# kaal:claim:7456999-045

**Claim.** Equation 5 is a mutual-information identity rather than a Fisher-information decomposition, so the Fisher question does not follow from it.

**Type.** methodological  **Support.** argued

**Holds when.**

- interpretation of equation 5

**Source quote.**

> Equation (5) is a mutual-information identity. It is not a Fisher-information decomposition. The open empirical question in Part IV.B concerns Fisher information, a different object, and does not follow from (5).

**From.** Wulf A. Kaal, *Reinforcement Learning from Reputation Feedback* (2026), III.D.3 Information-Theoretic Decomposition of the Signal, page 15

**Cite as.** Wulf A. Kaal, Reinforcement Learning from Reputation Feedback (2026). SSRN: https://ssrn.com/abstract=7456999

**Verify.** sha256 of source PDF `01016fbbcc25cad205cebd59ea686d8dfee8ae9b632095d86ba6c9a900456a4b` at https://raw.githubusercontent.com/wulfkaal/Academic-Papers/main/papers/pdf/Kaal%20-%202026%20-%20Reinforcement%20Learning%20from%20Reputation%20Feedback.pdf

**Topics.** research-methods, ai-and-agents, economics

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