Due to an influx of commuter students, there are many more cars on campus than parking spaces. There are two proposals to solve this problem:

Proposal 1: Increase the price of student parking permits by $50.

Proposal 2: Build a new parking garage.

An election is conducted where students can vote on these two proposals. Both proposals appear on the ballot. Each voter must register of a vote of either yes (Y) or no (N) on each proposal. A proposal will pass if a majority of voters vote yes on the proposal.

Consider three voters: Ann, Bob and Carla with the following preferences over the outcomes of the vote (we write V1 /V2 to mean V1 is the vote for proposal 1 and V2 is a voter for proposal 2, so, for example,Y/N means a vote of yes on proposal 1 and no on proposal 2):

Rank	Ann	Bob	Carla
1	Y/N	N/Y	N/N
2	N/Y	Y/Y	N/Y
3	Y/Y	Y/N	Y/N
4	N/N	N/N	Y/Y

Q1.1

Give a reasonable explanation for each of the voters preferences. That, explain intuitively what views or beliefs might motivate the voters to form their preferences.

Q1.2

If Ann, Bob and Carla are the only people who show up to vote. Assuming that they vote according to their preferences, what is the outcome of the referendum?

1:Both proposals are approved.

2: Proposal 1 is approved, and Proposal 2 is not approved.

3: Proposal 1 is not approved, and Proposal 2 is approved.

4:Neither of the proposals is approved.

Q1.3

Suppose that each of Ann and Bob recruits 100 of their friends to vote exactly the same way that they did (so, 101 people vote the same as Ann and 101 people vote the same as Bob). Would the addition of the 200 additional voters change the outcome of the election?

1. Yes, the new voters will result in a different outcome. The different outcome is:

2. No, the outcome of the election will not change.

Answer rating: 100% (QA)

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