How the ratings and odds work

Futbol Ranks turns each national team's Elo rating into win / draw / loss probabilities and fair odds for any matchup. Here's the full method, in plain terms.

What is an Elo rating?

Elo is a rating system originally designed for chess and widely adapted to football. Every team has a single number; beating a strong opponent earns more points than beating a weak one, and the gap between two teams' numbers predicts the result. We use the well-known World Football Elo model, which rates all men's national teams on one comparable scale.

From rating gap to win expectancy

For a match between team A and team B, we first compute the rating difference, including any home advantage:

d = EloA − EloB + homeAdvantage

Team A's expected result is then the standard Elo logistic curve:

Wₑ = 1 / (1 + 10^(−d / 400))

This number between 0 and 1 is an expected points fraction, where a win counts as 1, a draw as ½, and a loss as 0. A value of 0.75 means "on average team A takes three-quarters of the points available."

Splitting into win, draw, and loss

Football has draws, so we split the expected result into three outcomes. Draws are most likely when teams are evenly matched and become rarer as the gap widens, so we model draw probability as a bell curve in d:

P(draw) = 0.29 · e^(−d² / (2 · 350²))

The win and loss probabilities then follow directly:

P(A win) = Wₑ − P(draw)/2  and  P(B win) = 1 − Wₑ − P(draw)/2

The constants (a peak draw rate around 29% and a spread of 350 rating points) are typical for international men's football.

Home advantage

Home teams overperform, so we add a rating bonus to the home side — by default 100 Elo points, a standard convention. For neutral-venue matches the bonus is zero. In our 2026 tournament view, a host nation (United States, Mexico, or Canada) receives the home bonus only when it plays inside its own country; all other matches are treated as neutral.

Fair odds

We convert each probability into "fair" decimal odds with odds = 1 / probability. These contain no bookmaker margin, so they're a clean benchmark: if a sportsbook offers higher odds than our fair number, that side may represent value.

Limitations

Elo captures long-run strength, not everything that decides a single match — injuries, suspensions, motivation, weather, travel, and tactics all matter and aren't in the model. Ratings are also a point-in-time snapshot. Treat every output as an estimate for informational and entertainment purposes, not as betting advice.

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