If there are an odd number of voters, there is always a Condorcet winner.

Question

Quizplus · Accepted Answer

A Condorcet winner is a candidate who would beat every other candidate in a head-to-head competition. The existence of a Condorcet winner does not depend on the number of voters being odd or even; it depends on the voters' preferences. It is possible for preferences to be cyclic (e.g., A > B, B > C, C > A) with any number of voters, preventing a Condorcet winner from existing.

If There Are an Odd Number of Voters, There Is