The fundamental problem that needs to be solved is voting power allocation. You have a group of people that wants to use a cryptocurrency and you want to allow everyone to voice his opinion about what transaction are valid and should be recorded and which are not so that you can determine the consensus. Your first problem is to decide who gets to vote. Does everyone get to vote or do you have to participate in the sy…
> For the example of proof of work the assumption is that every human can own and dedicate about the same amount of computing power. I'm not aware of anybody proposing that bitcoin would be a democratic protocol. There were other proposals that were intended to be democratic, but this was explicitly rejected for bitcoin. You might say that bitcoin was intended to be computationally secure against democracy itself. >…
Bitcoin is intended to not have trusted parties. If the mining is done by relatively few parties they become trusted parties. This would not have been an issue if the mining power had remained more evenly spread across all users but it got concentrated in the hands of relatively few.
[...] but this was explicitly rejected for bitcoin.
How was this explicitly rejected? I think the original paper does not really address this but I always assumed that the original intention was to have a large fraction of Bitcoin users also be miners and the concentration that happened was an unforseen development. But maybe that is just my personal interpretation but I maintain that this is at least to some extend in conflict with Bitcoin wanting to be trustless.
Not really. It's on the basis of cost.
No, the miners already have all the hashing power. I have to trust them to include my transactions in blocks and not ignore them, I have to trust them not to undo transactions. If the Bitcoin mining power was more evenly spread among Bitcoin users this would be less of an issue than in the current situation where all the mining power is concentrated in about ten mining pools. Sure, pools are not miners but if the reported numbers are correct than there were at least in the past mining farms owning several percent of the mining power.