QUESTION-003: For a family of communicative decisions, what is the minimum information rate at which a translation preserves decision performance within a tolerance?

Why it is a question

A110 §IX.2: “For a family Q of communicative decisions, what is the minimum information rate required to preserve decision performance within a tolerance? This is a context-indexed pragmatic rate–distortion problem.” A86 §10 had named it first: “compression preserving a chosen family of decision problems”.

Where it stands

The manuscript §5 has the ingredients: the rate–distortion function, Blackwell comparison restricted to a family Q, and decoder side information (CLAIM-050). It does not ask for the rate. The audience-dependent version is QUESTION-020.

Note of 2026-10-11: material in the record that may bear on this

A synthesis review of 2026-10-11 found these entries bearing on this question without being linked to it. Each is listed for what its title says; none has yet been assessed as an answer, and none is linked by answers.

• CLAIM-092: Translation can be posed as a context-indexed information bottleneck: compress the source while preserving…
• THEORY-161: In the semantic rate–distortion frameworks of 2021–2025, meaning is a latent variable with a known joint…
• THEORY-163: The colour-naming systems of the world’s languages lie near the information-bottleneck bound for…