and primarily shifts market share among A В rivals. shifts market demand to the right, increasing quantity sold and decreasing prices. has no impact on the market. C D B.
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 B