Star Judge
Decide what to play tonight — with math.
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Explore the voting methods
Every ballot runs through eight voting methods at once. These hand-crafted scenarios show where they disagree, when vetos matter, and what happens in rock-paper-scissors cycles.
Methods Disagree Same ballot, different winners — proof that the method you choose can pick the game you play.Tennessee Capital Memphis has plurality but Nashville wins everything else — except IRV, which picks Knoxville.Condorcet Cycle Azul>Brass>Catan>Azul — a real cycle with different grades per candidate, not just a perfect tie.STAR Runoff Flip The highest-scoring game loses the runoff — majority preferred the runner-up head-to-head.Broad Support Wins STAR/MJ/IRV pick the polarizing favorite. Borda and Condorcet lift the consensus runner-up — the game nobody hates.Maximum Disagreement Five different winners across eight methods — polarizer, consensus, vetoes, and a dictator finale.Veto — Changes Winner The top-rated game has one Hard Pass — the veto knocks it out and the runner-up wins.Veto — No Effect Veto isn't a trump card — when every game has the same Hard Pass count, the IV methods fall through and the raw winners stand.IRV — Baseline Wingspan wins every method, including IRV. Its companion scenario raises Wingspan on two ballots — and IRV kicks Wingspan out.IRV — Raising Backfires Same ballot as the Baseline — but two voters bump Wingspan to first. IRV now eliminates Brass, transfers the votes to Catan, and Catan wins. Raising Wingspan made Wingspan lose.Compromise Wins Two factions pick polarizing favorites; a third picks the game everyone tolerates. Seven methods lift the compromise. IRV alone eliminates it and then deadlocks on the polarizers.Borda Burying — Honest Codenames is everyone’s pretty-good compromise — it wins STAR, Borda, and Condorcet. Its companion scenario shows what happens when Brass-fans try to game Borda by burying Codenames.Borda Burying — Strategic Same voters as the Honest ballot, but Brass-fans downgrade Codenames to Poor to kill the compromise. STAR flips to Brass (strategy works). Borda flips to Catan — burying Codenames accidentally elevated Catan on their ballots.Perfect Tie Two games have identical ratings — every method deadlocks at #1 except Dictator.Methods Agree The baseline case: when voters agree, all eight methods agree. Everyone loves Wingspan.