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Ok, but the honest consensus is not made by >1/2 majority. Consensus in permissioned systems is made by at least 2/3! In Steems dPOS-BFT it is the longest chain rule, where the last irreversible block (LIP) is the block where >2/3< of the Witnesses have jumped on. With up to 1/3 byzantine Nodes you can "only" create a minority fork. In a round-robin scheduling like Steem where a block is added every 3 seconds (which is dertermined by network delay/speed of light) a malicious 1/3 minority can only add blocks every 9 seconds to their "wrong" chain, while the 2/3 honest majority adds blocks still every 6 seconds. When you get more than 1/3 it becomes undecidable. This is why the security assumption of permitted chains is [(n-1)/3] or in other terms for f faulty nodes you need 3 f + 1 aka >2/3+1< honest nodes.

So there is no 51% attack vector when you can violate the correctness with only >33%. When 51% of the stake can vote more than 1/3, then this is a dumb design decision and not a 51%-attack. The 51%-attack vector in open=asynchronous systems like Bitcoin is due to the laws of physics (Fisher-Lynch-Peterson Impossibility Theorem). When you want a synchronized system which is not subject to the FLP-problem you need a fixed direct or indirect quorum like Steem or Eos but then you have no >1/2 anonymous majority election.

Thanks for the explanations. That was quite enlightening and I learned something new. 👍

However, I'm more worried about the ability to make hard and soft forks and therefore change the rules. Including the rules you just explained.

The very real attack which we just had — twice. First the old witnesses locking @justinsunsteemit's funds. That was a bit hasty.

And then Justin by retaliating by taking over the whole chain with sock puppet witnesses. Which is even worse. And makes me wonder if I should retract me delegations and prepare for power down. Because if Justin gets his way and becomes “benevolent blockchain dictator for 6 weeks” I don't think I don't want to stay.

We all know how those “benevolent dictatorships” end each and every time.

We all know how those “benevolent dictatorships” end each and every time.

yeah true the community has to react anyways. We are not here for centralisation. 👍