2. Consider the following game:Soapy Inc. and Suddies Inc. are the only producers of soappowder. They collude and agree to share the market equally.If neither firm cheats on the agreement, each makes $1million profit. If either firm cheats, the cheat makes a profitof $1.5 million, while the complier incurs a loss of $0.5million. If both cheat, they break even. Neither firm canmonitor the other's actions.a) Construct the payoff matrix.b) What is the dominant strategy?c) What is the nash equilibrium for this game?

The objective of this question is to understand the game theory in economics, specifically the…

Answered: 2. Consider the following game: Soapy…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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4. Farmer Andy and Farmer Betty are the only two farmers that grow heirloom tomatoes for sale at the local farmer's market and compete as Cournot duopolists. The inverse demand curve for heirloom tomatoes at the market is P = 140 - 5Q where P is the %3D price per pound of tomatoes and Q is the number of pounds of tomatoes in hundreds per week; Q = qA + qB. Both Andy and Betty have a cost of growing tomatoes of w = 10, r = 20, and both have K = 1 in the short run. They both have a production function of q = L0.5KO.5. They will both earn profits of --.
1. Two soap producers, the Fortnum Company and the Maison Company, can stress either newspapers or magazines in their forthcoming advertising cam- paigns. The payoff matrix is as follows: Maison Company Stress newspapers Stress magazines Stress newspapers $8 mm, $9 mm $7 mm, $8 mm Fortnum Company Stress magazines $9 mm, $8 mm $8 mm, $7 mm. a. Is there a dominant strategy for each firm? If so, what is it? b. What will be the profit of each firm? c. Is this game an example of the prisoner's dilemma?
aepioymentld=598281800483229979995799&elSBN=9780357133606&id%3D1061548135&snapshotld%32200166& 6. Using a payoff matrix to determine the equilibrium outcome Suppose there are only two firms that sell smartphones: Flashfone and Pictech. The following payoff matrix shows the profit (in millions of dollars) each company will earn, depending on whether it sets a high or low price for its phones. Pictech Pricing High Low High 11, 11 2, 15 Flashfone Pricing Low 15, 2 8, 8 For example, the lower-left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $15 million, and Pictech will earn a profit of $2 million. Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms. If Flashfone prices high, Pictech will make more profit if it chooses a price, and if Flashfone prices low, Pictech will make more profit if it chooses ▼ price. a If Pictech prices high, Flashfone will make more profit if it chooses a price, and…
q19 If you advertise and your rival advertises, you each will earn $4 million in profits. If neither of you advertises, you will each earn $10 million in profits. However, if one of you advertises and the other does not, the firm that advertises will earn $1 million and the non-advertising firm will earn $5 million. If you and your rival plan to be in business for 10 years, then the Nash equilibrium is a. for each firm to not advertise in any year. b. for neither firm to advertise in early years but to advertise in later years. c. for each firm to advertise every year. d. for each firm to advertise in early years but not advertise in later years.
Suppose that there are two firms producing a homogenous product and competing in Cournot fashion and let the market demand be given by Q = 360-- Assume for simplicity that each firm operates with zero total cost. Suppose that two firms collude. How much more profit each firm can obtain relative to Cournot competition? 8000 14400 7200 16000
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 o. 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. %3D
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Consider two cigarette companies, PM Inc. and Brown Inc. If neither company advertises, the two companies split the market. If they both advertise, they again split the market, but profits are lower, since each company must bear the cost of advertising. Yet if one company advertises while the other does not, the one that advertises attracts customers from the other. Refer to Scenario 17-3. What is PM Inc.'s dominant strategy? to advertise only if Brown Inc. does not advertise to refrain from advertising, regardless of whether Brown Inc. advertises to advertise, regardless of whether Brown Inc. advertises to advertise only if Brown Inc. advertises
1. Perloff Chapter 14, Exercise 3.13 3.13 A duopoly faces an inverse market demand function of p = 120 - Q. Firm 1 has a constant marginal cost of 20. Firm 2's constant marginal cost is 40. Calculate the output of each firm, market output, and price in (a) a collusive equilibrium or (b) a Nash-Cournot equilibrium. (Hint: See Solved Problem 14.10.) M
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 o. a) Draw the game tree. b) What is the subgame perfect equilibrium when o = 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.

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