Condorcet paradox

The Condorcet Paradox is a situation where no one choice can be definitively declared the winner. Imagine that everyone in a group has to pick between 3 different choices and the group votes on them. In the voting, one choice can beat the second choice, the second can beat the third choice and the third can beat the first one. This means that no choice has a clear majority and no choice can be declared the winner.