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Posts from Player rating for tournaments across all installments of Heroes. Auto-translated

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Which rating system should I choose? (see the text for details)
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In reply to IronAxe
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#378
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IronAxe;65009
Or is it not like that? :)
The oscillator will work even on Mars, and it does take location into account... But the first term will be zero for everyone because everyone fights everyone else... In pairs. The winner is the one with more victories over opponents. Then everyone is ranked in a table, and the calculation is based on the position... :smile51:
Сначала было слово...
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In reply to AmberSoler
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#379
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AmberSoler;65016
The oscillator will work even on Mars, and it does take location into account... But the first term will always be zero for everyone because everyone fights everyone else... In pairs. The winner is the one with the most victories over opponents. Then everyone is ranked in a table, and the calculation is made according to the position... :smile51:
Why is an oscillator needed if the first term will always be zero? Why divide the second component by 2? I'm not against calculating the arena purely using a linear formula. But the non-linear component introduces distortions when playing for speed in tournaments, so Carthage must be destroyed :)
In reply to IronAxe
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#380
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IronAxe;65005
The Prophet told me that at the very beginning. So I don't count arena battles towards the rating. As far as I know, Arena is a different type of offline tournament. You need to gather troops and fight there. Have there been many Arenas on this resource?
Considering that our portal is quite young, and therefore there haven't been many tournaments, nevertheless, there was an "Arena"-type tournament for Might and Magic Heroes II you can read about it here. And I think there will be more. We shouldn't give them up...

Sincerely.
In reply to Kyle
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#381
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Kyle;65091
Considering that our portal is quite new and therefore there haven't been many tournaments, nevertheless, a tournament like "Arena" was held for the second game in the series you can read about it here. And I think there will be more of them. We shouldn't give up on them...
No one is arguing with that. But this is a different type of tournament – Offline. In each stage, they play one-on-one until someone loses. Therefore, it would be appropriate to use your example about runners competing in obstacle courses over 400 meters and 100 meters.
If you are going to combine rankings from Arena-type tournaments and speedrun-type tournaments into one ranking, then why don't you combine all versions of the game into one ranking? Or do you only bring up the runner example when it benefits you? :)
In reply to IronAxe
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#382
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IronAxe;65176
If you are going to combine different types of Tournaments, such as arena and speed tournaments, into one rating, then why don't you combine all versions of the game into one rating?
You are combining speed tournaments, experience tournaments, skeleton tournaments, and more, and they all have different numbers and compositions of participants... That's why I decided to add this type of tournament to the mix. And what's wrong with that? AmberSoler's system handles this, more or less... Yours doesn't...
And if you want to say that these tournaments cannot be compared, then you would be right... but only partially, because you can't compare different types of tournaments at all! As I have written about many times! Tournaments can only be compared to each other if several conditions are met (I have already written about them).

By the way, have you noticed that if you compare speed tournaments and tournaments for collecting something (experience or skeletons) using your system, it is much more advantageous for outsiders to participate in the collection tournaments, because the gap between the leader and the outsider is not as large as in speed tournaments. Look at the results of the respective tournaments. The oscillator, at least, smooths out this obvious bias.

Sincerely.
In reply to Kyle
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#383
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Kyle;65326
So, you're lumping together speed tournaments, experience tournaments, skeleton tournaments... and they all have different numbers and compositions of participants... That's why I decided to add this type of tournament to the mix. And what? AmberSoler's system handles this, albeit imperfectly... Yours doesn't...
First of all, understand one thing. In the AmberSolera system, one of the main parts is non-linear – this is my system, and according to AmberSolera, it is fundamental. Everything else is designed to smooth out the rough edges :) And in such a way that this non-linear part ultimately cancels itself out :) Separately from the linear part, it cannot handle the Arena, but it can handle everything else, including experience, resources, skeletons, and speed. I agree that the linear part can handle the Arena independently, but in all other cases, it introduces distortions, and this is already evident from the existing calculations, which everyone except me has refused to comment on.
Kyle;65326

And if you want to say that these tournaments cannot be compared, then you would be right... but only partially, because you can't compare different types of tournaments at all! I've written about this many times! Tournaments can only be compared with each other if several conditions are met (I've already written about them).
By doing this, you inadvertently admit that all your calculations of clan ratings are nonsense. But I wouldn't say that. Because even though you calculated different tournaments and different versions of the game, you only did it based on the non-linear part – where there are results for the leaders and the ratio of days to other players, without all the other nonsense. Therefore, I believe that your clan rating based on these formulas is quite good.
Kyle;65326

By the way, have you noticed that if you compare speed tournaments and tournaments for collecting something (experience or skeletons) using your system, it is much more advantageous for outsiders to participate in collection tournaments, because the gap between the leader and the outsider is not many times greater, as in speed tournaments. Look at the results of the corresponding tournaments. The oscillator, at least, smooths out this obvious bias.
With the oscillator, outsiders should just give up on any of the tournaments – didn't you notice that? Take another look at the results :)
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#384
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What if the oscillator doesn't start from zero (as suggested)? Then the underdogs might actually benefit. I suggested starting the linear part from 5 points, which would eliminate the disadvantage for underdogs (especially with a large number of participants). So, the oscillator isn't unfair; we just need to figure out what value to start from (I believe it shouldn't be 0, because the non-linear component isn't zero).
Therefore, we shouldn't blame the oscillator entirely; we just need to refine it.
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Геройский Интернационал
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In reply to AlexeyPank
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#385
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AlexeyPank;65405
What if the oscillator doesn't start from zero (as already suggested)? Then the underdogs might actually benefit. I suggested starting the linear part from 5 points; then, there wouldn't be such a disadvantage for the underdogs (especially with a large number of participants). So, the oscillator isn't unfair; we just need to figure out what value to start from (I believe it shouldn't be 0, because the non-linear component isn't zero).
So, there's no need to blame the oscillator; it just needs to be refined.
Why not start from 1000? AmberSoler claims that all numbers should be strictly justified. There's no need to refine anything :) The oscillator isn't unfair :) And the non-linear rating doesn't unfairly penalize anyone – everyone gets what they deserve. What you earn is what you get. I agree that the non-linear part is suitable for the Arena. The more people there are, the harder it is to win, meaning you have to personally defeat a certain number of players to take a certain place. But in offline tournaments, considering the number of players in the tournament is pointless because they don't interfere with each other's map completion. The number of days is enough to understand how well each player performed. Examples have already been given; what's the point of a player outperforming many players and taking second place if all the players performed poorly? Therefore, they can only realistically judge their result in relation to the leader's completion time in days. The leader is given acceptable limits for speedrunning. So, the meaning of your refinements is unclear to me. We can clearly see how the results of the underdogs are distorted; you want to start counting from a non-zero value. But so what? The distortion of the results in the middle of the table isn't as noticeable, but it exists (see examples where a weak player takes second place but spends an absurd number of days completing the map!).
Why refine and straighten out these results, especially since, in the described situation, straightening them out actually distorts them? The player in second place will still get a bonus, even though they performed poorly, which is evident from the leader's result. The non-linear system doesn't suffer from such glitches. Even the VDV system is better than the oscillator because it gives at least a fixed number of points for each placement without distorting that result with bonuses, although the non-linear system is still better because the issue with absurd results remains.
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#386
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I suggest using a linear scale starting from five points for the following reason: it is close to the minimum score obtained using a non-linear system across all tournaments held (5.65 for Evil_Hearte in the Heroes V tournament). So, this number is not arbitrary. A non-linear system is only suitable for comparing two tournaments in one case: the map was the same, and the starting save was identical. Otherwise, we are comparing apples and oranges, or even 100 meters and 400 meters with hurdles.
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Геройский Интернационал
Клан Homo homini - основатель клана
Член РКСМ с 07.07.07.
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In reply to AlexeyPank
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#387
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AlexeyPank;65549
I suggest considering the linear system starting from five points for the following reason: it is close to the minimum score obtained in the non-linear system among all the tournaments held (5.65 for Evil_Hearte in the tournament for the fifth game). So, this is not an arbitrary number. The non-linear system is suitable for comparing two tournaments only in one case: the map was the same, and the starting save was the same. Otherwise, we are comparing apples and oranges, or even 100 meters and 400 meters with hurdles.
Right now, we are comparing apples and oranges. And in both tournaments, on these different maps, there will be its own leader and acceptable limits. That
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#388
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This means you simply have nothing to say, because, as I understand it, this thought never occurred to you before. You can't compare two maps if they are different. One map was completed by the leader in 10 days, and the second-place player in 12 days. The same players completed another map with different results – the leader in 100 days, and the second-place player in 150 days. And on a third map, the first player completed it in 30 days, and the second in 31. Tactics change, but that doesn't mean that one player suddenly became worse than the other or drastically improved their skill level. He is consistently in second place. It simply means that on this particular map, one player's tactics are better than the other's. But the players' strength couldn't have changed so drastically back and forth.
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Клан Homo homini - основатель клана
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In reply to AlexeyPank
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#389
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AlexeyPank;65808
This means you simply have nothing to say, because, as I understand it, this thought never occurred to you before. You can't compare two maps if they are different. One map was completed by the leader in 10 days, and the second-place player in 12 days. The same players completed another map with different results – the leader in 100 days, and the second-place player in 150 days. And on a third map, the first player completed it in 30 days, and the second in 31. Tactics change, but that doesn't mean that one player suddenly became worse than the other or drastically improved their skill. He is consistently second. It's just that on this particular map, one player's tactics are better than the other's. But the players' strength couldn't have changed so drastically back and forth.
It never occurred to you?! But this is the basis of the non-linear system calculation. :) Do I have to explain everything to you again from the beginning?
Here are the rankings for your example!
10 days (leader)
10*100=1000;

1000/10=100
1000/12=83.3

100 days (leader)
100*100=10000

10000/100=100
10000/150=66.6

30 days (leader)
30*100=3000

3000/30=100
3000/31=96.7

And now, look at what you get without my non-linear part, but using only the places and your coefficient :) You're really getting on my nerves
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#390
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No one is trying to diminish the importance of the non-linear aspect! How many times must we say that it is ONE of the key components? And based on the calculations for just one non-linear component, it turns out that in the first tournament, the second-place player performed 17% worse than the leader, in the second, they suddenly forgot how to play and only performed at 2/3 of the leader's level. And in the third, they suddenly drastically improved their game and almost matched the leader. What an unstable player, suffering from amnesia and flashes of genius at the same time.
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#391
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AlexeyPank;65975
No one is trying to diminish the importance of the non-linear aspect! How many times do I have to say that it's just ONE of the key components? And based on calculations using only this one non-linear component, it turns out that in the first tournament, the second-place player performed 17% worse than the leader, in the second, they suddenly forgot how to play and only performed at 2/3 of the leader's level. And in the third, they suddenly drastically improved and almost matched the leader. What an unstable player, suffering from amnesia and flashes of genius at the same time.
The leader consistently plays at a 100 rating. Accordingly, the second player performs relative to them as you described, and the rating reflects this!
But imagine that the leader is always the same player. And the second player is different in each of these tournaments. Why couldn't that be the case? But by taking second places, they are not playing at the same level, which is evident from the daily results! And that's why the places they occupy only introduce distortions :)
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#392
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Clear definitions still need to be established: when a tournament should be considered rated. The proposed figures of 2-4 people (depending on the version) are clearly too low. Example: I organize a tournament. I don't notify anyone about it. I prepare the starting save carelessly, even intentionally with errors. Obviously, no one wants to play in such a game. But! I invite two or three friends, we complete this tournament together, and there you have it—free rating. This is not right. Therefore, I propose the following figures:
Heroes 1 - 5 people.
Heroes 2 - 7 people.
Heroes 3 - 10 people.
Heroes 4 - 5 people.
Heroes 5 - 10 people.
For the third one, the limit could be raised even further, as it is the most popular part. Tournaments like these can already be considered rated; the representation will be quite sufficient.
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Геройский Интернационал
Клан Homo homini - основатель клана
Член РКСМ с 07.07.07.
ФЛУДОВСКИЕ ССЫЛКИ!- сообщить о бесполезной теме/сообщении.