EBK INTERMEDIATE MICROECONOMICS AND ITS
EBK INTERMEDIATE MICROECONOMICS AND ITS
12th Edition
ISBN: 9781305176386
Author: Snyder
Publisher: YUZU
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Chapter 12.3, Problem 2MQ
To determine

the best response function would be during both firm’s marginal cost increased by the same amount

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Two competing firms must choose their quantity of production simultaneously. Each firm can choose either a High quantity of 3 or a Low quantity of 2. The price for both firms is 9-Q, where Q is the sum of both their quantities. Costs are zero; the profit is simply price times quantity. For example, if firm 1 chooses High and firm 2 chooses Low, then price is 9-(3+2)=4; payoff for firm 1 is 12 while payoff for firm 2 is 8. What is the unique Nash equilibrium? (Firm 1's strategy will be written before firm 2's.)
Consider the following hypothetical case. Only BMW and a competitor, Mazda, are  considering launching a new, niche HPC in the Asian market. The issue is what price to  charge. Both new cars are very similar in performance and production cost. Analyse the  interaction between the two firms using game theory. Present a payoff matrix to model the  situation and analyse it for Nash equilibrium. What can either of these firms do to make  their best, most-preferred outcome more likely?
Two firms A and B produce a product jointly. The total value to the two firms from the joint venture is given by V = √iA + √iB where iA and iB are the firms’ respective investment levels. After the investment levels have been chosen, the firms divide V equally. a) Find the Nash equilibrium investment levels, and the payoffs for each firm. b) Suppose that A and B merge. Find the optimal investment levels and the payoffs for the merged firm. Do the firms benefit from the merger? Why?
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