y be spent on purchasing votes (i.e., any ional defense? How many for the road? Place those values into the appropriate blanks in the table below and then do the same for blanks for Johnson and Lee. Assume there are no additional costs beyond the cost of purchasing votes and that votes must be chased in whole numbers. tructions: Enter your answers as a whole number. Number of Votes Purchased by Each Voter for the Listed Public Projects Public Good Garcia Johnson Lee ational defense 12 pad 17 eather warning system cross all three voters, how many votes are there in favor of national defense? The road? The weather warning system? Votes for national defense: Votes for road: "otes for weather warning system: a paired-choice vote is taken of national defense versus the road, which one wins? Click to select) v a paired-choice vote is taken of the road versus the weather warning system, which one wins?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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### Educational Exercise: Quadratic Voting System

**Scenario:**

Assume that voting will be done using a quadratic voting system and that Garcia, Johnson, and Lee are each given $500 that can only be spent on purchasing votes (i.e., any unspent money has to be returned). 

- **Objective:** Determine how many votes each individual will purchase to support different public goods, specifically for national defense and the road. Fill in their votes in the table and answer the questions based on the data.

**Table: Number of Votes Purchased by Each Voter for the Listed Public Projects**

| Public Good                | Garcia | Johnson | Lee |
|----------------------------|--------|---------|-----|
| National defense           |        |         | 12  |
| Road                       |        | 17      |     |
| Weather warning system     |        | 0       |     |

**Instructions:** Enter your answers as a whole number.

**Questions:**

b. Across all three voters, how many votes are there in favor of each public good?

- **Votes for national defense:** 
- **Votes for road:** 
- **Votes for weather warning system:** 

c. If a paired-choice vote is taken of national defense versus the road, which one wins?

- (Click to select)

d. If a paired-choice vote is taken of the road versus the weather warning system, which one wins?

- (Click to select)

e. If a paired-choice vote is taken of national defense versus the weather warning system, which one wins?

- (Click to select)

**Diagram Explanation:**

The diagram above is a table that outlines the distribution of votes among the three voters. Each voter allocates votes to different public goods, indicating their preference based on a quadratic voting system. The task is to fill in the missing vote quantities for Garcia and interpret the outcomes of different voting pairs.
Transcribed Image Text:### Educational Exercise: Quadratic Voting System **Scenario:** Assume that voting will be done using a quadratic voting system and that Garcia, Johnson, and Lee are each given $500 that can only be spent on purchasing votes (i.e., any unspent money has to be returned). - **Objective:** Determine how many votes each individual will purchase to support different public goods, specifically for national defense and the road. Fill in their votes in the table and answer the questions based on the data. **Table: Number of Votes Purchased by Each Voter for the Listed Public Projects** | Public Good | Garcia | Johnson | Lee | |----------------------------|--------|---------|-----| | National defense | | | 12 | | Road | | 17 | | | Weather warning system | | 0 | | **Instructions:** Enter your answers as a whole number. **Questions:** b. Across all three voters, how many votes are there in favor of each public good? - **Votes for national defense:** - **Votes for road:** - **Votes for weather warning system:** c. If a paired-choice vote is taken of national defense versus the road, which one wins? - (Click to select) d. If a paired-choice vote is taken of the road versus the weather warning system, which one wins? - (Click to select) e. If a paired-choice vote is taken of national defense versus the weather warning system, which one wins? - (Click to select) **Diagram Explanation:** The diagram above is a table that outlines the distribution of votes among the three voters. Each voter allocates votes to different public goods, indicating their preference based on a quadratic voting system. The task is to fill in the missing vote quantities for Garcia and interpret the outcomes of different voting pairs.
The document explores the paradox of voting using quadratic voting, detailed in Table 5.3. It reexamines preferences and willing spending on public goods: national defense, roads, and a weather warning system by Garcia, Johnson, and Lee.

**Table 5.3: Paradox of Voting**

**Preferences:**
- **Garcia:**
  - National defense: 1st choice
  - Road: 2nd choice
  - Weather warning system: 3rd choice
- **Johnson:**
  - National defense: 3rd choice
  - Road: 1st choice
  - Weather warning system: 2nd choice
- **Lee:**
  - National defense: 2nd choice
  - Road: 3rd choice
  - Weather warning system: 1st choice

**Voting Outcomes:**
1. National defense vs. road: Winner - National defense (preferred by Garcia and Lee)
2. Road vs. weather warning system: Winner - Road (preferred by Garcia and Johnson)
3. National defense vs. weather warning system: Winner - Weather warning system (preferred by Johnson and Lee)

**Individual Voter Willingness to Pay for the Listed Public Projects:**

| Public Good               | Garcia | Johnson | Lee  |
|---------------------------|--------|---------|------|
| National defense          | $400   | $50     | $150 |
| Road                      | $100   | $300    | $100 |
| Weather warning system    | $0     | $150    | $250 |

**Exercise:**

Assume voting will occur using a quadratic voting system. Each participant, Garcia, Johnson, and Lee, is given $500 for purchasing votes. Unspent money must be returned.

- **Questions:**
  - How many votes will Garcia purchase for national defense?
  - How many for the road?
- Enter the number of votes purchased as whole numbers in the blanks provided for Johnson and Lee as well.

**Instructions: Enter your answers as a whole number.**
Transcribed Image Text:The document explores the paradox of voting using quadratic voting, detailed in Table 5.3. It reexamines preferences and willing spending on public goods: national defense, roads, and a weather warning system by Garcia, Johnson, and Lee. **Table 5.3: Paradox of Voting** **Preferences:** - **Garcia:** - National defense: 1st choice - Road: 2nd choice - Weather warning system: 3rd choice - **Johnson:** - National defense: 3rd choice - Road: 1st choice - Weather warning system: 2nd choice - **Lee:** - National defense: 2nd choice - Road: 3rd choice - Weather warning system: 1st choice **Voting Outcomes:** 1. National defense vs. road: Winner - National defense (preferred by Garcia and Lee) 2. Road vs. weather warning system: Winner - Road (preferred by Garcia and Johnson) 3. National defense vs. weather warning system: Winner - Weather warning system (preferred by Johnson and Lee) **Individual Voter Willingness to Pay for the Listed Public Projects:** | Public Good | Garcia | Johnson | Lee | |---------------------------|--------|---------|------| | National defense | $400 | $50 | $150 | | Road | $100 | $300 | $100 | | Weather warning system | $0 | $150 | $250 | **Exercise:** Assume voting will occur using a quadratic voting system. Each participant, Garcia, Johnson, and Lee, is given $500 for purchasing votes. Unspent money must be returned. - **Questions:** - How many votes will Garcia purchase for national defense? - How many for the road? - Enter the number of votes purchased as whole numbers in the blanks provided for Johnson and Lee as well. **Instructions: Enter your answers as a whole number.**
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