Can selfish mining work with a leaky pool?

I'm trying to work through an attack scenario (say 20 years in the future when block rewards and fees may be more comparable). A miner with say 10% of the hashrate would like invite others to help him selfish mine. Opening up to a pool presents a problem: If the pool is open to anyone, it becomes nearly impossible to mine blocks in secret, so you wouldn't be able to "build a lead" in secret.

However, my understanding is that you could design a pool protocol so that you are sending many templates to many miners, in a way that only the miner who found the block knows which transactions are contained in it (This miner is quieted with a small bribe.) Then the subsequent template which you send out contains only the hash of the block. The other miners in the pool can see a new block is found, they are free to broadcast the hash of the block to honest miners. Now non-selfish miners are have a set of options:

  1. Mine empty blocks including the hash of the secret block,

  2. Try to guess what transactions have been included in the hidden blocks

  3. Ignore the information entirely and try to build a block at the same height

  4. Stop mining until clarity is present.

Note that 3) defaults to classic selfish mining. In the presence a significant fees 1) can be a very stiff penalty. (Note the miner could use his 10% "trusted" hashrate to try to stuff blocks with high value transactions, building these on an actually secret chain)

I'm thinking of working on the Markov computations with some parameters, but before I thought I would ask if there is a known analysis of this style of attack and if my technical understanding is correct.



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