Tournament designer

A tournament is an estimator. Nature fixes a ranking, each match is a noisy pairwise comparison, and the format is a rule for turning a budget of comparisons into a guess at who is best. This page runs the same Thurstone Case V model as the rest of the site (performance is ability plus Gaussian noise, highest performance wins, Elo-calibrated so a +100 rating edge is about a 63% single-game chance) to ask which 48-team World Cup format most reliably crowns the truly best team, for the same calendar length.

Tune the rules, draw a bracket to play one tournament, then simulate to run the format against the real World Cup and a pure Swiss league many times over, all in your browser.

How a Swiss works, and what every dial means

A Swiss tournament (from 1890s chess) sits between two extremes. A round robin makes everyone play everyone: accurate, but far too many games. A knockout sends you home after one loss: dramatic, but it throws away information. A Swiss keeps every team in and, each round, pairs teams on equal records.

  1. Round 1 is seeded: the top half of the field plays the bottom half.
  2. After that, teams are sorted by points and paired with the nearest team they haven’t met, so winners meet winners and stragglers drift down. Nobody is eliminated.
  3. After a handful of rounds the standings are the ranking, with no bracket required.

Because opponents are always near-equals, almost every game is a coin-toss on paper, which is exactly what makes it informative: a 50/50 match tells you far more than a 5–0 mismatch. Over the same number of match-days as the World Cup you pack in many more useful comparisons, so the table tracks true ability much better than three group games and a knockout ladder. This tool adds a short knockout (semi-finals, then a final) onto a Swiss group phase, to keep a real final while keeping the accuracy.

What the dials mean

Competitive balance
How evenly matched the 48 teams are. Slide right and the ratings squeeze together, so weaker teams upset stronger ones more often.
Swiss rounds per group
How many games each team plays in its group. Rounds, plus a semi-final and a final, give the total match-days: the same calendar the real World Cup fills.
Send teams home when eliminated
Once a team can no longer reach the top 4 of its group it stops playing. It only drops teams that already cannot reach the semis, so it never changes who can win; it just thins the field for drama.
Record defends vs Penalties
Two ways to settle a drawn knockout game. “Record defends” sends through the team that finished higher in the group phase, rewarding a strong group run. “Penalties” decides a draw with a 50/50 shoot-out. You can set the semis and the final separately.
Seed
A team’s pre-tournament rank by rating, used to build balanced groups and to decide who defends a drawn game.
Record
The points a team has so far: 3 for a win, 1 for a draw.
Elo rating
A strength number for each team; a +100 gap is about a 63% chance of winning a single game.
The true best team
Whichever team actually has the highest ability once a tournament’s form is added: the team a flawless format would always crown. The bars show how often each format manages it.
8 match-days total
The draw: four Swiss groups of twelve
Group winners advance
Ready Press Draw a tournament to play one tournament under these rules.
How often is the true best team crowned?
This designgroups then semis
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World Cup 2026groups of 4 plus knockout
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Pure Swiss8 rounds, no final
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Press Simulate 500 tournaments to fill these bars. Each is the share of tournaments whose champion is the single strongest team on the day; higher means the format rewards ability over luck.

What the model is telling you

Across thousands of Monte-Carlo tournaments, every Swiss-style format beats the group-of-4-plus-knockout World Cup by a wide margin. The lever is simply not eliminating teams on thin evidence: the real World Cup sends the true best team home before the final about two-thirds of the time, on a single knockout upset or a three-game group. You can still send teams home for drama, as long as you cut on an accumulated record, protect the top two into the final (the “most plays least” bracket), and let the semis be “Record defends” so a whole run of results is not coin-flipped away. Team names are the real 2026 field, carried by approximate World-Football-Elo ratings; each tournament re-draws only a dose of “form,” so favourites usually top their groups but upsets still happen.