← Back to all articles
Chess

Chess rating: Elo, Glicko, FIDE and online points in simple terms

Every time a new three- or four-digit rating number appears on the screen, a switch inside us quietly switches. A player who had just been relaxingly playing beautiful combinations in a friendly game suddenly turns into a tense pragmatist. We begin to double-check elementary moves three times, avoid aggravations and choose the most boring continuations, just so as not to see how after the final click our number decreases by a dozen points. The number next to the nickname begins to control our emotions, dictating the level of self-confidence.

Why does the number next to the nickname change the player's behavior?

The magic of these numbers is so strong that many are ready to “freeze” their rating at a beautiful level for years, afraid of making an extra move. But the paradox is that the rating itself does not know how to play chess. He doesn't move his knights, doesn't find graceful elephant sacrifices, and doesn't know how to checkmate on the last rank. This is just a mathematical reflection of your average playing strength over a certain period of time, translated into the language of probability theory.

To break free from the hypnosis of these numbers, it helps to look under the hood of rating systems. Understanding the mathematical nature of Elo and Glicko helps you realize that fluctuations in ratings are not an assessment of your personal qualities, but ordinary statistical noise. Once you understand the formulas and understand why losing to a strong opponent is practically harmless, and winning over an equal opponent is natural, you can regain the joy of pure play.

Chess rating: Elo, Glicko, FIDE and online points in simple terms
Illustration for: Chess rating: Elo, Glicko, FIDE and online points in simple terms

In short: ratings do not measure personality.

Chess rating is a statistical assessment of the relative strength of a player in a particular pool of opponents. The Elo and Glicko systems calculate the probability of a game outcome based on the difference in points between opponents. The rating is needed solely for selecting equal opponents in matchmaking. It does not reflect your intelligence, changes with each game and depends on your current form, internet stability and concentration level.

It is important to remember that online scores on different sites and the official FIDE rankings are separate systems. You cannot transfer your 1800 points from one virtual site to another or to a real tournament. Each player pool has its own scale and average level of opponent density. Therefore, comparing numbers directly does not make mathematical sense.

Your job as a player is to use your rating as your internal compass. If the graph slowly creeps up over a distance of 100 games, then your training is working. If it hesitates, you have recorded your current level of skill. If there is a decline, the body needs rest or correction of the opening repertoire.


Elo and expected score: an idea without heavy formulas

The rating system, which underlies most intellectual games today, was created by physicist Arpad Elo in the mid-20th century. His main idea was revolutionary for its time: the strength of a chess player is not a fixed value, but a random variable that fluctuates around an average value. Elo measures the difference in the strength of opponents and, on this basis, calculates the expected score of the game.

If the difference between you and your opponent is 200 rating points in his favor, mathematics expects him to score approximately 76% of the points in a match against you. This means that if you play 4 games, your opponent must win 3 of them. If you tie or win, you jump above your expected score and the system takes points from your opponent and gives them to you.

Chess rating: Elo, Glicko, FIDE and online points in simple terms
Illustration for: Chess rating: Elo, Glicko, FIDE and online points in simple terms

Let's look at the classic scenarios of expected results for various rating differences:

Rating difference (Opponent - You) Expected Score Probability of your win/draw Change points when you win Change points when you lose
0 points (Equal opponents) 0.50 (50%) Equal chance of outcome Average plus (eg +8 points) Average minus (for example -8 points)
+100 points (Opponent is stronger) 0.36 (36%) You are an outsider, but with good chances Big plus (about +12 points) Small minus (about -4 points)
+200 points (Opponent is much stronger) 0.24 (24%) Low probability of sensation Maximum plus (up to +16 points) Minimum minus (about -2 points)
-200 points (Opponent is much weaker) 0.76 (76%) You are obliged to win by the law of the pool Minimum plus (+2 points) Maximum minus (-16 points)

Glicko and RD: why the new rating jumps more

In modern online chess, the classic Elo system has been improved. Most platforms run Glicko (or its variation Glicko-2), developed by statistics professor Mark Glickman. The main difference between Glicko and Elo is the introduction of a new parameter - rating deviation (RD).RD measures the degree of uncertainty in the system regarding your actual strength.

When you first sign up or haven't played for a long time, your RD is very high. The system admits: "I don't know how good this user is at playing." At this moment, your games have enormous weight: for a victory they can give you 150 points right away, and for a loss they can write off 120. As you play game after game, RD drops. The system becomes increasingly confident in your strength, and point changes drop to the standard 6-12 points per match.

This algorithm solves two important problems:

  1. Quickly brings strong players (or “cheats”) out of the beginner zone and into their real rating echelon.
  2. Protects stable players from sudden sudden drops in rating due to one unsuccessful gaming session.

FIDE rating, club rating, online rating: three different realities

A common mistake new players make is to confuse their online rating with their real title or the official rating of the International Chess Federation (FIDE).After spending several months on the Internet and scoring a nominal 1600 points on a popular gaming site, a person comes to the local chess club and discovers that players with an official FIDE rating of 1300 are beating him without much effort.

This happens because we are dealing with three completely different mathematical pools:

  1. Official FIDE rating: Calculated only based on the results of head-to-head tournaments with classical time control, where games are supervised by referees and the rules are strictly regulated (FIDE Laws of Chess).This is a very dense and conservative pool, where each item is difficult to achieve.
  2. National and club ratings: They have their own formulas and take into account local tournaments within a specific country or association.
  3. Online platform ratings: Start from a different starting point (usually 1200 or 1500) and are subject to inflation due to the huge number of fly-by-night accounts and quick time controls.

Therefore, when analyzing your successes, always make a note of the specifics of a particular pool and do not use online ratings as an argument in disputes about official sports qualifications.


Why defeating the strong gives more

The mathematics of rating systems is based on the principle of balancing risk and reward. If you are playing against an opponent whose rating is significantly higher than yours, the system understands that your chances of winning are slim. Losing a game like this is the most likely outcome and provides almost no new information about your strength. Therefore, the system punishes you minimally, writing off only a few points.

But if you beat the favorite, it becomes a sensation for the algorithm. The system understands: “This player’s current rating is too low and needs to be raised urgently.” At this moment, a sharp jump in points occurs. And vice versa: a defeat from an opponent who is 200-300 points weaker than you deals a colossal blow to your number, since the algorithm considers such a result a gross failure.

For clarity, let’s consider the decision-making scheme of the rating system in various game situations:

[Match outcome]
        |
        +---> Win vs stronger opponent  ===> Probability was low        ===> Large gain (+12..+16)
        |
        +---> Loss vs stronger opponent ===> Outcome was expected      ===> Small loss (-2..-4)
        |
        +---> Win vs weaker opponent    ===> Win was expected          ===> Small gain (+1..+3)
        |
        +---> Loss vs weaker opponent   ===> Statistical anomaly       ===> Large loss (-14..-18)

Errors in thinking about ratings

Most of the problems with the rating lie in the field of psychology and misinterpretation of dry numbers. Players tend to make several common logical mistakes:


Final: rating as a compass, not a judge

A chess rating is an excellent tool when it fulfills its intended purpose: it helps you find interesting opponents with whom you will not find it too easy or unbearably difficult. It only becomes poison when you allow it to judge you as a person and dictate your mood for the day.

Think of your glasses as a compass reading on a hike. The compass shows you the direction you're going, but it doesn't navigate the route for you or enjoy the views around you. Cover the rating number with your hand if it prevents you from breathing, and just play a beautiful, fair game. The math will take care of balancing the numbers when you return to the board.


Practical Toguz Arena links


Sources and limitations


Fact-Check & Verification Ledger

Chess Rating Toguz Arena
After the article

Create an account and move from reading to real games.

Inside Toguz Arena you can review your own games, get AI recommendations, and immediately apply ideas from the blog in practice.