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> Some central server needs to be the arbiter of randomness

What, no? My hash-based system is entirely random. The only issue is that draws are done with replacement, so two players may both have e.g. six of spades in their hand. This is aesthetically unappealing, but doesn't alter the actual maths of the game. (There are more complex solutions to this, however)

> not to mention being the actual escrow service for the money in the pot

FHE doesn't solve this, since FHE can't actually interface with your bank. Even if it could, I could just log in on my phone or physically walk into a bank branch to freeze my account before I have to pay out, so you still need a solution for the money layer.

> you can trust their generation of the hole cards

You can do trustless generation of hole cards already, as described in my post.




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