The Condorcet paradox is a cycle in collective pairwise preferences even though each individual voter's preference is transitive.
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The Condorcet paradox, named after the French philosopher and mathematician Marquis de Condorcet, refers to a situation in collective decision-making where a group's preferences can lead to a cycle, meaning that no single option can be identified as the most preferred by the majority. This paradox highlights a potential inconsistency in majority rule voting systems. To illustrate the paradox, consider three candidates: A, B, and C.