So, when i left the game, like 2 years ago, they just reworked the s rank system but i never understood it fully…
Since I noticed that i lost 10 position overnight, i was wondering, considering that i cannot play on the weekend (wife, kid etc etc), that is the month end, is it even worth trying to stay on the top 50, or even if should i reach (highly doubt it) #1, with 2 days of inactivity you go back to the last position? 
Pretty sure it’s just people climbing over you, In my experience it’s more of a problem in the lower half of the top 50, and once you get into top 10 you have a little bit more breathing room before 10 people take the wins necessary to nab your spot.
Yeah but this is what i dont understand how it works how much can people climb over you just by your inactivity?
well, that’s not a hard question to answer
DISCLAIMER: this is just my crappy understanding of the system.
In the back end it’s some kind of MMR/elo system, different developers will do it differently to fit their game, but it’s the same sort of concept. If you play 3 games and win 2 you will probably gain some MMR, enough to now have more than someone who was previously above you, so you go up ladder position (unless you are at the very very top, in which case you have probably fallen).
Now if you don’t play for 24 hours and a bunch of people close below you play some games, and they win more than they lose they will encounter the same, and can overtake you. If you don’t think 10 people could do that I don’t know how more to explain.
You can easily see this yourself, look at your position, play & win a game, you went up and the person who was above you is now in a lower spot, it’s easy to play and win more than you lose, and when you do someone’s gonna fall. If most people play a game or two a day then it’s just obvious that they will climb over time, inactive players will drop.
In other words, the ‘total’ MMR of the top 50 goes up over time. Anyone can be S1 if they win enough games in the first days of the season, but as the season progresses the MMR required to be in that spot will go up, as you need to have higher MMR to take it. This is also true for the bottom spot, and every spot in between (on average anyway). Enjoy my crappy graph:
Confirming this is the case
Thanks for the explanation and for the OP graph 
It took 8 days of inactivity for me to drop 4 ranks, so can confirm there is likely no decay.
mmm i was quite sure i lost like 10 position just by sleeping, that must be my bad memory then.
I see they still did not “fix” the fact that you sometime LOSE positions when you win (ok i get that you may not get positions if you are ranked with gold division and such, but at least if I win let me keep the rank QQ)
It is possible to go down 10 positions overnight if you are anywhere below top 20. On rare occasions you will actually go up a few points without playing.
The bug where you “lose” rank is actually a bug where when you enter battle it shows the rank you had when you finished your previous match instead of your true rank (which is shown correctly only on your profile). If you fell down a bit since you last played or your opponent gives you very little mmr you will get the impression of “losing” rank after a win, even though in fact you didn’t.
I do believe there is both, but decay is not a large factor and can be prevented with a single game a day. Many people may not notice the decay as your profile number wont usually change until you play a game, but if you check one of the constantly updated ladder systems you will see your position has changed even if your profile does not show it, and even if the players that would have passed you are not online.
Beyond that point I think everyone else is spot on but I do believe we do not know the exact system they use we just have a rough idea.
There are also some weird things that happen like this:
That’s actually just a visual bug. The rank you see when you enter the game is just the last rank it remembers you being at. If you check your profile before your first game of the day you’ll notice that it’s actually sometimes different from when you start your first game. The number you see on your profile is your actual rank where the number at the start of the game is just the last rank you held when you finished playing the last match you played.
When you enter the game?I’m referring to the end of the battle, when you see the position switching. Is that number the same as the one you are referring to?
When you enter a game it shows your rank next to your name. That number is also the same as the number you “start” at when your rank updates at the end of the game. Both of these are different from the number in your profile before you play any games and the number in the profile is your actual true starting rank.
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