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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Question
Chapter 19, Problem 6.2P
To determine
Identify the concept of voting paradox.
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Each one has ONE Senator who votes for their state and is elected only by the voters in their
own state. Each Senator's vote is equal in the voting process. There are three projects being
considered and each will only bring revenue into the one State in which it is built BUT all
three projects, if built, will be built with Taxes paid by ALL of the population of all 5 states.
District 1 is not considering a project at this time. District 2 is mostly urban and they want to
build a Football stadium to attract tourists. District 3 is not considering a project at this time.
District 4 wants to build a Space Exploration Research Center. District 5 wants to build an
airport. The relevant Benefit (positive number) and Cost (negative number) to each district
details are below:
District I
District II
District III
District IV
District V
O Regulatory Capture
Logrolling
Stadium ($)
-30
80
-30
-30
-30
The Scenario outlined above is commonly known as:
Kleptocracy
Rent Seeking
Airport ($)
-25
-25
-25…
For the simple game depicted below, choose the corresponding voting rule that it represents:
100
BLOCKING
WINNING
50
LOSING
BLOCKING
250
500
Lower House
A bill requires a 3/4 majority in both houses.
O The Constitution can be amended with 3/4 of the LH votes and 1/2 of the Senate votes
O A bill requires a majority in the LH and a majority in the Senate.
O The Constitution can be amended with 3/4 of the Senate and 1/2 of the LH votes.
Senate
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.…
Chapter 19 Solutions
Principles of Economics (12th Edition)
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- Consider the following two sets of individuals and their group preference rankings, aggregated using the same voting rule. 1: individual preferences: x>y>z>w, y>z>w>x, and z>w>x>y group preferences: x>Gy, z>Gx, w>Gx, y>Gw, y>Gz and z>Gw 2:individual preferences: y>z>x>w, y>w>x>z, and y>w>z>x group preferences: y>Gx, y>Gw, z>Gy, x>Gw, z>Gx, and z>Gw Question: Which of Arrow's conditions (P, D, I, or Transitivity) is violated by their group preferences? (hint: checking I requires comparing the outcomes in the two different groups to find a violation).arrow_forwardI need help with this one pleasearrow_forwardEx. 4 Strength Can Be Weakness A three-person committee has to choose a winner for a prize. After some debate, there are three candidates still under consideration. Let's call these candidates a, b and c, and call those committee members 1, 2 and 3. The committee members only care about which candidate wins the prize, and their preferences as follows: member 1 prefers a to b and b to c; member 2 prefers c to a and a to b; and member 3 prefers b to c and c to a. The rules of the competition say that the committee should first apply majority vote (secret ballot, one member one vote) and the candidate with the most votes wins. If the vote is tied, that is, the majority rule select a unique winning candidate, then the winner will be the candidate for whom member 1 voted. Thus, it might seem that member 1 has an advantage. (1) Write down the strategic form of this voting game. [You may assign any number to the payoff of each voter, as long as it is consistent with her preference order.] (2)…arrow_forward
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