Good morning Mike,

An observation to be made is that the current "first seen" is more 
incentive-compatible than floating-point Nakamoto consensus.

If a miner A mines a block at height N, then obviously the first block it has 
seen is that block.

If due to propagation delays on the network, another miner B mines an 
alternative block (let us say with more fitness score, regardless of the 
details of the fitness metric you use) at height N, miner A has no incentive to 
reject its own version of that block and mine on top of the miner B alternative 
version, even if floating-point Nakamoto consensus is deployed by most nodes.

Even if the rest of the mining network is now mining on top of the miner B 
version, if miner A chances on another new block at N+1 built on top of its own 
version of block N, then it would still win both blocks and earn the block 
subsidy and fees of two blocks.
And since block height, as I understand it, trumps over floating-point Nakamoto 
consensus, the B version will be reorganized out anyway in that case.
If miner A had switched to mining on top of the miner B block, then if it won 
another block at height N+1, it would have lost the block subsidy+fees of the 
lower-scoring miner A block at height N.


Thus, floating-point Nakamoto consensus is not incentive-compatible, so I doubt 
it would have any kind of adoption.


The problems with stability you mention can be fixed, fairly trivially, by 
simply waiting for 3 confirmations rather than just 1 confirmation.


In a relativistic universe, information cannot propagate faster than 
light-speed, and thus there will always be a communications network delay in 
propagating data.
As I see it, floating-point Nakamoto consensus cannot fix this issue, as it 
cannot change underlying laws of the universe.

If your goal is "stability" of some kind, then there is still always a 
possibility that two miners on opposite sides of the Earth will create blocks 
at the same height outside of the light cones of each other.
In a relativistic universe, this cannot be eliminated unless all miners occupy 
the same physical location, i.e. have centralized in the same mining hardware.

One of those two blocks created will, with high probability, have a lower 
score, and thus any nodes in the light cone of the miner of the lower-scored 
block will still experience a reorg, as they will first see one block, then 
switch to the higher-scored block when it arrives to them.

Thus, floating-point Nakamoto consensus cannot provide complete stability of 
the network, still, as the universe we operate in does not have instantaneous 
information transfer.

A wise designer of automated systems will ***still*** wait for 3 confirmations 
before doing anything, and by then, the effects of floating-point Nakamoto 
consensus will be literally a thing of the past.


Regards,
ZmnSCPxj
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