# Arrow debreu

`kaal:entity:arrow-debreu`

**Status.** derived

This node is assembled mechanically from the 4 claims that carry the concept tag `arrow-debreu`. 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

4 claims across 3 works, 2025 to 2026.

**2025**

- [5886442-021](https://wulfkaal.github.io/claims/5886442-021) [mechanism/argued] -- Contingent claims completeness becomes achievable in the agentic economy because agents generate, evaluate and execute state contingent agreements across astronomically large state spaces in real time, thereby creating complete markets endogenously.
  > contingent-claims completeness becomes achievable. Where humans cannot specify contracts for every future state, AI2AI agents can generate, evaluate, and execute state-contingent agreements across astronomically large state spaces in real time, effectively creating complete markets endogenously
  Wulf A. Kaal, The AI-to-AI Economy and the Collapse of Anthropocentric Economic Theory (2025). SSRN: https://ssrn.com/abstract=5886442

**2026**

- [6421319-026](https://wulfkaal.github.io/claims/6421319-026) [mechanism/argued] -- Arrow Debreu market completeness ceases to be a theoretical construct and becomes operational reality, because AI agents can generate, evaluate, and execute state contingent agreements across astronomically large state spaces in real time.
  > Where humans cannot specify contracts for every future state, AI2AI agents can generate, evaluate, and execute state-contingent agreements across astronomically large state spaces in real time, effectively creating complete markets endogenously.
  Wulf A. Kaal, The Collapse of Scarcity Economics (2026). SSRN: https://ssrn.com/abstract=6421319
- [6607458-001](https://wulfkaal.github.io/claims/6607458-001) [failure/argued] *(failure mode)* -- Because agents generate the set of producible outputs rather than selecting from a fixed commodity space, the commodity space over which the Arrow-Debreu existence theorem operates becomes endogenous, and that theorem does not extend mechanically to computative settings.
  > The formal consequence is that the commodity space on which the classical existence theorem operates becomes endogenous to agents' generative activity. The classical existence theorem does not extend mechanically to this setting.
  Wulf A. Kaal, Computative Economics A Framework for Economic Analysis under Computational Abundance (2026). SSRN: https://ssrn.com/abstract=6607458
- [6607458-024](https://wulfkaal.github.io/claims/6607458-024) [mechanism/argued] -- Where the contraction condition holds, the computative framework delivers a stronger equilibrium result than the Arrow-Debreu theorem, which asserts existence but yields neither uniqueness without added monotonicity assumptions nor a constructive convergent procedure.
  > Where the condition holds, Computative Economics delivers a stronger equilibrium result than the Arrow-Debreu existence theorem: the latter asserts existence but does not deliver uniqueness without additional monotonicity assumptions and does not deliver a constructive convergent procedure.
  Wulf A. Kaal, Computative Economics A Framework for Economic Analysis under Computational Abundance (2026). SSRN: https://ssrn.com/abstract=6607458

## Verify

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

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