📚 Learning Guide
Dominant Strategies in Game Theory
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Two competing coffee shops, A and B, are deciding whether to offer a discount to attract more customers. If both offer discounts, they split the market and both have average profits. If neither offers a discount, they maintain their current profits. If one offers a discount while the other does not, the discounting shop attracts most customers, resulting in higher profits for the discounting shop and lower for the other. Which of the following best describes the dominant strategy for both coffee shops?

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Choose the Best Answer

A

Both should offer discounts to maximize profits regardless of the other's choice.

B

Both should not offer discounts as it maintains higher average profits.

C

One should offer a discount while the other does not to capture the market.

D

It depends on the individual strategies of each shop, as there is no dominant strategy.

Understanding the Answer

Let's break down why this is correct

Answer

In this situation, the dominant strategy for both coffee shops is to offer a discount. This is because if one shop offers a discount while the other does not, the discounting shop will attract most customers and earn higher profits. If both shops decide to offer discounts, they will end up sharing the market and making average profits, which is still better than risking losing customers by not offering a discount. Therefore, each shop is better off choosing to offer a discount regardless of what the other does. For example, if coffee shop A offers a discount and shop B does not, A will likely gain many more customers and significantly increase its profits.

Detailed Explanation

Both shops want to attract customers. Other options are incorrect because This idea assumes that not offering discounts is always better; This suggests that only one shop should discount.

Key Concepts

Dominant Strategies
Oligopolistic Market Behavior
Payoff Matrix
Topic

Dominant Strategies in Game Theory

Difficulty

medium level question

Cognitive Level

understand

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