Selected topics in finite mathematics/Voting/Condorcet method

Objectives
Placing each candidate against the other candidates one at a time to determine who wins all of their one on one competitions.

Details
Condorcet method: a method of analyzing elections which declares the winner to be the individual/candidate that would win when placed against all the other candidates in a two-person election, meaning to compare one candidates votes and the other candidates votes to see who has the most. Once a candidate is seen to have defeated each and every candidate in a one on one competition, then that candidate is declared the winner.

However, the method only works if one candidate wins every one on one competition with all the other candidates. If a candidate even loses one on one competition then that person is not qualified to win according to Condorcet's method.