I think in reality if PPC is to become a real currency people use to pay daily expenses, then [EDIT] in a percentage sense [/EDIT] not only the rich will get richer and poorer get poorer, but also that determined people who own most PPC will own most of the PPC in the world. I explained it here
http://www.peercointalk.org/index.php?topic=152.msg4987#msg4987 and here
http://www.peercointalk.org/index.php?topic=152.msg5106#msg5106. I update it here again:
Given that
1) POS is generated only by stakes -- the ppercoins in a wallet that haven't moved in 30 days. If we consider compound interest, the POS income rate is slightly higher than 1% per year.
2) PPC are mostly minted by POW today but the goal is that eventually most of peercoins in the world are generated by POS.
3) There is no cap of the total amount of PPC, therefore, there is no limit in how many new POS peercoins will be created.
4) If PPC is to become a real currency which people use their PPC to pay daily expenses, the poorer people tend to have most of their PPCs in curculation, and the richer people can afford to side aside more PPCs as POS generating stakes. Just look around, the poorer poeple have less in their saving account.
We get:
1) Most of the peercoins in the world will go to the POS stake owners.
2) Those who are determined not to spend their PPC will not only receive most of new peercoin in the furture, they will eventually own most of PPC in the future (certainly more than 51%).
3) Those who spend the coins will own less and less percentage of the PPC money in the world. They may or may not be poor in term of purchase power, depending on how well the economy does. But in term how much PPC they own, those who have to spend will loose out slowly but surely. In this sense one can say the rich get richer and the poorer get poorer.
I agree that the POS miners should be compensated for keeping the network secure. But should they autmatically own the world eventually, at not cost and no risk? This is a social question.
Then many have the question who are these poeple who could own the PPC economy? Will they be a few people that could be a weak link in the security of network? The answer appears to be no after some research. Since mint rate of POW is still about 40 times higher than POS now (
http://cryptometer.org/ppcoin_104_week_charts.html ), we are still quite some time away from the point when the POS money supply overwhelms POW money supply. Currenly the total POW minted coins is 2500 times more than that from POS. So there appears enough opportunity to allow spreaded ownership of PPC. Concentration of PPC ownership is probably no worse than POW coins. What I originally said in the last paragraph
here was wrong.
I proposed a solution to this eventual problem here
http://www.peercointalk.org/index.php?topic=152.msg5106#msg5106 , basically by eliminating the 30-day waiting period for discussion.