Wreckage wrote: ↑21 February 2021, 20:59
Lol, assume they both play the same level of opponent....any level you choose. If they both have victories 75% of the time, the 2p guy will be hundreds ahead of the 5p guy all the way...he's getting 37.5% more ELO for each victory all the way.
There are 2 preconditions:
- One player indeed can keep a very high win ratio if he only plays with rookies.
- Nobody can keep his win ratio in 100% even if he only plays with rookies.
Based on these 2 preconditions, here is the conclusion:
Even if he can keep his win ratio extramely high in the competitions against rookies, such as 99.99%, his ELO still can not forever increase.
Because the rate of increase per win will becomes slower and slower, finally can not offset the 0.01% risk of loss.
So, no matter you play 2p or 5p set, you will finally touch your ELO ceiling sooner or later.
If we only compare their final ELO in a quite long process, and ignore which one increases faster, it is fair.
Another question:
Maybe in your opinion , 2p will always increase ELO faster than 5p? It is also wrong.
Although if we seperate a 5p game into 4 independent games and each single games, we can only gain 62.5%(for each single game) as much ELO for victories as 2p games. But don't forget:
These "4 independent games" are in progress at the same time and don't spend you 4 times brainpower.
62.5% × 4 = 250% > 100%
If the randomness is equal in 2p and 5p, on the contrary, 5p must be faster. 2p should say "no fair" instead of 5p.
For example:
- I am a retailer and you are a wholesaler.
- We both sell the same mineral water.
- We spend equal effort then both made 100 deals every day.
- We both need to pay 25% tax for our profit.
- I earn $1.00 profit for each bottle of water, and I sell 1 bottle per deal.
- You earn only $0.10 profit for each bottle of water, but you sell 100 bottles per deal.
You and me, Who earn money faster?
- 0.1 × 100 × 100 × 75% = 750
Sure I know this example does not fit the reality in <6 nimmt!>, because at least in my opinion:
the randomness of 5p is quite higher than 2p.
So 2 conditions——
- good news: 62.5% × 4 = 250% > 100%, this condition makes 5p increase ELO faster.
- bad news: higher randomness, this condition makes 5p increase ELO slower.
1 good news versus 1 bad news, maintain balance, very fair.
If you still think that the influence of the bad news is bigger than the influence of the good news, and makes it's unfair to 5p. For example you think BGA should change the coefficient 62.5% into 80%.
- I have nothing more to refute, it is the business of BGA. Why not adapt to the environment instead of trying to change it?
- I don't care if BGA makes such a change even if 62.5% → 200%, because finally your ELO will stable in the same zone which fits your ability.
The coefficient, no matter 62.5% or 80% or 200%, can only impact the speed of variation of ELO, but can not impact the highest ELO level you can reach.