The possibility that the voting preferences of a group of individuals results in an inconsistent, or intransitive, ranking. While consistent, or transitive, ranking of preferences is expected for individuals, such might not occur for groups of voters. If a consumer prefers good A to good B and good B to good C, then it makes logical sense that the consumer also prefers good A to good C. The voting paradox arises because a group of individuals might prefer A to B and B to C, but then prefer C to A, an inconsistent and intransitive ranking of preferences. Other related voting problems identified by the study of public choice includes the median voter principle, logrolling, and voter apathy (due to rational ignorance and rational abstention).

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