# kaal:claim:6655138-030

**Claim.** Aggregate reflection reputation must be upper-bounded across the population, because without that bound the reflection-surface validator pool drifts toward agents whose own reputation is dominated by reflection rather than action, and the cross-surface counterfactual evaluations the surface depends on lose their grounding.

**Type.** condition  **Support.** argued

**Holds when.**

- architectures with an isolated cross-surface reflection surface

**Source quote.**

> Without AC5, the validator pool on Σ_R can drift toward agents whose own reputation is dominated by reflection rather than action, and the cross-surface counterfactual evaluations the surface depends on lose their grounding.

**From.** Wulf A. Kaal, *Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems* (2026), VII.D Architectural conditions for fixed-point existence, AC5, page 21

**Cite as.** Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138

**Verify.** sha256 of source PDF `52cb210167f06f0c7a2581214b156326216543de80b8394320b629c045c9e214` at https://raw.githubusercontent.com/wulfkaal/Academic-Papers/main/papers/pdf/Kaal%20-%202026%20-%20Possibility%20Loops%20An%20Operational%20Architecture%20for%20Computative%20Economics%20in%20Agent%20Coordination%20Systems.pdf

**Failure mode.** Ungrounded reflection validators  (family: reputation-system-gaming)

**Topics.** consensus-and-security, economics

**Keywords.** ac5, reflection-mass, validator-pool, counterfactual-evaluation

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