Question

Given the following table representing net benefits for three possible municipal projects that are heading to a vote:

Voter/Project Dirk Lindsay Megan Total net benefits
Dog park 5 -200 190 -5
Theater -50 160 -90 20
Soccer field 200 -90 -80 30


If logrolling is allowed then which vote trading scenario can lead to only the "right" projects being completed and the "wrong" projects not being completed?
O Megan will vote for the Soccer Field if Lindsay votes for the Theater
O Dirk will vote for the Dog Park and against the Theater if Lindsay votes for the Soccer Field.
O Dirk will vote for the Dog Park if Lindsay votes for the Soccer Field.
O Lindsay will vote for the Theater and the Soccer Field if Dirk votes for the Dog Park and Megan votes for the Dog Park.

Answer 1

If logrolling is allowed, Megan voting for the Soccer Field if Lindsay votes for the Theater can lead to only the 'right' projects being completed.

Step-by-step explanation:

In the given scenario, the logrolling scenario that can lead to only the 'right' projects being completed and the 'wrong' projects not being completed is when Megan will vote for the Soccer Field if Lindsay votes for the Theater. This is because Megan has a positive net benefit for the Soccer Field while Lindsay has a negative net benefit, and their votes will cancel each other out for the Theater project. Therefore, if this logrolling scenario occurs, only the Soccer Field project will be completed.