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I have some abstract sport, where for each player his/her rating (some number) is known. Then players participate in competition, and the scoreboard is made, placing each player at some place. I need to develop or find any system that can recalculate rating for each player based on his/her previous rating and their place at competition. I know about Elo rating system, but I can't come up with an idea to make it suit my need (Elo rating is for competitions where players compete head-to-head). Is there anything to adapt for me or any ideas I can use?

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    How players compete against each other if not head-to-head? Is it like racing, where number of participants compete against each other and then finish in certain positions? I think the dynamics and the nature of the abstract sport you are mentioning is important for us to answer this question. – gdrt Jul 1 '18 at 12:40
  • i think that question is too abstract. What is exactly wrong with Elo, and what do you want to achieve with your rating system? Also, take a look at F1 points system. It just gives number of points for positions at the end of each race – aaaaa says reinstate Monica Jul 1 '18 at 19:52
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If you're interested in use (more than in development), you should give a try to rankade, our skill based ranking system.

Opposite to Elo and Glicko (here's a comparison), rankade can manage any kind of match (one-on-one, faction vs. faction (two teams, which may be asymmetrical), multiplayer, multi-faction, cooperative games, single player games, and so on), so you can insert one match with Alice 5, Bob 4, Chris 3 (an more, up to 30 factions) output.

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  • Is the rankade algorithm, or anything similar, open source or with a similar licence? I need to use it for a separate program I am running as a project – Nethesis Mar 25 '19 at 10:20
  • The service is free but the algorithm is not in public domain, for the time being. – Tomaso Neri Mar 27 '19 at 15:26

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