Give step-by-step solution with explanation and final answer:
1. (2 points) Consider two cases of bank robbery. One occurs in the central core of a large city, where there are many banks and pedestrians. Another occurs in a very isolated town with only one bank, few other businesses, and a small resident population. Assume that both banks have the same cash on hand so that the benefits of the crime (to the offenders) are similar. From a total social cost perspective, how do the costs of the two crimes differ? In which case is it likely that more enforcement effort is warranted based on cost - benefit analysis? Explain your answer.
Question:
Give step-by-step solution with explanation and final answer:
1. (2 points) Consider two cases of bank robbery. One occurs in the central core of a large city, where there are many banks and pedestrians. Another occurs in a very isolated town with only one bank, few other businesses, and a small resident population. Assume that both banks have the same cash on hand so that the benefits of the crime (to the offenders) are similar. From a total social cost perspective, how do the costs of the two crimes differ? In which case is it likely that more enforcement effort is warranted based on cost - benefit analysis? Explain your answer.
This is AI generated Response.
Asked by: mayank
Created at: 2025-09-08 04:56:25
Final Answer:
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Let's break down the problem step-by-step:
### **Step 1: Understanding the Scenario**
- **Case 1:** Bank robbery in a large city (many banks, many pedestrians, dense population).
- **Case 2:** Bank robbery in a small, isolated town (one bank, few businesses, small population).
- **Assumption:** Both banks have the same amount of cash, so the **benefit to the offenders** is the same in both cases.
- **Question:** From a **total social cost** perspective, how do the costs differ? Where is more enforcement effort justified?
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### **Step 2: What is “Total Social Cost”?**
**Total social cost** of a crime includes:
- **Direct losses:** Money stolen, property damage, injuries, etc.
- **Indirect costs:** Psychological impact, increased fear, higher insurance premiums, reduced property values, lost business, etc.
- **Enforcement costs:** Police, investigation, judicial system, etc.
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### **Step 3: Analyze Social Cost in Each Case**
#### **A. Large City Bank Robbery:**
- **Direct Loss:** The same (cash stolen).
- **Indirect Costs:** Lower per bank. Many banks and businesses mean:
- The loss is "spread out"—there are alternative banks.
- Residents and businesses have other options.
- The temporary closure or loss of one bank is less disruptive.
- **Symbolic Impact:** Lower, since robberies may be more common and less shocking.
- **Community Impact:** Lower, due to a larger, less personally connected population.
#### **B. Small Town Bank Robbery:**
- **Direct Loss:** The same (cash stolen).
- **Indirect Costs:** Much higher:
- **Only bank in town:** Residents and businesses have no alternative for banking—greater disruption.
- **Greater psychological impact:** Small, close-knit community; crime may cause more fear and distrust.
- **Economic impact:** Businesses may have to travel far for banking, local commerce could suffer.
- **Longer recovery:** It may take longer to reopen or replace the bank.
- **Symbolic Impact:** Higher; may damage town’s reputation, decrease property values, and deter investment.
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### **Step 4: Enforcement Effort Decision**
**Cost-Benefit Analysis:**
- **Enforcement is justified where the marginal benefit (reduction in social cost of crime) exceeds the marginal cost of enforcement.**
- In the **small town**, because the **social cost** of a bank robbery is much higher than in a big city, the **marginal benefit of enforcement is greater**.
- Therefore, **more enforcement effort is warranted in the small town**, even if the cost is somewhat higher, because the potential harm from a robbery is much greater.
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### **Final Answer (Direct Response):**
> The **total social cost** of the bank robbery is higher in the small, isolated town because the robbery causes greater disruption: it deprives residents and businesses of their only banking facility, creates more psychological harm in a close-knit community, and can have a more significant negative economic impact. In contrast, in a large city, the loss is less disruptive because there are many alternative banks and a larger, less personally connected population.
>
> Therefore, **more enforcement effort is warranted in the small town**, since the social cost of a robbery there is higher. Investing in prevention or enforcement yields greater social benefits in the small town compared to the large city, given the same direct losses from the crime.
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#### **Summary Table:**
| Factor | Large City | Small Town |
|-----------------------|------------------------|----------------------------|
| Direct Loss | Same | Same |
| Indirect/Social Cost | Lower | Higher |
| Disruption | Minor | Major |
| Psychological Impact | Less | More |
| Enforcement Needed | Less | More |
**Conclusion:**
**More enforcement effort is warranted in the small town, based on total social cost and cost-benefit analysis.**
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