Give step-by-step solution with explanation and final answer:Suppose that Vitablend snd Biend Magic are the only two firms in 3 hypothetical market that produce and sell personal blenders. The following payoff
matrix gives profit scenarios for each company (in millions of dollars), depending on whether It chooses to set a high or low price for blenders.
Blend Magic Pricing
Hon Low
Hon 1 ss
Vitablend Pricing
ow ms mn
For example, the lower-left cel shows that if Vitablend prices low and Blend Magic pices high, Vitablend will sam a profit of $18 milion, and lend
Magic wil earn a profit of $6 millon. Assume this is a simultaneous game and that Vitablend and Blend Magic are both profit-maximizing firms.
1 Vitablend prices high, Blend Magic wil make more profit if it chooses a price, and if Vitablend prices low, Blend Magic will make more:
profi if t chooses a price.
If Blend Magic prices high, Vitablend wil make more profit if it chooses price, and If Blend Magic prices low, Vitablend wil make more
profi if t chooses a price.
Considering al of the information given, pricing high wa dominant strategy for both itablend and Blend Magic
Question:
Give step-by-step solution with explanation and final answer:Suppose that Vitablend snd Biend Magic are the only two firms in 3 hypothetical market that produce and sell personal blenders. The following payoff
matrix gives profit scenarios for each company (in millions of dollars), depending on whether It chooses to set a high or low price for blenders.
Blend Magic Pricing
Hon Low
Hon 1 ss
Vitablend Pricing
ow ms mn
For example, the lower-left cel shows that if Vitablend prices low and Blend Magic pices high, Vitablend will sam a profit of $18 milion, and lend
Magic wil earn a profit of $6 millon. Assume this is a simultaneous game and that Vitablend and Blend Magic are both profit-maximizing firms.
1 Vitablend prices high, Blend Magic wil make more profit if it chooses a price, and if Vitablend prices low, Blend Magic will make more:
profi if t chooses a price.
If Blend Magic prices high, Vitablend wil make more profit if it chooses price, and If Blend Magic prices low, Vitablend wil make more
profi if t chooses a price.
Considering al of the information given, pricing high wa dominant strategy for both itablend and Blend Magic
This is AI generated Response.
Asked by: ronak
Created at: 2025-08-28 18:58:01
Final Answer:
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Let's break down the **payoff matrix** and solve the problem step-by-step:
### Step 1: **Payoff Matrix Table**
| | **Blend Magic High** | **Blend Magic Low** |
|-------------------------|:-------------------:|:------------------:|
| **Vitablend High** | 14, 14 | 6, 18 |
| **Vitablend Low** | 18, 6 | 12, 12 |
- First number: **Vitablend's profit**
- Second number: **Blend Magic's profit**
---
### Step 2: **Blend Magic's Best Response**
- **If Vitablend prices high:**
- Blend Magic chooses **High**: gets 14
- Blend Magic chooses **Low**: gets 18 (**better**)
- **If Vitablend prices low:**
- Blend Magic chooses **High**: gets 6
- Blend Magic chooses **Low**: gets 12 (**better**)
**So, Blend Magic will always prefer to set a LOW price, regardless of what Vitablend does.**
---
### Step 3: **Vitablend's Best Response**
- **If Blend Magic prices high:**
- Vitablend chooses **High**: gets 14
- Vitablend chooses **Low**: gets 18 (**better**)
- **If Blend Magic prices low:**
- Vitablend chooses **High**: gets 6
- Vitablend chooses **Low**: gets 12 (**better**)
**So, Vitablend will also always prefer to set a LOW price, regardless of what Blend Magic does.**
---
### Step 4: **Dominant Strategy**
- Both companies have a **dominant strategy**: **LOW price**.
---
### Step 5: **Fill in the Blanks**
> If Vitablend prices high, Blend Magic will make more profit if it chooses a **low** price, and if Vitablend prices low, Blend Magic will make more profit if it chooses a **low** price.
> If Blend Magic prices high, Vitablend will make more profit if it chooses a **low** price, and if Blend Magic prices low, Vitablend will make more profit if it chooses a **low** price.
> Considering all the information given, pricing **low** is a dominant strategy for both Vitablend and Blend Magic.
---
## **Final Answers (to fill in the blanks):**
1. **low**
2. **low**
3. **low**
4. **low**
5. **low**
---
### **Summary Table**
| Blank | Correct Answer |
|-------|----------------|
| 1 | low |
| 2 | low |
| 3 | low |
| 4 | low |
| 5 | low |
---
**Thus, both firms will price low as their dominant strategy.**
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Suppose that Vitablend snd Biend Magic are the only two firms in 3 hypothetical market that produce and sell personal blenders. The following payoff
matrix gives profit scenarios for each company (in millions of dollars), depending on whether It chooses to set a high or low price for blenders.
Blend Magic Pricing
Hon Low
Hon 1 ss
Vitablend Pricing
ow ms mn
For example, the lower-left cel shows that if Vitablend prices low and Blend Magic pices high, Vitablend will sam a profit of $18 milion, and lend
Magic wil earn a profit of $6 millon. Assume this is a simultaneous game and that Vitablend and Blend Magic are both profit-maximizing firms.
1 Vitablend prices high, Blend Magic wil make more profit if it chooses a price, and if Vitablend prices low, Blend Magic will make more:
profi if t chooses a price.
If Blend Magic prices high, Vitablend wil make more profit if it chooses price, and If Blend Magic prices low, Vitablend wil make more
profi if t chooses a price.
Considering al of the information given, pricing high wa dominant strategy for both itablend and Blend Magic