8. Two firms, the only firms in the market, sell the same product and have the same marginal cost. They realise they would be better off if they didn't compete with each other. They enter an alternating offers bargaining game to decide how they will divide the monopoly profit, n. They have three periods to come to an agreement. If no agreement is reached after three periods, the firms will compete simultaneously in prices. The firms toss a coin to decide who makes the first offer in the bargaining game. Firm 1 wins and decides to go first. Each firm has a discount factor 8. a) Draw the game tree. b) What is the subgame perfect equilibrium when 8 = 0.5? c) What is the equilibrium payoff for each firm? d) Was Firm 1 wise to opt to make the first offer? Explain your answer.

8. Two firms, the only firms in the market, sell the same product and have the same marginal cost. They realise they would be better off if they didn't compete with each other. They enter an alternating offers bargaining game to decide how they will divide the monopoly profit, n. They have three periods to come to an agreement. If no agreement is reached after three periods, the firms will compete simultaneously in prices. The firms toss a coin to decide who makes the first offer in the bargaining game. Firm 1 wins and decides to go first. Each firm has a discount factor 8. a) Draw the game tree. b) What is the subgame perfect equilibrium when 8 = 0.5? c) What is the equilibrium payoff for each firm? d) Was Firm 1 wise to opt to make the first offer? Explain your answer.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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1. Two firms produce identical products at zero cost, and they compete by setting prices. If each firm charges a low price, the both firms earn profits of zero. If each firm charges a high price, then each firm earns profits of $30. if one firm charges a high price and the other firm charges a low price, the firm that charges the lowest price earns profits of $50 and the firm charging the highest price earns profits of zero. a. Write this game in normal form. b. Suppose the game is infinitely repeated. Can the players sustain the "collusive outcome" as a Nash equilibrium if the interest rate if 50 percent?
Q1. Firms in oligopoly must constantly think in terms of how other firms in the industry will react to whatever they do. Why do they have to do this? Why is it that firms in perfect competition and in monopoly don't have to worry about how other firms will react?
Space 1 options: less than or equal to, equal to, greater than or equal to Space 2 options: 0 0.5 1 8 16
Two duopolists are sharing a market in which they are contemplating whether to compete or to cooperate. If they cooperate and behave like a monopolist they will share the monopolist profit of $1800. If they compete each will get a profit of $800 but if one them cooperates while the other chooses to compete the one who cooperates gets $700 while the one who competes will end up with $1000. Set-up the game, explain the process and show the Nash-equilibrium reached when the game is played.
1.) Suppose you have a 10 identical firm Cournot Oligopoly. You don't have a demand equation but you do know that the market elasticity of demand is equal to -0.5 and MC = $4. What is market price? $4.00. none of the available options. $10.00 $5.00. 2.) Refer to the previous question. Suppose 2 firms leave the market. What is the new price? $5.33. $8.00. $4.00. none of the available options.
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2
Please no written by hand solution Suppose two firms compete in quantities (Cournot). Market demand is given by P = 260 − 2Q, where Q = q1 + q2. Both firms have constant MC = AT C = 20.a. Solve for the Cournot equilibrium and find the Cournot equilibrium profits for each firm.b. Now suppose the two firms formed a cartel. What would be the profits for each firm then?c. If firm 2 sticks to the cartel agreement (quantity), then what is the best response for firm 1 (if firm 1 were to deviate)? Find the profits for firm 1 from deviating.d. How large must the probability-adjusted discount factor be in order for the cartel to be stable?e. How would the answer to part d. change if the two firms were competing in prices (Bertrand)?Please answer all steps, because no too much detailed answers required.
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