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Elo rating system

method for calculating the relative skill levels of players in zero-sum games such as chess

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Record originEnglish Wikipedia
Text licenseCC BY-SA 4.0
Source revisionSep 12, 2026
Entity authorityQ105955
Source-derived summary

The Elo rating system is a method for calculating the relative skill levels of players, originally designed for rating chess players. It is a special case of the Bradley–Terry model. The Elo system was invented as an improved chess rating system over the previously used Harkness rating system and has since been adapted for use in other zero-sum games and sports, including tennis, association football (soccer), American football, baseball, basketball, pool, various board games and esports. It is named after its creator Arpad Elo, a Hungarian-American chess master and physics professor.

The difference in the ratings between two players serves as a predictor of the outcome of a match. Two players with equal ratings who play against each other are expected to score an equal number of wins. A player whose rating is 100 points greater than their opponent's is expected to score 64%; if the difference is 200 points, then the expected score for the stronger player is 76%.

A player's Elo rating is a number that may change depending on the outcome of rated games played. After every game, the winning player takes points from the losing one. The difference between the ratings of the winner and loser determines the total number of points gained or lost after a game.

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The public source identifies “Elo rating system” as method for calculating the relative skill levels of players in zero-sum games such as chess. This brief keeps that definition visible, then builds a research path around rating, system and method.

Editorial reviewA practical starting point whose main value is the path it opens into stronger specialist and primary sources. The current 212-word lead offers orientation but no explicit four-digit date, so chronology should not be assumed. The selected authority fields contribute no independent date. Its value is orientation rather than verdict, with rating, system and method providing the first useful test.
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This entry incorporates text from Elo rating system” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.