Several communities have been chosen as finalists
for a teen recreation center. The center is seen as a benefit
to the community as a way to keep teens out of trouble, a financial
benefit, and as a draw for other enterprises to the community.
The possible locations for the center were recently voted
on by three communities and the following preference schedules
were produced:
| Center City | Fair City | Middleton |
| Fair City | Middleton | Center City |
| Middleton | Center City | Fair City |
| 10,500 votes | 12,300 votes | 15,000 votes |
1) Based on these results, choose two voting
methods (approval, Borda, runoff, etc.) to decide on where the
recreation center should be built. Justify your reasoning.
2) Use Arrow's Criteria to examine the fairness
of the results and to examine the methods you used to determine
the winner.
3) How would the results be different if the
premise was that the cities did NOT want the recreation center?
How would this affect the fairness?