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Player rating for tournaments across all installments of Heroes.

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AlexeyPank;60064
Simply, if your proposal is suitable for calculating grails, then why not use it? Ideally, these two concepts could be combined, BUT grails are spent, while the rating should remain.
Maybe we will arrive at such a solution?
Yes - for awarding grails, it's even better than VDV's, and at the same time, it contains ideas on how to track the current rating more effectively. Later, having the established ratings of participants, we can apply them to the calculations of annual ratings for championships; in this case, the strength of each stage, which will be composed of the current ratings of the players participating there, will be taken into account automatically. In my opinion, that would be the correct way. Let's have someone come up with a way to reduce the dependence on the place taken in the second component.

Added after 4 minutes
AmberSoler;60067
Your "silly" example is quite appropriate, however, a third participant must be introduced to complete the picture.

Hence the question: if a third participant completes the map in 500 days, then the outsider with their Walkthrough in 1000 days will be third out of three, not second out of two.

And if the newly introduced third participant completes the map in 1200 days, then the one who completed it in 1000 days becomes second out of three, not third... Moreover, their result remains unchanged, but the rating will depend on the play of ALL participants, not just the leader... This is not the same thing.

And the oscillator is designed to take into account all tournament participants (not only their number, but also their relative positions). The second parameter, which you have complaints about, is responsible for this point. The second (linear) parameter is not applicable on its own, but in combination with the first, it gains meaning... Don't rush, just experiment with the numbers...
I agree, but you are comparing participants of ONE tournament/stage, and not comparing them with another tournament/stage where, for example, a tougher contingent might gather. And everyone is playing Heroes (different versions) but for speed in days, which is essentially the same for any heroes. In this case, one can only tie into the results of the leaders of these two tournaments. It's not absolutely smooth either, but at least it works relatively.

Added after 11 minutes
AmberSoler;60067
Your "silly" example is quite appropriate, however, a third participant must be introduced to complete the picture.

Hence the question: if a third participant completes the map in 500 days, then the outsider with their Walkthrough in 1000 days will already be third out of three, not second out of two.

And if the newly introduced third participant completes the map in 1200 days, then the one who completed it in 1000 days becomes second out of three, not third... Moreover, their result remains unchanged, but the rating will depend on the play of ALL participants, not just the leader... This is not the same thing.

And the oscillator is designed to take into account all tournament participants (not only their number, but also their relative positions). The second parameter, which you have complaints about, is responsible for this point. The second (linear) parameter is not applicable on its own, but in combination with the first, it gains meaning... Don't rush, just experiment with the numbers...

The concept of an oscillator, as a parametric index reacting equally to changes in several unrelated parameters, was not invented by me. This mechanism has been tested and adopted by all methodologies researching the behavior of randomly changing digital sequences (tournament results are exactly that). So, in the first approximation, everything here is correct, do not doubt it. And to justify this to you, I would have to go beyond the scope of the topic :) Maybe it's not worth complicating things?
And for calculating grails, this mechanism is certainly applicable.

Yes, I understand that, however, why do you deny that the second parameter can practically completely swallow the first - it's clearly visible in the example, and we are trying to obtain a GENERAL CURRENT gaming rating for all participants of the resource playing in tournaments :)
In my case, the situation becomes dire if the leader of some stage completes the map in, say, 1000 days, and the others do even worse; then, because of the link to the leader, the results will still be incorrect. In this case, in my defense, I can only say (and the leader would say the same): "Why don't you try it yourself, maybe you'll complete this map even worse :)"
And this can happen until the Current rating is fully operational, involving players of various strengths in different versions of the games. The more, the better. And that's why it needs to be aged more actively :)