Elimination of Candidates

There are several ways to eliminate candidates. We can do it one at a time by eliminating the lowest vote getter at each stage. Or, we can do it all at once by eliminating all but the top two vote getters. Good arguments can be made for each method, but we'll stick to the second one for now. This is the way many places run their primary elections.

These methods are often called run-off or elimination methods. In practice they can be done by holding multiple rounds of elections where voters still get to vote for only one candidate at a time. We can use our table of preferences to figure out how these elections would come out round by round. 

Let's see how this would work with our  previous example.