VoI admission test for MACIDs

[sbenthall]

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Describe the solution you'd like
The test for VoI admission currently does not work for multi-agent games.

pycid/pycid/analyze/value_of_information.py

Lines 17 to 20 in 5f78703

	if len(cid.agents) > 1:
	raise ValueError(
	f"This CID has {len(cid.agents)} agents. This incentive is currently only valid for CIDs with one agent."
	)

It would be nice if this test also worked for models with more than one agent.

[RyanCarey]

Yes, this is a very desirable feature. However, I don't know any good algorithm to compute that quantity [edit: this should've said "to evaluate admissibility"] in a multi-agent setting. Unless there's a paper I don't know about, this will have to wait for us to do more theoretical research before we can build it.

[sbenthall]

Is the admissibility criterion the same?

[RyanCarey]

I think that might depend 1) how we define VoI, 2) whether you include the ways that your policy might affect others policy, and 3) what rationality assumptions we place on the other agents. The answer will be yes for some answers to (1-3), but I'm not sure how we should answer such questions. Sorry if that's not a clear answer.

[sbenthall]

Thank you -- I see now that the question is not entirely well-formed.