# Recursive equilibrium

`kaal:entity:recursive-equilibrium`

**Status.** derived

This node is assembled mechanically from the 6 claims that carry the concept tag `recursive-equilibrium`. 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

6 claims across 2 works, 2026 to 2026.

**2026**

- [6607458-002](https://wulfkaal.github.io/claims/6607458-002) [mechanism/argued] -- Generalizing equilibrium existence to endogenous possibility spaces yields a different equilibrium object, a profile of generation functions rather than a price vector and allocation, different coordinating signals, and a different locus for opportunity cost.
  > it produces a different equilibrium object (a profile of generation functions rather than a price vector and allocation), different coordinating signals (a composite of price, reputation, and verified generative capacity rather than price alone)
  Wulf A. Kaal, Computative Economics A Framework for Economic Analysis under Computational Abundance (2026). SSRN: https://ssrn.com/abstract=6607458
- [6607458-021](https://wulfkaal.github.io/claims/6607458-021) [definitional/argued] -- A recursive equilibrium is a profile of generation functions and allocations satisfying individual optimality and model consistency simultaneously; it is recursive because the model-update operator feeds back into generation, allocation, and outputs, and the equilibrium is the fixed point of that recursion.
  > The equilibrium is recursive because Φ feeds back into G_i, which feeds back into a, which feeds back into outputs, which feed back into Φ. The equilibrium is the fixed point of this recursion.
  Wulf A. Kaal, Computative Economics A Framework for Economic Analysis under Computational Abundance (2026). SSRN: https://ssrn.com/abstract=6607458
- [6607458-022](https://wulfkaal.github.io/claims/6607458-022) [condition/argued] -- Proposition 1: if the spaces of generation functions and domain models are nonempty, compact, and convex, and the individual optimization and model-update operators are continuous, then a recursive equilibrium exists by the Brouwer fixed-point theorem.
  > Proposition 1 (Existence). Let the space of generation functions G_i and domain models M_i admit topologies under which they are nonempty, compact, and convex. Suppose the individual optimization operator and the model-update operator are both continuous. Then a recursive equilibrium exists.
  Wulf A. Kaal, Computative Economics A Framework for Economic Analysis under Computational Abundance (2026). SSRN: https://ssrn.com/abstract=6607458
- [6607458-038](https://wulfkaal.github.io/claims/6607458-038) [definitional/argued] -- Computative Economics is not a generalization of digital platform economics, because platform economics extends Neoclassical Economics while remaining within its primitives, whereas the computative primitives differ and the equilibrium concept is recursive rather than competitive.
  > Computative Economics is not a generalization of platform economics. Its primitives differ. A computative agent is not a platform user in the platform-economic sense, and the equilibrium concept is recursive rather than competitive.
  Wulf A. Kaal, Computative Economics A Framework for Economic Analysis under Computational Abundance (2026). SSRN: https://ssrn.com/abstract=6607458
- [6655138-018](https://wulfkaal.github.io/claims/6655138-018) [definitional/argued] -- Recursive equilibrium under Computative Economics is not static equilibrium but equilibrium over the dynamics of generation, with the fixed point located in the rate and structure of action-set expansion rather than in a stationary action set.
  > Recursive equilibrium under Computative Economics is not equilibrium in the static sense. It is equilibrium over the dynamics of generation. The fixed point is in the rate and structure of action-set expansion, not in a stationary action set.
  Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138
- [6655138-031](https://wulfkaal.github.io/claims/6655138-031) [condition/argued] -- An implementation that respects the five implementation invariants inherits the recursive equilibrium guarantees of the foundational framework, and an implementation that does not is, in the strict sense, not an implementation of Computative Economics.
  > An implementation that respects the five invariants inherits the recursive equilibrium guarantees of the foundational framework. An implementation that does not is, in the strict sense, not an implementation of Computative Economics.
  Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138

## Verify

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

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