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After the 20 weekly games no further points are added towards the leaderboard. Only the rating changes.
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If you have played your maximum games for the week, you wont get points. You will only get Elo (the actual system that decides who is the "best", but is hidden till you get to Gold division). But for the lower "divisions", yeah, you get no points after all your games for the week are done. You can get the details here -https://www.geoguessr.com/multiplayer/how-it-works