# Inv5

`kaal:entity:inv5`

**Status.** derived

This node is assembled mechanically from the 2 claims that carry the concept tag `inv5`. It is a roster of what the corpus says under this term. It is **not** an adjudicated definition: no single statement here has been ruled canonical, and no first-appearance call has been made. Read the claims and judge for yourself.

## Every claim under this term

2 claims across 1 works, 2026 to 2026.

**2026**

- [6655138-022](https://wulfkaal.github.io/claims/6655138-022) [design/argued] *(failure mode)* -- Reflection reputation must be bounded above as a fraction of total agent reputation, otherwise a meta-reputation aristocracy emerges in which agents specialize entirely in reflecting on others' allocations without contributing to the first-order surfaces.
  > Third, Σ_R reputation REP_R is bounded above as a fraction of total agent reputation by INV5, preventing the emergence of a meta-reputation aristocracy in which agents specialize entirely in reflecting on others' allocations without contributing to the prior five surfaces.
  Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138
- [6655138-032](https://wulfkaal.github.io/claims/6655138-032) [failure/argued] *(failure mode)* -- Without the reflection-mass invariant, the reflection layer can grow to dominate the first-order surfaces it is meant to reflect on, and the contraction property of the composite best-response map is lost.
  > Without INV5, the reflection layer can grow to dominate the first-order surfaces it is meant to reflect on, and the contraction property of Ψ is lost.
  Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138

## Verify

Every claim above resolves to a record carrying a verbatim source quote, the sha256 of the source PDF, and a preformatted citation. Nothing here asks to be taken on trust.

    curl -s https://wulfkaal.github.io/entities/inv5.md | sha256sum

**Canonical form.** This markdown file is the canonical hashed representation of this entity node. Its sha256 is the content hash.