The vote tally of ranked ballots for a slate of four candidates is as follows: Is there a Condorcet winner?

Question

The vote tally of ranked ballots for a slate of four candidates is as follows:  Is there a Condorcet winner?

Quizplus · Accepted Answer

A Condorcet winner is a candidate who would win in a head-to-head matchup against every other candidate. In this case, we can see that candidate A is preferred over B by 38 to 36, but B is preferred over C by 42 to 32, and C is preferred over D by 40 to 34. However, D is also preferred over A by 39 to 35. This shows that there is no candidate who would beat every other candidate in a head-to-head matchup, so there is no Condorcet winner.

The Vote Tally of Ranked Ballots for a Slate of Four