I don't get your idea, or I get it. I don't know.
Instead of leasing forge power, you commit with your account to share fees among others in the same "share fee group" if you forge a node. You still try to forge a block on your own, but you commit to share the incentive with others if you are successful (with special conditions like committing to run the node for some time, ...). Could this be done with AT and would that make sense?
there really isnt much point in this mechanism. what you are describing is basically a rube goldberg contraption that produces the exact result of current NXT account/network forging
not exactly see you in maths
leasing forging power of a account to another account to create pools1.000.000.000 Nxt Coin
100.000 Nxt Coin per pool
John account 90.000 Nxt 0 Node participate in forging
Mary account 9.900 Nxt 0 Node participate in forging
Bob account 100 Nxt 0 Node participate in forging
Total pool 100.000 Nxt 1 Node paticipate in forging
Total 1 Node participate in forging
Chance to forge 0,0001
rate forging 1440 blocs per day
52,6 Blocs per year
aprox 1 Bloc per week
1.000.000.000 Nxt Coin
100.000 Nxt Coin per pool
10.000 Node participate in forging
share fee group1.000.000.000 Nxt Coin
100.000 Nxt Coin per pool (share fee group)
John account 90.000 Nxt 1 Node participate in forging
Mary account 9.900 Nxt 1 Node participate in forging
Bob account 100 Nxt 1 Node participate in forging
Total pool (share fee group) 100.000 Nxt
Total Nodes 3 Node participate in forging
Chance to forge 0,0001
rate forging 1440 blocs per day
52,6 Blocs per year
aprox 1 Bloc per week
1.000.000.000 Nxt Coin
100.000 Nxt Coin per pool (share fee group)
30.000 Nodes participate in forging. if there are only three accounts linked per pool (share fee group)
I am wrong?
I suppose 30,000 nodes are sufficient to ensure the network
Now imagine if I am correct with 1,000,000 Nxt coins pools (share fee group)
1.000.000.000 Nxt Coin
1.000.000 Nxt Coin per pool (share fee group)
10 accounts 90.000 Nxt 10 Node participate in forging
10 accounts 9.900 Nxt 10 Node participate in forging
10 accounts 100 Nxt 10 Node participate in forging
Total pool (share fee group) 1.000.000 Nxt
Total 30 Nodes participate in forging
Chance to forge 0,001
rate forging 1440 blocs per day
526 Blocs per year
aprox 1,44 Blocs per day. 100 Nxt account is forging every day. receives fees in proportion to their funds every day!!!
1.000.000.000 Nxt Coin
1.000.000 Nxt Coin per pool (share fee group)
30.000 Nodes participate in forging. if there are only 30 accounts linked per pool (share fee group)
this means;
Extremely decentralized network (in the exemple 30.000 Nodes) Small accounts motivated to participate in forging (In the exemple 100 Nxt account is forging every day)
You just have to solve for the fees to be sufficiently attractive.
An interesting idea is to pay for other things like leased computing power
Other interesting idea is to pay for other things like leased memory storage capacity