Principles of Economics (12th Edition)
12th Edition
ISBN: 9780134078779
Author: Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher: PEARSON
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Chapter 19, Problem 6.2P
To determine
Identify the concept of voting paradox.
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Let's see whether quadratic voting can avoid the paradox of voting that arose in Table 5.3 when using 1p1v 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
Public Good
Garcia
Johnson
Lee
National defense
1st choice
3d cholce
2d cholce
Road
2d cholce
1st choice
3d cholce
Weather warning system
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.…
In a congressional district somewhere in the U.S., a new representative is being elected. The voters all have one-dimensional political views that can be neatly arrayed on a left-right spectrum. We can define the ”location” of a citizen’s political views in the following way. The citizen with the most extreme left-wing views is said to be at point 0 and the citizen with the most extreme right-wing views is said to be at point 1. If a citizen has views that are to the right of the views of the fraction x of the state’s population, that citizen’s views are said to be located at point x. There are two candidates for the congressional seat and they are forced to publicly state their own political position simultaneously on the zero-one left-right scale.
1.a Suppose voters always vote for the candidate whose stated position is nearest to their own views and suppose each candidate cares only about getting as many votes as possible.
In equilibrium, what will be the two candidates’ positions?…
Please help me with this question ASAP
Chapter 19 Solutions
Principles of Economics (12th Edition)
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- 4arrow_forwardSuppose that Katie and Kelly each expect to receive $500 worth of marginal benefits from a proposed new recreation center, whereas Kerry expects to receive only $100 worth. If the proposed tax levied on each for the center would be $450, a majority vote will Multiple Choice pass this project. defeat this project and resources will be underallocated to it. defeat this project. pass this project and resources will be efficiently allocated to it.arrow_forwardwith largest remall 6. In Table 13.15, we again show the same results from the Oslo district in the 2005 Norwegian elections. Answer the following questions. As before, you should ignore the "others" category. a. Copy Table 13.15. Imagine that the seventeen seats in Oslo are to be allocated according to the d'Hondt divisor method. Show the different quotients that are calculated when you divide each party's vote total by the d'Hondt divisors in your table. How many seats does each party obtain? b. Now repeat the process using the Sainte-Laguë divisor method and then the modified Sainte-Laguë divisor method. Note that you will need to change the integers used to estimate the quotients. How many seats does each party obtain under these divisor systems? c. Are there any differences if you examine the seat allocations from the two quota systems and the three divisor systems? Does one method produce a more proportional or fairer outcome in your opinion than another? TABLE 13.15 Legislative…arrow_forward
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