# 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

### Save your time - order a paper!

Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlines

Order Paper Now
 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