Condorcet Method

How it works: Compare every pair of candidates head-to-head using the full ranking data. A Condorcet winner beats every other candidate in pairwise comparison. If no such candidate exists (a cycle), fall back to IRV.

Pairwise Margins

Each cell shows how many voters prefer the row candidate over the column candidate.

Chinese Indian Italian Mexican Thai
Chinese - 41–54 45–55 75–20 29–46
Indian 54–41 - 49–35 59–20 49–46
Italian 55–45 35–49 - 35–20 55–16
Mexican 20–75 20–59 20–35 - 20–46
Thai 46–29 46–49 16–55 46–20 -

Beats Matrix

1 = row candidate beats column candidate. A Condorcet winner has all 1s in their row.

Chinese Indian Italian Mexican Thai Wins
Chinese - 0 0 1 0 1
Indian 1 - 1 1 1 4
Italian 1 0 - 1 1 3
Mexican 0 0 0 - 0 0
Thai 1 0 0 1 - 2

Condorcet winner: Indian

The Compromise Candidate

Indian has only 4% first-preference support — dead last under FPTP. But it's everyone's acceptable compromise. In every head-to-head matchup, more voters prefer Indian over the alternative. This is exactly the scenario Condorcet methods are designed to detect: a broadly acceptable candidate that plurality voting misses entirely.