ELO(ish) rating system experts wanted

[sorenjensen]

Hi all,

I just got accepted to this club (thank you to the admins!).

Background:
Being a mediocre chess player, I decided to create a new game inspired by chess - but also by reality. Being played on a 8x8 square board, the game offers exiting new game mechanisms while excluding the few mechanisms in chess that bother me.

Need for a ranking system:
The next step is to create a new ranking system for a game that involves luck (almost - but only almost - following a hyper geometric distribution) but still with skills being an important factor - and with a more complex scoring system than chess. I have noted that quite a few esteemed mathematicians and statisticians from equally esteemed universities have done wonderful work on the subject - but all seem to be done a few years ago. I personally fear that I have reached my intellectual "glass ceiling", and while I have identified a few "known unknowns" with respect to creating a ranking system for my game (which I could, I guess, figure out), I fear the "unknown unknowns".

What I am looking for:
If you know about any skilled person with a recent and active interest in self-regulating rating systems for games, please let me know. I am curious to e-meet them for a brief chat! Recently, some math students associated with a prominent university have done some initial work but only on unrelated aspects of the game.

The game:
I can provide the rule book, including the scoring system, for any interested person for his/her/their kind information (and consideration) as well as my initial thoughts on the matter. Everything will be informal and non-binding until agreed otherwise. Linking to the actual game website in this forum would be, being a newly accepted member, disrespectful. I am not here to "promote" anything.

Best regards,
Soren Jensen

[abulmo2]

The Elo rating system is a way to convert a probability of winning into a rating difference. The way to rank players depends on your purpose. On computer tournaments, like CCRL or CGET, an "exact" computation is done periodically on the whole set of games using programs like https://github.com/michiguel/Ordo or https://www.remi-coulom.fr/Bayesian-Elo. The computation of such Elo are an heavy operation and cannot be done after each game is played.
So, for human tournaments, Elo devised a system that make the computation simpler, so that an updated Elo can be given after each tournament using a manual calculation:
https://en.wikipedia.org/wiki/Elo_rating_system
For tournament on internet (like Lichess), an enhanced version as been proposed by Glickman. His approach is based on a rating deviation that diminishes when you play a lot and your rating is more reliable and increases when you play less. After a game, your rating is updated more or less depending on your result, the rating of your opponent and the reliability of your rating:
https://en.wikipedia.org/wiki/Glicko_rating_system

[Ras]

Moderation: Moved thread to this forum. The Kindergarten forum is for splitting off junk parts of discussions and not meant for starting new threads.