# Ac2

`kaal:entity:ac2`

**Status.** derived

This node is assembled mechanically from the 2 claims that carry the concept tag `ac2`. 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**

- [6655138-027](https://wulfkaal.github.io/claims/6655138-027) [condition/argued] *(failure mode)* -- Reputation update functions on each surface must be continuous in the validation pool's resolution outcome, because discontinuities in reputation update destroy continuity of best-response correspondences and preclude application of Brouwer's fixed-point theorem.
  > The reputation update functions on each surface are continuous in the validation pool's resolution outcome. Discontinuities in reputation update destroy continuity of best-response correspondences and preclude application of Brouwer.
  Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138
- [6655138-034](https://wulfkaal.github.io/claims/6655138-034) [failure/argued] *(failure mode)* -- Collapsing two distinct generative components into a single loop forces aggregation of distinct quality signals into one reputation scalar, which violates the continuity condition because the aggregate function is not Lipschitz in components whose resolution outcomes have different scales.
  > Collapsing two distinct generative components into a single loop forces aggregation of distinct quality signals into a single reputation scalar, which violates the continuity condition AC2 because the aggregate function is not Lipschitz in the underlying components
  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/ac2.md | sha256sum

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