Principles of Economics (12th Edition)
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?…
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