Consider a market with two firms, Kellogg and Post, that sell breakfast cereals. Both companies must choose whether to charge a high price ($4.00) or a low price ($2.50) for their cereals.
Consider a market with two firms, Kellogg and Post, that sell breakfast cereals. Both companies must choose whether to charge a high price ($4.00) or a low price ($2.50) for their cereals.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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 alt="### Transcription for Educational Website
**Market Scenario: Kellogg and Post**
Consider a market with two firms, Kellogg and Post, that sell breakfast cereals. Both companies must decide whether to charge a high price ($4.00) or a low price ($2.50) for their cereals.
These price strategies, with corresponding profits, are depicted in the payoff matrix to the right. Kellogg's profits are in red and Post's are in blue.
**Question 1: What is the cooperative equilibrium for this game?**
1. **A.** The cooperative equilibrium is for Kellogg to choose a price of $2.50 and Post to choose a price of $4.00.
2. **B.** The cooperative equilibrium is for Kellogg and Post to both choose a price of $2.50.
3. **C.** The cooperative equilibrium is for Kellogg and Post to both choose a price of $4.00. ✅
4. **D.** The cooperative equilibrium is for Kellogg to choose a price of $4.00 and Post to choose a price of $2.50.
5. **E.** A cooperative equilibrium does not exist for this game.
**Question 2: Is the cooperative equilibrium likely to occur?**
The cooperative equilibrium:
1. **A.** is likely to occur because the companies do not have dominant strategies.
2. **B.** is unlikely to occur because the cooperative equilibrium is a Nash equilibrium.
3. **C.** is likely to occur because charging $4.00 is a dominant strategy.
4. **D.** is likely to occur because the game does not have a Nash equilibrium.
5. **E.** is unlikely to occur because charging $4.00 is not a dominant strategy.
**Explanation of the Payoff Matrix Diagram:**
The payoff matrix shows the profits (in dollars) for Kellogg and Post based on their chosen pricing strategies:
- **Kellogg charges $4.00 / Post charges $4.00:**
- **Kellogg's profit:** $800
- **Post's profit:** $800
- **Kellogg charges $4.00 / Post charges $2.50:**
- **Kellogg's profit:** $50
- **Post's profit:** $900
- **Kellogg charges $2.50 / Post charges $4.00:**
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Transcribed Image Text:### Transcription for Educational Website
**Market Scenario: Kellogg and Post**
Consider a market with two firms, Kellogg and Post, that sell breakfast cereals. Both companies must decide whether to charge a high price ($4.00) or a low price ($2.50) for their cereals.
These price strategies, with corresponding profits, are depicted in the payoff matrix to the right. Kellogg's profits are in red and Post's are in blue.
**Question 1: What is the cooperative equilibrium for this game?**
1. **A.** The cooperative equilibrium is for Kellogg to choose a price of $2.50 and Post to choose a price of $4.00.
2. **B.** The cooperative equilibrium is for Kellogg and Post to both choose a price of $2.50.
3. **C.** The cooperative equilibrium is for Kellogg and Post to both choose a price of $4.00. ✅
4. **D.** The cooperative equilibrium is for Kellogg to choose a price of $4.00 and Post to choose a price of $2.50.
5. **E.** A cooperative equilibrium does not exist for this game.
**Question 2: Is the cooperative equilibrium likely to occur?**
The cooperative equilibrium:
1. **A.** is likely to occur because the companies do not have dominant strategies.
2. **B.** is unlikely to occur because the cooperative equilibrium is a Nash equilibrium.
3. **C.** is likely to occur because charging $4.00 is a dominant strategy.
4. **D.** is likely to occur because the game does not have a Nash equilibrium.
5. **E.** is unlikely to occur because charging $4.00 is not a dominant strategy.
**Explanation of the Payoff Matrix Diagram:**
The payoff matrix shows the profits (in dollars) for Kellogg and Post based on their chosen pricing strategies:
- **Kellogg charges $4.00 / Post charges $4.00:**
- **Kellogg's profit:** $800
- **Post's profit:** $800
- **Kellogg charges $4.00 / Post charges $2.50:**
- **Kellogg's profit:** $50
- **Post's profit:** $900
- **Kellogg charges $2.50 / Post charges $4.00:**
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