Such ties can be broken by many rules including the Instant Runoff rule described in a page below. Critics charge that the Condorcet rule might elect politicians whose vagueness and indecision offends nobody. That might happen after a negative, polarizing campaign which leads some voters to rank their party's major rivals below unknown candidates. Obviously those critics are exasperated by indecision and afraid of the unknown, but so are many voters. A democrat must assist and then give credit to the judgements of voters.
Central leaders tend to be pragmatists.
Constructive leaders of the 21st Century will be challenged to raise tolerance of religions and cultures. In the Korean example, liberal voters could have ranked the militarist candidate below both liberals. So the Condorcet winner probably would have been the liberal preferred by conservative voters. That was the most central candidate. The president would have had majority support over each rival.