The condorcet winner criterion is a way of deciding who should win when there are many candidates in an election. It says that if there is one candidate who would beat all the others in a one-on-one matchup, then that person should be the winner of the election.
For example, let's say there are three candidates: Alice, Bob, and Charlie. If Alice would beat Bob in a one-on-one matchup, and Alice would also beat Charlie in a one-on-one matchup, then Alice should be the winner because she would beat everyone in the election.
This method can help prevent situations where the winner only has a small amount of support from the voters, but wins because the other candidates split the rest of the votes evenly. By making sure the winner would beat all the others in a one-on-one matchup, it ensures that the winner has the most overall support from the voters.