kaal:claim:6655138-032

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.

Source quote, verbatim

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.

From

Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026), VIII.C Implementation invariants, INV5, p. 22
https://ssrn.com/abstract=6655138 · source PDF

Cite as

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

Holds when

architectures with an isolated cross-surface reflection surface

Classification

failuresupport: arguedfailure: Reflection layer dominancefamily: reputation-system-gaminginstitutional-design

Related claims

extends kaal:claim:6607458-023 Proposition 2: if the composite best-response map is a contraction under an appropriate metric, the recursive ...

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