Let's see whether quadratic voting can avoid the paradox of voting that arose in Table 5.3 when using iptv in a series of paired choice majority votes. To reexamine this situation using quadratic voting, the table below presents the maximum willingness to pay of Garcia. Johnson, and Lee for each of the three public goods. Notice that each person's numbers for willingness to pay match her or his ordering of preferences (1st choice, 2nd choice, 3rd choice) presented in Table 5.3. Thus, Garcia is willing to spend more on her first choice of national defense ($400) than on her second choice of a road ($100) or her third choice of a weather warning system ($0). TABLE 5.3 Paradox of Voting Preferences Pubile Good Garcia Johnson Lee National defense 1st choice 3d choice 2d choice Road 2d choice 1st choice 3d choice Weather warning wstem 3d choice 2d choice 1st choice Election Voting Outcomes Winner 1 National defense vs road National defense preferred by Garcia and Lee 2. Road vs. weather warning system Road (proferred by Garcia and Johnson 3. National defense vs weather warning systom Weather warning system referred by Johnson and Loe 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 150 250 a. 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 (ie, any unspent money has to be returned). How many votes will Garcia purchase to support national defense? How many for the road? Place those values into the appropriate blanks in the table below and then do the same for the blanks for Johnson and Lee. Assume there are no additional costs beyond the cost of purchasing votes and that votes must be purchased in whole numbers. Instructions: Enter your answers as a whole number Number of Votes Purchased by Each Voter for the Listed Public Projects Public Good Johnson National defense Road 17 weather warning system Garcia Lee 12 b. Across all three voters, how many votes are there in favor of national defense? The road? The weather warning system? 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 b. Across 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: Votes for weather warning system: c. If a paired-choice vote is taken of national defense versus the road, which one wins? National defense d. If a paired-choice vote is taken of the road versus the weather warning system, which one wins? Road e. If a paired-choice vote is taken of national defense versus the weather warning system, which one wins? Let's see whether quadratic voting can avoid the paradox of voting that arose in Table 5.3 when using iptv in a series of paired choice majority votes. To reexamine this situation using quadratic voting, the table below presents the maximum willingness to pay of Garcia. Johnson, and Lee for each of the three public goods. Notice that each person's numbers for willingness to pay match her or his ordering of preferences (1st choice, 2nd choice, 3rd choice) presented in Table 5.3. Thus, Garcia is willing to spend more on her first choice of national defense ($400) than on her second choice of a road ($100) or her third choice of a weather warning system ($0). TABLE 5.3 Paradox of Voting Preferences Pubile Good Garcia Johnson Lee National defense 1st choice 3d choice 2d choice Road 2d choice 1st choice 3d choice Weather warning wstem 3d choice 2d choice 1st choice Election Voting Outcomes Winner 1 National defense vs road National defense preferred by Garcia and Lee 2. Road vs. weather warning system Road (proferred by Garcia and Johnson 3. National defense vs weather warning systom Weather warning system referred by Johnson and Loe 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 150 250 a. 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 (ie, any unspent money has to be returned). How many votes will Garcia purchase to support national defense? How many for the road? Place those values into the appropriate blanks in the table below and then do the same for the blanks for Johnson and Lee. Assume there are no additional costs beyond the cost of purchasing votes and that votes must be purchased in whole numbers. Instructions: Enter your answers as a whole number Number of Votes Purchased by Each Voter for the Listed Public Projects Public Good Johnson National defense Road 17 weather warning system Garcia Lee 12 b. Across all three voters, how many votes are there in favor of national defense? The road? The weather warning system? 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 b. Across 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: Votes for weather warning system: c. If a paired-choice vote is taken of national defense versus the road, which one wins? National defense d. If a paired-choice vote is taken of the road versus the weather warning system, which one wins? Road e. If a paired-choice vote is taken of national defense versus the weather warning system, which one wins
