The Condorcet paradox shows that even if each individual in a group has transitive preferences, the group's collective preferences may not be transitive.

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The Condorcet paradox demonstrates that collective preferences can be cyclical and thus intransitive, even when the preferences of individual members are perfectly transitive. This means that a group can prefer option A over B, B over C, and yet C over A, creating a paradox in collective decision-making.

The Condorcet Paradox Shows That Even If Each Individual in a Group