There is some but much less than before Zerocoin, evidenced by the market capitalizations.
What were the conclusions of Nothing-at-Stake?
Regardless, the problem of large stakes threatening a proof-of-stake network is not yet solved.
What were the conclusions of Nothing-at-Stake?
https://bitcointalksearch.org/topic/m.10152632Tl:Dr - nothing to write home about. There have been 2 more papers since these results that are in the thread.
Not many attacks are likely at a $25 million market capitalization, but attacks become profitable as it rises.
No one seems to have solved the history attack; nevertheless, this isn't a problem for the Clotho-Hydra, and it still provides certainty in far shorter time.
Regardless, the problem of large stakes threatening a proof-of-stake network is not yet solved.
Define large. You still seem to imply you think 5% of a stake can damage a network, where are these large stakes in Nxt's POS that you fear so much?
Also:
Regardless, the problem of large mining pools threatening a proof-of-work network is not yet solved.
When an exchange is looted for a large percentage of a Proof-of-Stake cryptocurrency, the risk level for it rises.
This also is not a problem for the Clotho-Hydra.
1) Nxt has rolling decentralized checkpoints so the network won't accept any reorganisation of the blockchain deeper than 720 blocks, let alone the 350,000 blocks needed to carry out a history attack, as defined by Kushti.
2) When nxt was hacked from BTER, they cleared out the account. How much did they get at the height of its popularity? 50million or 5%. Nxters keep their nxt in their own accounts so they can use the asset exchange, digital goods store, encrypted messaging etc. And trading is moving to decentralized options like multigateway and instantdex. So where are the huge concentrations if Nxt that you fear?
I get the feeling I am being trolled in an attempt to promote your vapourware coin..
1) Could you explain how they are decentralized? How is consensus of the 720 figure reached?
2) It doesn't bother me since the Clotho-Hydra doesn't have this problem, but the risk is always there for large holders to cause mischief.
1) It is hard coded into the software not to accept blockchain re-orgs after 720 blocks. It is a simple as that. Once a block has 721 confirmations, it is set in stone.
If someone buys old keys that once controlled 90% of the stake, rebuilds a chain, then broadcast it, it will get rejected as it is asking all the nodes of the network to re-org 350,000+ blocks.
Usually next response is to fork from 719 blocks ago and "build a better chain". Details of how this is achieve are never described as (shown by Kushti's work), so called stake grinding/multi-branch forging tends towards POW as the number of branches grows exponentially in your search for a better chain. So no luck there either.
2) Large holders can cause mischief, but you have evaded every question asking for clarification of large. Nxt doesn't have any large enough holders to cause mischief, which you seem to tacitly agree to. Maybe you should switch your statements to "newly launched POS" where stakes are very concentrated?