CSC107 - Lab 5
Voting Theory

Assigned Jan 22
Due Jan 25th 4pm


Show your work on all questions for full credit.

References

Voting Theory

Question 1

9 voters in a district have to choose between two candidates on the issue of Haircuts. The voters are distributed on a continuum from 1 - 9, where 1 means they want everyone to be bald, and 9 means no haircuts ever.

NamePosition
Amy7
Brad5
Charles2
Donna1
Ernie4
Florence8
Geoff5
Heidi2
Irving2

Two candidates have chosen to campaign on different platforms to be elected. Candidate A chooses position 2 and candidate B chooses position 5. Who wins this election and why?

Question 2

What if candidate A changed their position to 4. How would this affect the outcome?

Question 3

For the next two questions, you are given the following set of voting preferences, where the number of people having this exact preference is listed in the first column.

CountFirstSecondThird
6BarneyFredWilma
12BarneyWilmaFred
21WilmaFredBarney
7FredWilmaBarney

Who would win the election under the Borda Count method?

Question 4

Who would win the election under the Instant Runoff Method?

Question 5

Do Exercise 1 in Chapter 23 of Networks, Crowds and Markets.

Question 6

Do Exercise 2 in Chapter 23 of Networks, Crowds and Markets.
© Mark Goadrich 2012, Centenary College of Louisiana