CSC107 - Lab 2
Voting Theory
Assigned Jan 25th
Due Jan 29th Beginning of Class
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.
| Name | Position |
|---|
| Amy | 7 |
| Brad | 5 |
| Charles | 2 |
| Donna | 1 |
| Ernie | 4 |
| Florence | 8 |
| Geoff | 5 |
| Heidi | 2 |
| Irving | 2 |
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.
| Count | First | Second | Third |
|---|
| 6 | Barney | Fred | Wilma |
| 12 | Barney | Wilma | Fred |
| 21 | Wilma | Fred | Barney |
| 7 | Fred | Wilma | Barney |
Who would win the
election under the Borda Count method?
Question 4
Who would win the election under the Instant Runoff Method?
© Mark Goadrich 2010, Centenary College of Louisiana