# kaal:claim:6607458-001

**Claim.** 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.

**Type.** failure  **Support.** argued

**Holds when.**

- applies where outputs are generated by agents whose binding constraint is computational

**Source quote.**

> 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.

**From.** Wulf A. Kaal, *Computative Economics A Framework for Economic Analysis under Computational Abundance* (2026), I. Introduction, page 2

**Cite as.** Wulf A. Kaal, Computative Economics A Framework for Economic Analysis under Computational Abundance (2026). SSRN: https://ssrn.com/abstract=6607458

**Verify.** sha256 of source PDF `75cca35350378eb8904866d068b5d2f3e1504629e6031457ce6c12152a88e3e8` at https://raw.githubusercontent.com/wulfkaal/Academic-Papers/main/papers/pdf/Kaal%20-%202026%20-%20Computative%20Economics%20A%20Framework%20for%20Economic%20Analysis%20under%20Computational%20Abundance.pdf

**Failure mode.** Non-Extension of Classical Existence  (family: research-design-limitation)

**Topics.** economics

**Keywords.** arrow-debreu, commodity-space, endogenous-possibility-space, existence-theorem, general-equilibrium

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