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Imagine we want to build a new space port at one of four recently settled Martian bases, and are holding a vote to determine its location. Of the hundred colonists on Mars, 42 live on West Base, 26 on North Base, 15 on South Base, and 17 on East Base. For our purposes, lets assume that everyone prefers the space port to be as close to their base as possible, and will vote ingly. What is the fairest way to conduct that vote? The most straightforward solution would be to just let each individual cast a single ballot, and choose the location with the most votes. This is known as plurality voting, or first past the post. In this case, West Base wins easily, since it has more residents than any other. And yet, most colonists would consider this the worst result, given how far it is from everyone else. So is plurality vote really the fairest method? What if we tried a system like instant runoff voting, which accounts for the full range of peoples preferences rather than jus
