Arrow's Impossibility Theorem Simulator

Same preferences, different winners. Kenneth Arrow proved in 1951 that no ranked voting system can simultaneously satisfy a small set of fairness criteria. Explore it yourself: edit the preferences below and watch five methods disagree.

Arrow's theorem in action: same votes, different winners The voting method — not the voters — determines who wins.
Dictator Mode: Agent 1's preference always wins (violating non-dictatorship) Arrow requires that no single voter can unilaterally determine the outcome.
P
Preference Rankings
Voter 1st 2nd 3rd 4th 5th
Click a candidate chip, then click another in the same row to swap them
R
Election Results