The reason honesty can be less informative than silence

Asked whether the audit is complete, the first executive says we are fully confident in our processes. The second says I am not going to comment on that today. The second answer contains information and the first does not, though only one of them declined to answer.

What everyone sees

Speaking is treated as informative and silence as withholding, which follows if the content of a statement is what carries the information. Content is not sufficient. A statement carries information only when a party in a different situation would have said something different, and reassurance fails that test.

What is actually happening

Farrell and Rabin’s treatment of cheap talk establishes the condition: costless messages convey information only when the sender’s incentives make different messages optimal for different types, so a message that every type would send is uninformative regardless of its truth. Grice’s account of conversational implicature supplies the other side: participants assume cooperative contribution, so a departure — including a refusal where an answer was expected — generates an inference about why the expected contribution was not made. Silence is therefore not the absence of a signal. It is a deviation from an expected act, and deviations are informative in a way that expected acts are not.

Why it stays hidden

The inversion hides because the honest statement is honest. Nothing false was said, the speaker is not evading, and their confidence may be entirely justified. The problem is not with the speaker but with the position of the listener, who cannot distinguish a sincere reassurance from an identical one produced under worse facts.