Question: Is it okay for Alice and Bob to communicate with each other using a single shared public/private elliptic key pair? Experimentally it seems to work, but does it introduce any security holes? (Beyond the obvious that keys can't be individually deployed and revoked when they are not individually issued.)

Motivation: Alice and Bob are in the same household, they trust each other. They are, um, liberal, Charlie might be joining, too, they will trust him, too. When he does join they would rather not do a bunch of two-way key distribution. Also, there might be more than one instance of Alice (and of Bob and Charlie), and the Alices (and Bobs and Charlies) want to be able to talk to among themselves. They are willing to rekey the entire household if need be. And if later they need more resolution of who trusts whom they can start issuing some unique keys then. But in the meantime, does sharing keys open up any vulnerabilities?

Thanks,

-kb

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