Q Problem 4TLet G be the number of hours of police patrolling in a community. Consider three individuals withGG²2the following preferences: UA ; UB = 2 — G¹/4; Uc = G=2a. If the government is choosing G from the range 0 ≤ G ≤ 2, what is the majority votingoutcome? What theorem has been used?G²b. If C's preference changes to Uc=G, how does your answer to part (a) change?2

Problem 4 Let G be the number of hours of police patrolling in a community. Consider three individuals with G² the following preferences: U₁ = ²; U = 2 – G¹/4; Uc = G – ² 2 a. If the government is choosing G from the range 0 ≤G ≤ 2, what is the majority voting outcome? What theorem has been used? G² b. If C's preference changes to Uc - G, how does your answer to part (a) change? 2

Problem 4 Let G be the number of hours of police patrolling in a community. Consider three individuals with G² the following preferences: U₁ = ²; U = 2 – G¹/4; Uc = G – ² 2 a. If the government is choosing G from the range 0 ≤G ≤ 2, what is the majority voting outcome? What theorem has been used? G² b. If C's preference changes to Uc - G, how does your answer to part (a) change? 2

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter19: Externalities And Public Goods

Section: Chapter Questions

Problem 19.10P

See similar textbooks

Related questions

Q: A group of 10 people have the following annual incomes: $55,000, $30,000, $15,000, $20,000, $35,000,…

A: Based on a nation's total income levels, the definition of poverty might vary; often, it is…

Q: What are the two common things in the forecast of the product sale?

A: The forecasting of product sale is the process of estimation of future sale of a particular product.…

Q: The owners of a small manufacturing concern have hired a vice president to run the company with…

A: Dear Student, as you have posted multiple sub-parts in a question but according to the policies and…

Q: what is mode of entry meaning?

A: Mode of entry refers to different channels through which a business can enter the international…

Q: What is the lower present value product?

A: The present value is the current worth of a stream of future cashflows given a certain return rate.…

Q: Explain Grant

A: Grant: It is a sum of money that is being paid to an individual or an institution by any government…

Q: (Figure 1.9) The slope of the line between points L and M is: Multiple Choice O O O 0.67. 1.20.…

A: In economics, the term "slope" generally refers to the gradient or incline of a linear relationship…

Q: which 2 tools/concepts wil help to become better manager/decision maker

A: : SWOT Analysis and Decision-Making Models.1. SWOT Analysis:SWOT Analysis is a fundamental strategic…

Q: True/False Personal income include personal taxes

A: Income includes the wages, salaries, dividends, transfer earnings etc, that is, anything that is a…

Q: For credit card accounts, the interest rate is normally expressed as the Annual Percentage Rate.…

A: A credit card refers to a rectangular piece of plastic which is issues by a bank or a financial…

Q: f minorio report reading.

A: Answer summary of minority report reading: The Minority Report" tells the interesting story of John…

Q: You work for the Committee for Economic Evaluation in the small nation of Kinsdale. Your current job…

A: GDP is the gross domestic product. GDP is defined as the monetary value of all the goods and…

Q: Personal income includes income received in the form of transfer payments True False

A: Personal income refers to all the earnings made by an individual or all individuals collectively in…

Concept explainers

Comparative Advantage and Absolute Advantage Analysis

The theory of absolute advantage was given by Adam Smith in the year 1776.

Question

Problem 4T
Let G be the number of hours of police patrolling in a community. Consider three individuals with
G
G²2
the following preferences: UA ; UB = 2 — G¹/4; Uc = G
=
2
a. If the government is choosing G from the range 0 ≤ G ≤ 2, what is the majority voting
outcome? What theorem has been used?
G²
b. If C's preference changes to Uc
=
G, how does your answer to part (a) change?
2

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.

Similar questions

1.17. Jones and Smith are running for public office. There are 99 voters.(a) Suppose the rules say that Jones wins if she receives 50 or morevotes; otherwise Smith wins. Is this method neutral?(b) Suppose the rules say that a candidate wins if he or she receivesa number of votes that is between 60 and 89. (If neither candidategets a winning number of votes, then the election is a tie.) Is thismethod monotone?(c) Suppose the rules say that a candidate wins if he or she receives anodd number of votes. (If neither candidate gets a winning numberof votes, then the election is a tie.) Is this method decisive?(d) Suppose that the rules say that Smith wins the election no matterwhat. Is this method anonymous?
4.1. The vote-for-two method works as follows: Candidates get apoint whenever a voter ranks them first or second. The candidate withthe most points is declared to be the winner (or if several candidates tiefor the most points, they are all declared to be winners).(a) Does the vote-for-two method satisfy the Condorcet criterion?(b) Does the vote-for-two method satisfy the anti-Condorcet criterion?(c) Does the vote-for-two method satisfy the Pareto property?(d) Is the vote-for-two method independent?
Consider five people (named 1, 2, 3, 4, and 5) with the preference rankings over four projects A, B, C, and D. rank 2 3 4 I В A C A II с D B св III D C D B C IV A B A D A How many of the voters have single-peaked preferences?
No AI and plss I beg
urgent 1.15. Consider the Supreme Court as an electorate of 9 members thatvotes yes-or-no on a variety of issues. It is customary for this electorateto use the simple majority method, and since 9 is an odd number, no tiescan result when no justices are absent. Imagine the following alternativemethod for determining Supreme Court decisions. The decision is affirmative whenever at least 3 of the first 5 justices vote to affirm. Otherwisethe decision is negative. This is just the bloc voting method, where thejustices form blocs of size 5, 1, 1, 1, and 1. (This method emulates whatwould occur if the first 5 justices were to agree to always vote as a blocand to decide among themselves how the bloc should rule.)(a) Is this method anonymous?(b) Is this method neutral?(c) Is this method monotone?(d) If you were one of the 4 justices not among the first 5, why wouldyou complain about this voting method?
There are two candidates in an election that compete only on the education budget they will enact if elected. The budget can be any integer from $1 to $8 and the distribution of voters’ preferences over these outcomes is given below. For example, there are 2 voters that prefer a budget of $1, 4 voters that prefer a budget of $2, and so on. Furthermore, all voters have single-peaked preferences. Assume the candidates’ sole objective is to receive as many votes as possible. (Image Attached) a) Find a proposed budget for each candidate that constitutes an equilibrium. Explain.
All societies must take decisions on collective resources should be allo- cated. In democratic societies such decisions are often taken by majority voting, as a matter of fact democracy is often associated with majority voting. However, it has for a long time been known that this way of taking collective decisions is associated with certain problems. (a) Assume that a small city should decide whether they should build a new public library (x), a new public swimming pool (y), or improving the street lightning along the city's main street (z). Only one of these alternative can be started during the next budget year. The city population can be divided into three equally large groups, the members of each group has the following preference ordering for these alternatives: 1:x > y > z, 2: y > z> x, 3:z > x> y.
Match the following according to the criterion. If a candidate receives [ Choose ] more than half the first- place votes in an election, then that candidate should be declared the winner. If a candidate is favored [ Choose ] when compared separately with every other candidate in an election, then that candidate should be declared the winner. If a candidate wins an [ Choose] election and, in a reelection, the only changes are changes that favor the candidate, then that candidate should win the reelection. If a candidate wins an [ Choose ] election and, in a recount, the only changes are that one or more of the other candidates are removed from the ballot, then that candidate should still win the election.
3.17. Consider the social choice function that selects as a winner thecandidate (or candidates) with the most second-place votes.(a) Show that this method violates monotonicity.(b) Show that this method violates the Pareto criterion.(c) Show that this method is anonymous and neutral.
Answer it correctly. Explain well. I ll rate accordingly with multiple votes. Typed answer only.
part C and D
part G H I 4.7. The instant recall method works as follows. If there is a candidatewith the majority of the first-place votes, that candidate is declaredthe unique winner. Otherwise, the candidate with the plurality of thefirst-place votes is eliminated from the slate and the process is repeatedamong the remaining candidates. (Ignore the possibility that there maybe a tie for plurality winner.) The method is inspired by the recall elections that are permitted for California gubernatorial elections, which ineffect leave a system where plurality winners lacking majority supportare recallable, and so the ultimate holder of the governor’s office, if theelectorate so chooses, is the first candidate able to withstand a recall(the first candidate to have majority support) after prior plurality winners are eliminated (i.e., recalled). Arnold Schwarzenegger took office inCalifornia via a recall election.(a) Does instant recall satisfy anonymity?(b) Does instant recall satisfy neutrality?(c)…