# kaal:claim:6607458-014

**Claim.** The First Welfare Theorem requires a fixed production possibility frontier, so when the frontier is endogenous to generative activity Pareto optimality becomes path-dependent and the theorem's existence proof fails in the computative domain.

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

**Holds when.**

- holds where the production possibility frontier is endogenous to generative activity

**Source quote.**

> The First Welfare Theorem requires a fixed production possibility frontier. When the frontier is endogenous to generative activity, Pareto optimality becomes path-dependent, and the theorem's existence proof fails.

**From.** Wulf A. Kaal, *Computative Economics A Framework for Economic Analysis under Computational Abundance* (2026), IV.C. Opportunity Cost in a Generated Space, page 13

**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.** Welfare Theorem Breakdown  (family: research-design-limitation)

**Topics.** institutional-design

**Keywords.** welfare-theorems, pareto-optimality, path-dependence, production-possibility-frontier

**Canonical form.** This markdown file is the canonical hashed representation of the claim. Its sha256 is the content hash used for attestation.