Use the table below to determine the Borda winner. Assign the point values to each vote. Number of Votes First (4 pts) 40 25 30 18 A A D Second (3 pts) B D Third (2 pts) C D Fourth (1 pt) D C A A
Use the table below to determine the Borda winner. Assign the point values to each vote. Number of Votes First (4 pts) 40 25 30 18 A A D Second (3 pts) B D Third (2 pts) C D Fourth (1 pt) D C A A
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%

Transcribed Image Text:Head-to-Head Criterion and Borda
Answer the following questions and determine if the Borda method violates the
head-to-head criterion.
Use the table below to determine the Borda winner. Assign the point values to each vote.
Number of Votes
40
25
30
18
First (4 pts)
A
A
C
D
Second (3 pts)
B
B
D
B
Third (2 pts)
C
D
В
C
Fourth (1 pt)
D
C
A
A
1. List the total points for each candidate.
Show how you calculate each candidate's total points.
A:
B:
C:
D:
2. Under the Borda method, the candidate who wins the vote is
3. How many votes are needed to win the majority?
4. Now determine the head-to-head winner. Fill in the table below. The first column is filled
out for you as an example.
30
Winner in
40
25
18
Нead-to-Head
A vs B
A vs C
A vs D
B vs C
B vs C
C vs D
A=40
A=25
B=30
B=18
A
5. Who wins the head-to-head? How does the candidate win the head-to-head?
6. What can you say about the head-to-head criterion? Determine whether or not the Borda
method violates the head-to-head criterion.
Write your response below:
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!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

