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How your loss and gains are determined.

I know how the point system works on a basic level. The higher the players points are compared to your own the more you can win and the less you can lose and the same but opposite for the other player.

However, does it matter how badly you lose? I ask because a player lost a larger amount then people usually lose when they have low scores like we had. He lost 50 points and he had a few less points the myself so why such a large loss of 50 points? I dont have an issue /problem with him losing 50 i am just curious as to why?

Was he punished for not playing on or resigning. Was it because he played badly making blunders and not capitalising on my blunders? Why such a big loss in his points? i would of expected him to lose 8-12 point not 50.

Thank you
The variance in point loss/gain for similar point differences has to do with each individual players' rating deviation (uncertainty). Players with high RD will earn or lose more points when they win or lose respectively.
You may have noticed that some players have a question mark next to their rating? That's the reason to why.

The question mark means that the player does not have an established rating, and their skill level is not really calculated. This is called "rating deviation". You can see your rating deviation by clicking on a certain game type(as an example, Blitz) in your profile. It should be right under the graph. If the number is lower than 110, the system considers the player's skill to be measured. Above 110, and the system gives the player a provisional rating, which is less accurate. So, the lower rating deviation, the more accurate is the rating.

Playing more games against a vareity of players from different skill levels should effectively decrease this number.

In short, your opponent's rating wasn't that accurate, and this huge loss in rating was a way for the system to try to locate his/her skill level.
@Shiaxou Thanks that answers it perfectly. It makes sense because they did lose bad so the system may have picked up on the mistakes, inaccuracies, blunders, missed capitalising on my blunders etc. They did not have a question mark but the system must of still been trying to place then in a an accurate bracket.

Thanks
What engine calls "mistakes", "blunders" etc. is quite irrelevant to your skill. There are games of 2000+ players with lots of tactical blunders which both players missed. This only says that the position on the board was mad enough, not that players are weak. When strong player gets a weak one, the strong one can often play without an inaccuracy just because the weak didn't create any real chess problems, and all good moves for strong were natural. This is why engine accuracy is generally not used to estimate skill levels, or used with a big caution.

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