Business Model Archetypes in
AI Foundation Models
A crisp-set Qualitative Comparative Analysis of N=49 AI foundation model vendors, examining which configurations of market position, integration strategy, and openness are sufficient for commercial viability.
AI Foundation Models
Foundation Models (FMs) are large neural networks trained on broad data at scale and adaptable to a wide range of downstream tasks (Bommasani et al., 2021). Two defining properties distinguish them from narrow AI: emergence—qualitatively new capabilities arising at scale—and homogenization—convergence of diverse AI applications toward a shared representational substrate.
The coexistence and commercial viability of all four categories simultaneously constitutes the central empirical puzzle motivating this study.
Key Finding
Overall consistency = 0.917 · Coverage = 1.000 · N=44 viable vendors
Theoretical Framework — PEMAK
Brousseau & Pénard (2007) identify three platform functions that apply to all digital platforms — and to AI foundation model vendors.
Complementor Engagement (§2.4)
FM vendor viability depends on third-party complementors building on the model. Two distinct mechanisms achieve this threshold.
Key Findings
Equifinality
P1 + P2Two logically independent pathways — Collective Path (~INTEGRATED) and Proprietary Path (MONOPOLY·WIDE) — produce the same outcome of commercial viability through fundamentally distinct causal mechanisms.
Death Zone (n=0)
Structural AbsenceNo vendor achieves INTEGRATED=1 without MONOPOLY=1 or OPEN=1. Full vertical stack ownership without adjacent monopoly cross-subsidy is structurally prohibitive at frontier training costs.
OPEN as Insurance
Necessity (Y=0)13/13 open-weight vendors (OPEN=1) achieved Y=1. OPEN=1 has Cov(Y=1)=1.000: open-weight release is a sufficient insurance against organizational exit in this sample.
No Single Necessary Condition
QCA FindingNo single condition meets the necessity threshold (cons≥0.90) for Y=1, confirming the equifinality hypothesis. Multiple distinct structural configurations achieve viability.
4 Theoretical Contributions
CE Threshold
Grounds FM viability in active 3rd-party adoption. The moment a technology project becomes a business platform.
Ecosystem Generativity Insurance
Open-weight release as structural insurance. 20/20 vendors viable — zero exceptions. Zittrain (2006) operationalized.
Functional Equivalence
FM vendors ARE platforms if they match, assemble, and manage knowledge. PEMAK extends to AI without modification.
Equifinality as Stable Equilibrium
Multiple paths to viability are NOT transitional. Capital constraints + non-fungible network effects sustain the ecology.
Methodology
Citation
Xu, J. (2026). Model of Models: A Configurational Analytical Framework of Business Models for AI Foundation Models. Working paper v6.9.