G180 Module 05

G180 Module 05.

G180 Module 05 Assignment

For Halloween, a group of students were asked to vote for their favorite horror movies. Their choices were Alien, The Blair Witch Project, The Conjuring, and Dreamcatcher (A, B, C, D for short). The following table gives the preference schedule for the election.

Number of Voters	17	14	12	8	7
1st Choice	C	A	B	D	B
2nd Choice	D	B	D	A	D
3rd Choice	B	C	C	C	A
4th Choice	A	D	A	B	C

1. Use the pairwise-comparisons method to find the winner of the election.

• Three players (Anna, Bill and Carol) are sharing a pizza. Suppose that the pizza 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.

Assumption, share fair 1/3 or greater

	s1	s2	s3
Anna	$5.50	$5.25	$5.00
Bill	$4.50	$5.50	$5.00
Carol	$5.60	$4.60	$5.00

1. Which of the three slices are fair shares to Anna?

• Which of the three slices are fair shares to Bill?  

• Which of the three slices are fair shares to Carol?

• Find a fair division of pizza using S₁, S₂, and S₃ as fair shares. If this is not possible, explain why not.   

• Three players (April, Beth and Clint) 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.

Assumption, share fair 1/3 or greater

	s1	s2	s3
April	30%	35%	35%
Beth	36%	32%	32%
Clint	30%	42%	28%

1. Which of the three slices are fair shares to April?

• Which of the three slices are fair shares to Beth?

• Which of the three slices are fair shares to Clint?
• Find the fair division of the cake, using s₁, s₂ and s₃ as fair shares. If this is not possible, explain why not.   

G180 Module 05

 

"If this is not the paper you were searching for, you can order your 100% plagiarism free, professional written paper now!"