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In certain circumstances an election has no Condorcet winner.
This occurs as a result of a kind of tie known as a majority rule cycle, described by Condorcet's paradox.
The manner in which a winner is then chosen varies from one Condorcet method to another.
Some Condorcet methods involve the basic procedure described below, coupled with a Condorcet completion method — a method used to find a winner when there is no Condorcet winner.
Other Condorcet methods involve an entirely different system of counting, but are classified as Condorcet methods because they will still elect the Condorcet winner if there is one.

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