(2) Two competing firms are each planning to introduce a new product. Each will decide whether to produce Product A, Product B, or Product C. They will make their choices at the same time. The resulting payoffs are shown below. Firm 2 А 10, 20 -5, 15 -30, -30 А -10, -10 | 0, 10 Firm 1 10, 0 -20, -20 20, 10 15, -5 a. Are there any Nash equilibria in pure strategies? If so, what are they? b. If both firms use maxmin strategies, what outcome will result? c. If Firm 1 uses a maxmin strategy and Firm 2 knows this, what will Firm 2 do?

Managerial Economics: A Problem Solving Approach
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ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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Chapter15: Strategic Games
Section: Chapter Questions
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(2) Two competing firms are each planning to introduce a new product. Each will
decide whether to produce Product A, Product B, or Product C. They will make their
choices at the same time. The resulting payoffs are shown below.
Firm 2
A
В
C
-10, -10
10, 0
20, 10
0, 10
-20, -20
15, -5
10, 20
-5, 15
-30, -30
А
Firm 1
B
C
a. Are there any Nash equilibria in pure strategies? If so, what are they?
b. If both firms use maxmin strategies, what outcome will result?
c. If Firm 1 uses a maxmin strategy and Firm 2 knows this, what will Firm 2 do?
Transcribed Image Text:(2) Two competing firms are each planning to introduce a new product. Each will decide whether to produce Product A, Product B, or Product C. They will make their choices at the same time. The resulting payoffs are shown below. Firm 2 A В C -10, -10 10, 0 20, 10 0, 10 -20, -20 15, -5 10, 20 -5, 15 -30, -30 А Firm 1 B C a. Are there any Nash equilibria in pure strategies? If so, what are they? b. If both firms use maxmin strategies, what outcome will result? c. If Firm 1 uses a maxmin strategy and Firm 2 knows this, what will Firm 2 do?
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