Each firm has four alternative strategies, and a certain profit/payoff is associated with each strategy. The numbers in the payoff matrix denote firm A's profit (in thousands of dollars). The total amount of profit that can be earned by the two firms together is $20000. (This is called a "constant sum game.") Firm B's profit is therefore $20000 minus firm A's profit. What strategies will the two firms select? Is the game strictly determined? If so, how much does each firm gain?

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter15: Strategic Games
Section: Chapter Questions
Problem 9MC
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a.
b.
Each firm has four alternative strategies, and a certain profit/payoff is associated with
each strategy. The numbers in the payoff matrix denote firm A's profit (in thousands of
dollars). The total amount of profit that can be earned by the two firms together is
$20000. (This is called a "constant sum game.") Firm B's profit is therefore $20000
minus firm A's profit. What strategies will the two firms select? Is the game strictly
determined? If so, how much does each firm gain?
B's strategies
A's strategies ↓
Increase
Advertising
Decrease
Price
Increase
Price
Alter
Product
Increase
Advertising
0
11
8
11
Decrease
Price
8
10
6
2
Increase
Price
7
12
15
Alter
Product
4
15
3
12
Suppose now that due to a change in consumer preferences, firm A's "Increase Price"
strategy pays off better than before when firm B elects to "Decrease Price," that is, the
payoff rises from 6 to 14. What strategies will the two firms now select? Is the game
strictly determined? If so, how much does each firm gain? If not, show that each firm's
best strategy changes from one period to the next.
Transcribed Image Text:a. b. Each firm has four alternative strategies, and a certain profit/payoff is associated with each strategy. The numbers in the payoff matrix denote firm A's profit (in thousands of dollars). The total amount of profit that can be earned by the two firms together is $20000. (This is called a "constant sum game.") Firm B's profit is therefore $20000 minus firm A's profit. What strategies will the two firms select? Is the game strictly determined? If so, how much does each firm gain? B's strategies A's strategies ↓ Increase Advertising Decrease Price Increase Price Alter Product Increase Advertising 0 11 8 11 Decrease Price 8 10 6 2 Increase Price 7 12 15 Alter Product 4 15 3 12 Suppose now that due to a change in consumer preferences, firm A's "Increase Price" strategy pays off better than before when firm B elects to "Decrease Price," that is, the payoff rises from 6 to 14. What strategies will the two firms now select? Is the game strictly determined? If so, how much does each firm gain? If not, show that each firm's best strategy changes from one period to the next.
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