This is what would happen with #RankedChoiceVoting, also known as #InstantRunoffVoting, except it would save a lot of time and money.
We see that, though Burns was the top vote-getter, most people who voted against him would, if their top-choice candidate didn't make the top two, rather someone else other than Burns get the vote.
People are scared of Ranked Choice Voting "stealing the vote", but I think we'd get more acceptance if it's called #AutomaticRunoffVoting.