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How is it more costly under proof of stake? With proof of work, you need to own our control mining equipment and power. With proof of stake you can launch unlimited virtual machines and simply buy ETH.

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Is "simply buying ETH" meant to be a cheap thing to do? Currently you need to buy tens of billions of it.

And you can only attack once because then your ETH would get slashed (read: deleted) and you'd be kicked out of the active validator set (as per the rules of the protocol).

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