Join a pool does not improve your forging income, but has a huge risk to lose all your Nxt. Why not just keep your own computer/VPS on? Therefore, apparently no one will join a pool like this. It's completely different from PoW pool mining where you don't need to risk anything other than the hashing power for one day or even just one hour.
The algorithm of forging is constructed such way so:
p=P-1/4*P2
Where P - is probability to forge block with some amount and p - is probability to forge block with the same amount but split to 2 wallet.
For the small amount different is very small. But for big it's not so small.
For example if we have wallet with about 200 000 000 NXT it's change of forge about 20%. If we split amount for two wallets with 100 000 000 NXT on each our chance became 19%
p = 0,2 - 1/4*0,04 = 0,19
Converse statement is also true. If we union two wallets with individual chance 9,5% of forge we increase their total chance. It became 20%. We can continue.
First column number of wallets we store NXT. Second - total chance to forge block. Third chance of each wallet to forge block.
| 1 | 20,0000% | 20,0000% |
| 2 | 19,0000% | 9,5000% |
| 4 | 18,0975% | 4,5244% |
| 8 | 17,2787% | 2,1598% |
| 16 | 16,5323% | 1,0333% |
| 32 | 15,8490% | 0,4953% |
| 64 | 15,2210% | 0,2378% |
| 128 | 14,6418% | 0,1144% |
| 256 | 14,1059% | 0,0551% |
| 512 | 13,6084% | 0,0266% |
| 1024 | 13,1455% | 0,0128% |
So if we has 1000 persons with 200 000 NXT each, when they unite to the pool they increase their income by a half!
But here we look in to very big pool. If pool power will bee 50 000 000 NXT. It will increase income of member with 50 000 NXT about 12%
