Zero-sum game and the positive-sum game.

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Chapter 14, Problem 8DQ

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Zero-sum game and the positive-sum game.

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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:

Suppose that Firm A and Firm B are independently deciding whether to sell at a low price or a high price. The payoff matrix below shows the profits per year for each company resulting from the two price options. Firm B High Price Firm B Low Price $5 million $2 million $3 million $1 million $4 million $5 million $2 million $3 million a. Does Firm A have a dominant strategy? O The dominant strategy for Firm A is a low price. O The dominant strategy for Firm A is a high price. O No, there is no dominant strategy for Firm A. b. Does Firm B have a dominant strategy? O The dominant strategy for Firm B is a high price. The dominant strategy for Firm B is a low price. O No, there is no dominant strategy for Firm B. c. What are the Nash equilibria in this game? Instructions: In order to receive full credit, you must make a selection for each option. For correct answer(s), click the box once to place a check mark. For incorrect answer(s), click the option twice to empty the box. 2 Firm A charges…

Suppose that Firm A and Firm B are independently deciding whether to sell at a low price or a high price. The payoff matrix below shows the profits per year for each company resulting from the two price options. Firm B High Price Firm B Low Price $5 million $2 million $3 million $1 million $4 million $5 million $2 million $3 million a. Does Firm A have a dominant strategy? O The dominant strategy for Firm A is a low price. O No, there is no dominant strategy for Firm A. O The dominant strategy for Firm A is a high price. b. Does Firm B have a dominant strategy? O The dominant strategy for Firm B is a low price. O The dominant strategy for Firm B is a high price. O No, there is no dominant strategy for Firm B. Firm A Low Price Firm A High Price