Voting Paradox

Drag ballots to reorder them, then watch the six systems disagree

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Presets

A beats B beats C beats A — no Condorcet winner.

Paradox Detector9 voters

Condorcet Cycle

A beats B beats C beats A — no head-to-head champion exists.

Ballots

3×
3×
3×

Systems

Plurality
TieFirst choices: A 3 B 3 C 3
Top-Two Runoff
ARunoff A vs B: 6-3
Borda Count
TieBorda points: A 9 B 9 C 9
Condorcet
TieNo candidate beats all others (cycle)
Approval
TieApprovals (top-half): A 6 B 6 C 6
Instant Runoff
AMajority for A after 2 round(s)