I think this is a viable idea and is worth exploring further, Are there any alt coins employing this function yet?
I have been thinking about it for over a year now and see that with Bitcoin by having the early adopters hold a majority of coins helps to preserve the original protocol, as those invested in the system stand to lose the most if it is changed. The result is as the Bitcoin network grows the protocol and clients side use of the network is strengthened by the coins that will remain with the preferred fork.
With the normal distribution model facilitated by a logistic function, early adopters will not hold as much influence in keeping the original intent of the protocol intact, as early majority adopters will hold the most influence.
There are possible alternates like a proof of stake, mining option that could be reworded for maintaining the original blockchain, and can be redeemed/ utilised as a stake to mine, thus regulating mining growth with that of maintaining the growth in bandwidth and storage. (allowing for 2 specialisations: 1) mining coins - 2) maintaining the block chain.
The result is when mining jumps significantly: 1) early adopters can sell their mining options (maintaining the original protocall) 2) the market demand to mine more is held in balance with bandwidth and storage growth. (making it more environmentally viable and allowing for greater decentralised block chain storage.)
Ie. the protocol stake holders are the ones who maintain the block chain. And to do a 51% attack you would have to strengthen the base network, I can imagine preventing modification of the block chain.
What do you mean by behavior? Are you talking about price fluctuation or rate of creation. Rate of creation for bitcoin is incredibly predictable because that is the nature of the algorithm, and if your talking about price, then perhaps, but I would argue that any currency that is rapidly adopted will always be subject to large deflation. – Loourr – 2013-11-18T17:45:25.340
Yes I mean price fluctuation... edited the question accordingly. Well, the large deflation could be minimized by the logistic curve in its middle I think... – Kozuch – 2013-11-18T18:57:01.943