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I understand that I probably shouldn't interfere in a discussion when it concerns my score in the first scenario.
But please, when you plug numbers into a formula, imagine that it's not just some Perpolken or Dirty_Player, but you yourself, and this will affect you in the next scenario.
DmitriyAS, I remember your argument with IronAxe about the ranking. I respect you and your opinion. But I disagree a little here, because in this tournament, points for each stage are calculated based on the leader's result, so the final score should also be calculated based on points (either the sum or the average).
Removing results won't lead to anything good. Vanechka gave a good example. Kyle said it right: "we shouldn't kill the motivation to play." Removing results kills motivation! It gives reason to think whether it's worth submitting a result (what if it's bad?). And it also creates extra work for the organizer.
K0Lb@zzeR says that the sum is evil. In fact, K0Lb@zzeR, your tournament is unique because in it, points are calculated based on the leader's result. And to earn a good sum, it might be enough to complete 3 out of 4 stages. The main thing is to perform as well as possible in your stages, thereby pushing your rivals further back. If there is any evil, it is reduced by your tournament due to the special way of calculating points.
K0Lb@zzeR, when you start counting wins, you deviate from the main principle – calculating points. In a stage, the main thing is not to win, but to complete it in the shortest amount of time.
The mercury and skills gained are a minor thing (just a bonus).
I have already suggested my formula for calculating the score; I think it is the simplest and fairest for everyone.
rating = sum of points earned in completed stages / number of completed stages
Example 1: I played 1000 and 1000, and didn't play the 3rd and 4th. The rating after the first stage is 1000, the 2nd stage (rating2 = 2000/2), after the 3rd stage (rating3 = 2000/3), after the 4th stage (rating4 = 2000/4).
That is, my rating after the 1st stage with 1000 decreased to 500.
Example 2: didn't play, 1000, didn't play, didn't play.
Rating (1st stage) = 0
Rating (2nd stage) = 500
Rating (3rd stage) = 333
Rating (4th stage - final) = 250
Try plugging in the numbers yourself and, if it works, find its flaws.
This rating encourages you to play all stages. Usually, those who compete for a medal play all stages. There is one drawback: if a player misses more than 25% of the scenarios, it will be difficult for him to win, but that would be fair. If you miss one stage, there is still a chance to win; you just need to lower the scores of your opponents more on the stages you play.