Yes... Implementing the strength rating into my formula causes significant problems. I'll remove it for now and reconsider.

You should rather think about how to incorporate the number of wins and losses for each player in a given tournament into the planet system. In the planet system, there were no one-on-one battles in a match (tournament). They played as a group throughout the game and, after it ended, determined their rankings based on their victory criteria. Therefore, they didn't need to consider the number of wins and losses in the tournament in their formula. But I think that this coefficient would be useful as an additional criterion in Heroes online. That is, the primary parameter in the formula would be the ranking in the tournament, and the secondary, additional parameter would be the number of wins and losses. This is because there will be two different leaders in two different tournaments who took first place. But someone may have won MORE games in their tournament. The secondary parameter could take this into account (ALTHOUGH IT IS NOT NECESSARY). But this secondary parameter should not have an overwhelming influence compared to the primary parameter.

BUT:
As vbn rightly pointed out, the coefficients of 1000 and 6000.
You can experiment, for example, by taking not 1000, but 100, and not 6000, but 600, and then the numbers will be less dynamic:)
So, it turns out that after the initial rating of 100, players receive
a starting rating, which will then change. That is, the first tournament game already gives an initial capital.:)
What are your thoughts?

But these experiments are not necessary because the figure of 6000 has already been more or less tested by the planet system players. What can be done in this regard? You just need to give everyone a starting capital, either ZERO or 1000. IMHO.