Let's add small premine and continue the experiment.
Ur turn.
Ok i tried, but there seems to be a problem when all the mined coins go back to owners of premined coins, and we get similar situation as with NxT..
So you were more or less right right after all:) Apart from a messy solution i see nothing else to solve PoS intial distribution problem at the moment.
Here is how it happens with PoS mining.
(1) - Small premine, than for a first block instead of using P2P client do forum/email based selling of initial premine for a fixed/agreed upon price(in BTC, EUR,...), basicly exactly what NxT did, but with a very small amount, for example 10k coins.
(2) - So basicly now we have a NxT blockchain with for example 72 people having coins, but instead of milions of coins, there is only 10k coins.
(3) - We than make a system online, together with a first exchange, and that 72 people make their nodes online and start mining coins with for example 1 coin per block, and increasing over the first 2 weaks(so people have the chance to be first adopters) to lets say 25 coin per block. After that, we use whatever algoritem we want, we can just copy bitcoin halving revard every x blocks, or use whatever we want
(4) - Mined coin gets distributed the same way as transaction fees do in current NxT system(a bigger stakeholder gets more) so a stake holder with 20% of all money would also get 20% of all the new mined coins, meaning we have the same problem as with NxT, initial stakeholder never lose their big share of all money(if they have nodes online, which they do if they smart).
A messy solution: destroying BTC:) or any other cryptocurrency(can be/must be temporary just for initial distribution over few months)
--- a coin that is bought with BTC from a "system" has a bigger cut from mining, acording to date(number of blockchain) it was bought.
--- we use destroying BTC/LTC,.. as a means of creating coins from thin air, we prove destroying and get coins in exchange.