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I'd like to summarize the results :) of the dispute with Dmitry AC regarding the rating. I won't be overly ironic, but I will "poke" him a little :) For the sake of fairness, I'll say that the dispute wasn't entirely useless – some things are becoming clearer and clearer, and in reality, it is difficult for a person to immediately make sense of the mess we've been dealing with for an entire year, so this post will also include a bit of history. So...
1* When you talk about rating, clearly separate the concepts of what you mean. I'm not even talking about dividing ratings into current, cumulative, general, and universal.
2* When we talk about the player rating on this forum for offline Heroes tournaments, we must keep in mind that this rating calculates all official tournaments on this forum, including all stage-tournaments of the Kanigem Tournament and other officials conducted with various winner determination criteria (speed, experience, skeletons, minerals, mines, etc.) and must understand that this rating is not intended to determine tournament winners. This rating is exactly what results after the winners have already been determined and their results are known.
For this purpose, I came up with a simple formula. Place was not taken into account due to its subjectivity. Why is it needed? Because here is how the rating calculation happens. First, places in the tournament are distributed based on player results and winners are determined for each individual tournament. Then, for the rating calculation, each player was credited with a rating for the tournament depending on the result they showed. At this point, the place they took in the tournament is irrelevant (even if with a result of 100 days they got second place while the leader finished in one day – such a person will still remain a tournament prize-winner and receive a prize if provided for by the tournament). The result, strangely enough, is also a reflection of the place taken because the PLAYER gets a PLACE depending on the result they showed (though examples have already shown that it's possible to take a high place with an IDIOTIC result due to the absence of players of a certain level). That is the only reason I did not include the same-place accounting in the formula. According to the proposed formula, for any tournament – regardless of the victory criterion – the leader was credited with 100 rating points for their result. Others danced based on the ratio of their results to the leader and were credited with a rating accordingly. At the same time, the subjective place introduces no distortions since it does not participate in the calculation. Thus, it became possible to calculate a rating that would reflect player results across different tournaments with different winner determination criteria (skelets, experience, speed) and introduce a Unified offline player rating on this resource for each version of Heroes (and besides, this allows for a Universal rating, which considers a player's results across different versions of the game). This is because such different values as experience, skeletons, and days were brought to a common denominator through the leader's result (the player who took first place), and we called this common denominator (a kind of substitute for skeletons, experience, and days) - RATING POINTS. At first glance, it seems that here we have mixed everything into one pile – all types of tournaments and different winner determination criteria, combining the incompatible. Yes! That is so. But that's exactly what we were striving for – we were looking for this common denominator to be able to calculate ratings for offline players from any tournament and obtained a unified and simple rating calculation, which relatively accurately reflects the sum of results accumulated by a player from the tournaments they participated in. The Price-Quality ratio of such a system is the highest of all proposed – even my main opponent AmberSoler agreed with this (or as AmberSoler says about me – that I am his eternal opponent ;)
3* With the start of the Kanigem Tournament, the question arose as to how to determine the winner of this tournament, which consists of ten separate tournaments (or stages). The organizers wanted to take as many parameters into account as possible when awarding points to determine the winner of the Kanigem Tournament, and for this, these points must be considered for each stage-tournament in the Kanigem Tournament. As parameters to be considered, they wanted to see the place taken by the player at each stage-tournament and the Strength of the Tournament for each stage, and also consider how the player performed relative to themselves in the previous tournament. At this time, I, AmberSoler, and Sage were arguing about rating in a separate thread. AmberSoler proposed including place in the rating and provided an oscillator formula. I disagreed. And at that moment AlexPank appears in this thread, scouring the forum for a formula by which points could be awarded in the Kanigem Tournament and then used to determine the winner. He gets caught up in our argument with AmberSoler, although we are arguing about something completely different, and then everything went wild. Firstly, three formula-systems were born at once:
Axe – accounting ONLY for result
Amber – oscillator – accounting for both result and the place taken by the player
AlexPank – accounting for result + accounting for place + accounting for tournament strength + something else there
All these formulas are called rating calculation systems. Only AmberSoler and I were talking about a General forum rating for players, while AlexPank took these ratings to calculate points to determine winners in the Kanigem Tournament. Amber and I told AlexPank our doubts regarding the Kanigem tournament rating. Therefore, Alex Pank did this – he began calculating three tables for the Kanigem Tournament using these three formulas without including other tournaments from the forum in this so-called rating. To compare what would result from different systems. Parallel to this, he maintains another three tables where, according to me, he calculates ratings for all players on the forum for all official tournaments using these same formulas, including the stages of the Kanigem tournament.
And suddenly FireBall appears, who begins to improve Amber's oscillator and AlexPank's formula. But why improve them? Well, here is why. I told both Amber and Alex that since you include place in your formulas, your rating systems are more flawed, and to eliminate the flaws, you start adding additional parameters (Alex Pank's system was a continuation and improvement of the oscillator). And the more parameters you add – the more flaws you introduce, but different ones. Like patching one hole while another rips.
And as confirmation of my words, FireBall appears and continues to develop the theme of improvements :) We also clashed with him, because I realized that now a fourth table of ratings multiplied by two would appear, since they would use it to calculate both the General rating from all tournaments and separately calculate the Kanigem tournament. In the end, the results of this skirmish led to AmberSoler leaving the dispute, leaving kind words specifically about my system as a farewell, for which I continue to respect him, although we cursed each other like there was no tomorrow :)
But the result of clashing with FireBall turned out predictable. Kamikaze appears with a new flawed rating calculation system and begins himself (to his credit and praise ;) to calculate both the General Player Rating across all tournaments and separately POINTS for the Kanigem tournament.
And suddenly Dmitry AC appears (this is after a year of our discussions :) and says, "what's with these legless and headless dogs here :)" And I feel a fifth system coming, which VDV started, and which, by the way, no one has yet canceled in his tournaments. The idea of this system boils down to considering only the places taken by the player in tournaments and not considering their results according to the main criteria for determining the winner in a tournament. But I am simply sure now that Dmitry AC could not make sense of the threads and posts about ratings accumulated over the year. It is actually practically impossible. One could go crazy there :) as many wrote.
Therefore, Dmitry AC begins the discussion of rating systems but projects it ONLY onto the Kanigem tournament. And I don't even understand this yet, because I don't know that he is unaware that both points for the Kanigem Tournament and the General forum player rating from all officials (including Kanigem stages) are calculated using the SAME formulas. The misunderstanding intensifies after Sage enters the dispute and politely and in detail tries to explain the intricacies of this matter to Dmitry AC with good sporting examples (and he has the right to do so, because he started discussions with us a year ago).
And at this moment Dmitry AC simply deceives us and even I didn't immediately catch on to this trick on his part. But I still think he did it unintentionally. He tries to debunk Sage's example of sports pentathlons/decathlons and multi-stage bike races by pushing the idea that there, seconds and meters are the same criteria – while here we have different ones – skeletons, days, experience :) My dear sir, where have you seen different criteria in the stages of the Kanigem Tournament??? :) All stages so far were run ONLY for SPEED (DAYS)!!! And if the organizers keep it up in the same spirit and make such a winner determination criterion in each stage the trademark of the Kanigem tournament, then you simply have nothing more to object with against Sage's examples; and he, by the way, asserts that the bicycle you are trying to invent has long been invented, and the system proposed by me (without considering PLACE) is perfectly suited for calculating points in the Kanigem Tournament to determine winners. But at that moment of the dispute, I overlooked this. And I misunderstood you even more by attributing your words not to the calculation of points in the Kanigem tournament (because there we have seen only one criterion on all stages so far – days for speed – like your meters/seconds – and no skeletons or experience) but attributed your words to the calculation of the General rating for all forum players for all official tournaments, including the stages from the Kanigem Tournament.
Conclusion: Based on the statements of people who have been actively discussing the topic of ratings for a year, I once again come to the conclusion that the formula which does not take into account the place taken is perfectly suited for maintaining General Rating calculations for players on the forum for offline Heroes. Also, this formula (based on examples provided by Sage) is suitable for calculating points from each STAGE in the Kanigem tournament for further determination of the winner, BUT on condition that all TEN stages in this tournament are run SPECIFICALLY for speed (DAYS parameter). Although to be honest, like Sage, I didn't understand why it's specifically impossible to compare different criteria if we bring everything to a common denominator through the leader's result. According to Dmitry AC, this is because a person who took first place fewer times could eventually become the winner by rating. Well, to hell with that – personally, I see nothing scary in this, because on some of the stages, another contender tore apart someone aspiring to be a prize-winner like a dog tears a rag. And if we compare the Kanigem tournament as a multi-stage pentathlon (sounds beautiful :) Five versions of Heroes, two stages each), then Sage showed us that it's enough to break away sharply on one of the stages to become the winner. But it would be more correct not to say "break away" – because the leader at each stage cannot receive MORE than 100 points, but rather call things by their names: a potential leader who is pushed from first place in the overall standings even though they took first places on stages more often - FAILED their own game - for they showed a very poor result relative to the leader on other stages, or didn't show up at all!!!
I can only suggest that Dmitry AC describe his rating system and his system for awarding points to Kanigem Tournament stages and calculate ALL past stages using his formulas (considering the parameter – only place taken) and show us the results of his calculations. If for any reason he does not want or cannot do this at this stage, then the dispute can be closed until better times when he can perform all the necessary calculations to continue the dispute!
But generally, Carthage must be destroyed!!! ;) Everyone should finally understand this :)
After all, both main opponents with whom I began these discussions about ratings agreed with this. AmberSoler was forced and under pressure :), Sage – voluntarily.