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Eniac comments on Linked decisions an a "nice" solution for the Fermi paradox - Less Wrong Discussion
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Absent FTL communication, it is hard to imagine a scenario in which any central control remains after civilization has spread to more than a few stars. There would be no stopping the expansion after that, so the first explanation is unlikely.
A civilization whose area of expansion includes our own solar system would be perceivable by many means other than radio, so the second explanation is really not relevant.
That leaves the third as the most likely explanation, I am afraid.
Each expansion part is led by an AI with a shared utility function, and a specified way of resolving negotiations.
I don't see how this amounts to central control. At best it is parallel predetermination, but that breaks down because the actions of the AI are determined by the environment, not the utility function alone. Central control implies two-way communication and is impractical when the latency is measured in decades.