A fraternity votes to choose a service project--visiting nursing homes, reading with children in elementary schools, or cleaning up a stretch of highway. Their preference rankings are as follows: Number of Voters 3 1 4 8 2 Visiting nursing homes 1 1 2 3 2 Reading with children 2 3 1 1 3 Cleaning highway 3 2 3 2 1 Is there a Condorcet winner? If there is no Condorcet winner, is there a Weak Condorcet winner? Show the work you do in deciding, including vote totals, and state your conclusion.

A fraternity votes to choose a service project--visiting nursing homes, reading with children in elementary schools, or cleaning up a stretch of highway. Their preference rankings are as follows: Number of Voters 3 1 4 8 2 Visiting nursing homes 1 1 2 3 2 Reading with children 2 3 1 1 3 Cleaning highway 3 2 3 2 1 Is there a Condorcet winner? If there is no Condorcet winner, is there a Weak Condorcet winner? Show the work you do in deciding, including vote totals, and state your conclusion.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: A 15-person committee is having lunch catered for a meeting. Three caterers, each specializing in a…

Q: 37-41: Preference Schedules. Consider the following preference schedules: a. How many votes were…

A: Given:

Q: 28. An exit poll of 300 persons showed that candidate A received 53 % of the vote in a given…

Q: A professional organization is planning a conference and needs to choose one of the following…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub parts at a…

Q: 16. Jason wants to determine how age and gender are related to political party preference in his…

A: Two random samples of men and women are taken.

Q: Number of voters 1st Choice 2ND Choice 3rd Choice 4th Choice 17 16 8 38 B G G C C M M B C M B G NMC…

A: Given: Number of voters 17 16 8 2 First choice B G C M Second choice G C M C Third choice C…

Q: Consider the weighted voting system (30: 25, 8, 8, 5, 2}. Are there any players that are dictators,…

Q: Suppose that the pairwise comparison method is used on the following preference table. If A, C, and…

A: WE WILL USE PAIRWISE COMPARISON METHOD in this total 10 comparisons are made A vs B A vs C A vs D A…

Q: A statistics student wants to determine if a quiet room is a better study environment for students…

Q: A researcher wants to know how registered voters in her state feel about health care. She obtains a…

A: Given, Researcher wants to know how registered voters in her state feel about health care. She…

Q: QUESTION 2. ELECTION- BORDA METHOD. Let's do the exact same set of 67 preference lists, but this…

A: Here we have four choices then we can assign 1 point to the fourth choice, 2 points to the third, 3…

Q: Suppose that the Borda count method is used on the following preference table. Is the majority…

A: According to borda count we first assign Rank 1 - 3points Rank 2 - 2 points Rank 3 - 1point…

Q: 5. A communications company has developed three new designs for a cell phone. To evaluate consumer…

Q: A pollster collects following data for 350 college students. Democratic Green Independent Republican…

A: 1. The parameters are proportion of Freshmen, proportion of Sophomore, proportion of Junior, and…

Q: photos of the two main candidates in 32 races for the U.S. Senate to many subjects (dropping the…

A: According to the given information in this question We know that p^=xn where n = 32 and x = 22

Q: 2. Consider the following preference schedule for an election:

A: To find the approximate percentages using the empirical rule (also known as the 68-95-99.7 rule),…

Q: Preference 15 13 2 30 10 TLHHT The university administration has asked a group of student leaders to…

Q: Members of the board of directors of an association are voting to select a city to host their annual…

A: Borda count method : The Borda count is a set of positional voting rules that assigns each candidate…

Q: 9. Given the votes in the 2000 Florida Presidential Election and the likely voting preference list…

A: It is given that The votes in the 2000 Florida Presidential election and the likely voting…

Q: A statistics student wants to determine if a quiet room is a better study environment for students…

A: Given,

Q: Consider the following weighted voting system [13: 7, 4, 3, 3, 2, 1], what is the weight of P3?

A: Solution

Question

2. A fraternity votes to choose a service project--visiting nursing homes, reading with
children in elementary schools, or cleaning up a stretch of highway. Their preference
rankings are as follows:

Number of Voters 3 1 4 8 2
Visiting nursing homes 1 1 2 3 2
Reading with children 2 3 1 1 3
Cleaning highway 3 2 3 2 1

Is there a Condorcet winner?
If there is no Condorcet winner, is there a Weak Condorcet winner?
Show the work you do in deciding, including vote totals, and state your conclusion.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

10
A statistics student wants to determine if a quiet room is a better study environment for students than a noisy environment. 151 students were recruited for an experiment. 75 students were randomly assigned to a quiet study environment while the other 76 were assigned to a noisy environment. Students in each group were given a short booklet from which to study and then were given a brief multiple- choice test. 52 of the students who studied in the quiet study environment passed the test, compared to 43 students who were in the noisy environment. Let Pi = the true proportion of all students like these who study in a quiet environment and pass the test and P2 = the true proportion of all students like these who study in a noisy environment and pass the test. Which of the following are correct for conducting a significance test of P1 – P2? 1. Но: Р1 — Р2 — 0 II. Ha: P1 – P2 + 0 II. Both the Random and Large Counts conditions are met.
3. Given the following weighted voting system [16: 12, 7, 4], is there a player that has the veto power? If so, which player and why? Write your response below:
1. Thirteen members of a dinner committee want to decide what kind of background music will be played during a meal. Their choices are easy listening, jazz, classical, and new age. Following are their preference rankings: Number of Voters Easy Listening 1 3 1 2 2 2 1 1 1 1 1 2 2 3 4 4 Jazz 3 3 1 1 3 Classical 3 2 4 4 1 1 2 New age 4 4 4 3 3 4 1 A) What option would win using the plurality method? (Show vote totals) B) top two finishers? (Show vote totals) What option would win using the plurality method with a runoff between the C) counts. (You should say if you are using Easy Borda method). Which candidate would win using the Borda method? Show the Borda
1. Thirteen members of a dinner committee want to decide what kind of background music will be played during a meal. Their choices are easy listening, jazz, classical, and new age. Following are their preference rankings: Number of Voters 1 3 1 2 2 2 1 1 Easy Listening 1 1 1 2 2 3 4 4 Jazz 2 3 3 1 1 2 2 3 Classical 3 2 4 3 4 1 1 2 New age 4 4 2 4 3 4 3 1 A) What option would win using the plurality method? (Show vote totals) B) What option would win using the plurality method with a runoff between the top two finishers? (Show vote totals) C) Which candidate would win using the Borda method? Show the Borda counts. (You should say if you are using Easy Borda method).
2. Suppose that an employer decides to hire a new CEO using the Borda count. A panel of 35 managers, board members, and other executives rank the candidates using a preference ballot. Here is the preference schedule. 1st Place Chen Ashford Ashford 2nd Place Ashford Borge Chen 3rd Place Borge Chen Borge Voters 18 16 1 (a) Find the Borda count for each of the candidates to determine who will be hired. (b) Now forget the Borda counts and look at the number of first place votes. (c) Does any candidate have a majority of the votes? Which one? (d) Does Criterion 1 apply? Has Criterion 1 been satisfied? (e) Again, forget the Borda counts and look at the number of first place votes in pairwise comparisons. Who wins in a race between Chen and Ashford? between Chen and Borge? (f) Is there a Condorcet winner? Did the Condorcet winner win the election? (g) Does Criterion 2 apply? Has Criterion 2 been satisfied?