While the Eurodollar system is not open, it is decentralized. Ledgers are run by numerous participants around the world. We can think of this like a number of blockchains. While there is no overriding ledger, each maintains the information that is pertinent to it.
It seems that it's my first time reading a description that the Eurodollar system is decentralized. Interesting analogy.
I think the popular saying "what doesn't kill you makes you stronger" is applicable to cryptocurrency.
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