EBK INTERMEDIATE MICROECONOMICS AND ITS
12th Edition
ISBN: 9781305176386
Author: Snyder
Publisher: YUZU
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Question
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?
Chapter 12 Solutions
EBK INTERMEDIATE MICROECONOMICS AND ITS
Ch. 12.2 - Prob. 1TTACh. 12.2 - Prob. 2TTACh. 12.2 - Prob. 1MQCh. 12.2 - Prob. 2MQCh. 12.2 - Prob. 1.1TTACh. 12.2 - Prob. 2.1TTACh. 12.2 - Prob. 1.1MQCh. 12.3 - Prob. 1MQCh. 12.3 - Prob. 2MQCh. 12.3 - Prob. 1TTA
Ch. 12.3 - Prob. 2TTACh. 12.3 - Prob. 1.1MQCh. 12.3 - Prob. 2.1MQCh. 12.3 - Prob. 1.1TTACh. 12.3 - Prob. 2.1TTACh. 12.4 - Prob. 1TTACh. 12.4 - Prob. 2TTACh. 12.5 - Prob. 1MQCh. 12.5 - Prob. 2MQCh. 12.5 - Prob. 1TTACh. 12.5 - Prob. 2TTACh. 12.6 - Prob. 1MQCh. 12.6 - Prob. 2MQCh. 12 - Prob. 1RQCh. 12 - Prob. 2RQCh. 12 - Prob. 3RQCh. 12 - Prob. 4RQCh. 12 - Prob. 5RQCh. 12 - Prob. 6RQCh. 12 - Prob. 7RQCh. 12 - Prob. 8RQCh. 12 - Prob. 9RQCh. 12 - Prob. 10RQCh. 12 - Prob. 12.1PCh. 12 - Prob. 12.2PCh. 12 - Prob. 12.3PCh. 12 - Prob. 12.4PCh. 12 - Prob. 12.5PCh. 12 - Prob. 12.6PCh. 12 - Prob. 12.7PCh. 12 - Prob. 12.8PCh. 12 - Prob. 12.9PCh. 12 - Prob. 12.10P
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Similar questions
- Three retail chains are each deciding whether to locate a store in town A or town B. The profit or payoff that a chain receives depends on the town selected and the number of other chains that put stores in that town; see accompanying table. (given) a. Find a symmetric mixed-strategy Nash equilibrium in which chainsrandomize.b. Find all mixed-strategy Nash equilibria in which one of the chains putsa store in town A for sure.c. Find all mixed-strategy Nash equilibria in which one of the chains putsa store in town B for sure.arrow_forwardFind any Nash equilibria in the game below. Firm B Co-operate Don’t co-operate Firm A Co-operate 60 60 0 80 Don’t co-operate 80 0 10 10 Answer a. There is one Nash equilibrium: both firms don't co-operate. b. There are no Nash equilibria. c. There are two Nash equilibria: one firm co-operates and the other firm doesn't co-operate. d. There are two Nash equilibria: (i) both firms co-operate and (ii) both firms don't co-operate.arrow_forward
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