Arrow's Impossibility Theorem

Any voting rule with ≥3 candidates violates IIA, Pareto, or non-dictatorship

Voter Preferences (drag to rank)

Click candidates in order of preference (1st = best)

Voting Rule

Axiom Violations

Arrow's theorem: No rule on ≥3 candidates satisfies all three:
IIA: outcome for {A,B} unchanged if C rankings shift
Pareto: if everyone prefers A to B, A wins vs B
Non-dictatorship: no voter always determines outcome