Rasmussen College Module 3 Voting and Game Theory Mathematic Assignment This is what assignment is but I will it on a spreadsheet for easier reading:
For this module’s assignment review the following.
A
group of students were asked to vote on their favorite horror films.
The candidate films are: Abraham Lincoln Vampire Hunter, The Babadook,
Cabin Fever, and Dead Snow (A, B, C, D for short). The following table
gives the preference schedule for the election.
How many students voted? How many first place votes are needed for a majority?
Use the plurality method to find the winner of the election.
Use the Borda count method to find the winner of the election.
Use the plurality-with-elimination method to find the winner of the election.
Use the pairwise-comparisons method to find the winner of the election.
Three
players (April, Brandy and Cindy) are sharing a cake. Suppose that the
cake is divided into three slices (s1, s2, s3). The following table
gives the value of each slice in the eyes of each of the players. (A
fair share would be 1/3 = 0.333 = 33.3% or greater.)
hree players
(Adam, Bob and Chad) are sharing a cake. Suppose that the cake is
divided into three slices (s1, s2, s3). The percentages represent the
value of the slice as a percent of the value of the entire cake. (A fair
share would be 1/3 = 0.333 = 33.3% or greater.) For this module’s assignment review the following.
A group of students were asked to vote on their favorite horror films. The candidate films are: Abraham
Lincoln Vampire Hunter, The Babadook, Cabin Fever, and Dead Snow (A, B, C, D for short). The
following table gives the preference schedule for the election.
Number of Voters
1st Choice
2nd Choice
3rd Choice
4th Choice
1. How many students voted? How many first place votes are needed for a majority?
2. Use the plurality method to find the winner of the election.
3. Use the Borda count method to find the winner of the election.
4. Use the plurality-with-elimination method to find the winner of the election.
5. Use the pairwise-comparisons method to find the winner of the election.
6. Three players (April, Brandy and Cindy) are sharing a cake. Suppose that the cake is divided into three
slices (s1, s2, s3). The following table gives the value of each slice in the eyes of each of the players. (A fair
share would be 1/3 = 0.333 = 33.3% or greater.)
April
Brandy
Cindy
a. Which of the three slices are fair shares to April?
b. Which of the three slices are fair shares to Brandy?
c. Which of the three slices are fair shares to Cindy?
d. Find a fair division of cake using S1, S2, and S3 as fair shares. If this is not possible, explain why not.
Adam
Bob
Chad
a. Which of the three slices are fair shares to Adam?
b. Which of the three slices are fair shares to Bob?
c. Which of the three slices are fair shares to Chad?
d. Find the fair division of the cake, using s1, s2 and s3 as fair shares. If this is not possible, explain why not.
10
A
C
B
D
7
D
B
A
C
5
B
C
A
D
S1
$4.50
$5.50
$5.60
S2
$5.50
$5.25
$5.00
S3
$5.00
$5.00
$5.00
S1
30%
32%
30%
S2
50%
36%
35%
S2
20%
32%
35%
5
C
D
A
B
4
B
C
D
A
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