MENTAL MODEL · M3115

Condorcet Paradox

DecideHigh supportDecision Science

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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

Collective preferences may be cyclical, even if each individual's preferences are transitive (rational). For example, in a group, A is preferred over B, B over C, but C may be preferred over A. This shows that majority voting mechanisms can produce logically contradictory results.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

Decision mechanism design. It reveals the inherent flaws of "majority rule". In team decision-making, if such a cyclical deadlock occurs, changing the voting order (agenda setting) can manipulate the final outcome, reminding us to design more complex decision mechanisms (such as weighted voting).

anchor

Anchor fast decisions

Even if each individual's preferences are transitive (A>B>C), collective preferences under majority rule can still be cyclical (A beats B, B beats C, C beats A), with no stable majority will. This is a direct manifestation of Arrow's impossibility theorem.

MINIMUM ACTION

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Practice this model in one real situation:

Identify possible cycles in voting (risk of agenda manipulation). Do not assume that "majority rule" always yields a consistent result. Consider more complex mechanisms: weighted voting, ranked voting (such as Borda count), or set the agenda before voting.

Check to track your progress (stored locally)

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Source support: Explicit

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zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E6%8A%95%E7%A5%A8%E6%82%96%E8%AE%BAZH · Explicit
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