📚 Learning Guide
Nash Equilibrium in Game Theory
hard

In a competitive market scenario, consider two firms, A and B, deciding whether to advertise or not. If both firms choose to advertise, they each earn $30. If neither advertises, they earn $50 each. If one advertises and the other does not, the advertiser earns $20 while the other earns $40. Classify the strategic outcomes based on Nash Equilibrium principles. Which scenario represents a Nash Equilibrium?

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Choose the Best Answer

A

Both firms advertising

B

Both firms not advertising

C

Firm A advertising and Firm B not advertising

D

Firm A not advertising and Firm B advertising

Understanding the Answer

Let's break down why this is correct

Answer

In this scenario, we look at the decisions of firms A and B regarding advertising. A Nash Equilibrium occurs when neither firm can improve its earnings by changing its strategy while the other firm's strategy remains the same. If both firms advertise, they earn $30 each, but if neither advertises, they earn more at $50 each, making the latter a better outcome for both. If one firm advertises and the other does not, the advertiser earns $20, which is less than what they would earn if they both chose not to advertise. Therefore, the scenario where neither firm advertises and both earn $50 represents a Nash Equilibrium, as neither firm would want to change their choice given the other firm's decision.

Detailed Explanation

This is a Nash Equilibrium because if both firms choose not to advertise, neither can improve their earnings by changing their choice alone. Other options are incorrect because This option seems good, but both firms could earn more by not advertising; This choice is not stable.

Key Concepts

Nash Equilibrium
Strategic interaction
Oligopoly behavior
Topic

Nash Equilibrium in Game Theory

Difficulty

hard level question

Cognitive Level

understand

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