Economics (Irwin Economics)
Economics (Irwin Economics)
21st Edition
ISBN: 9781259723223
Author: Campbell R. McConnell, Stanley L. Brue, Sean Masaki Flynn Dr.
Publisher: McGraw-Hill Education
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Chapter 14, Problem 8DQ
To determine

Zero-sum game and the positive-sum game.

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4. The following payoff matrix shows the profit payoff to firms A and B from combinations of price strategies HI and LO. A НІ LOW B HI (6, 6) (16, -5) LOW (-7, 15) (0, 0) (a) In a one period game, what strategy would each firm follow, and why? Determine the equilibrium on the one-period game. (b) Now assume the game is infinite in length. Firm B goes HI in period 1 and continues with HI so long as A does as well. Firm A is deciding between HI and LO. Determine the range of discount rates for which HI is the better choice for Firm A.
18. Answer the next question based on the payoff matrix for a two-firm oligopoly where the numbers represent the firms' respective profits given each of their pricing strategies: FIRM Y O $ 800,000 O $1,000,000 O $1,450,000 Strategies: High-price If both firms collude to maximize joint profits, O $1,250,000 FIRM X High-price X = $625,000 Y = $625,000 Low-price X = $275,000 Y = $725,000 Low Price X = $725,000 Y = $275,000 X = $400,000 Y = $400,000 tal profits for the two firms will be:
5. The following represents the payoffs in a one period game in prices HI and LO. A HI LOW B HI (100, 100) (200,0) LOW (0, 200) (50, 50) (a) If A and B were playing this game only once, what strategy should A choose, and why? (b) A and B are playing the same game an infinite number of times and each has a discount rate of 50% (.50). Firm B adopts a trigger strategy and selects HI in the first round. What would be A's present value of profits from cooperation (HI)? What would be its present value from cheating (LO)? Would A choose to cooperate or cheat?
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