1/ Bitcoin tries to solve integrity / nonrepudiation / authenticity problems. I.e. problems in cryptographic domain.
4/ So, Bitcoin solves cryptographic problems by creating incentives that solve the collective action problem of resource allocation.
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The collective action problem solved is network transmission. Resources aren't allocated in a way that provides a public good.
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I'd argue that anything which facilitates trust is a (critically important) public good.
End of conversation
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