3 Pilgrim LLC | Toward a Structural Model of Relationship Compatibility | Version 1.0 · February 5, 2026

Toward a Structural Model of Relationship Compatibility

A Companion Explainer

3 Pilgrim LLC

Version 1.0 · February 5, 2026

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1) Why This Paper Exists

We set out to answer a simple but rarely formalized question:
What makes a relationship between people structurally stable—and can that be modeled?

Most relationship frameworks focus on feelings, communication styles, or personality labels. Those tools can be useful, but they struggle in high-stakes domains: marriage, co-founding, shared finances, and children. In those settings, decisions are irreversible, constraints are real, and failure has long-term costs.

Our goal was to treat these relationships as systems. That means thinking in terms of constraints, operating modes, design choices, and predictable failure patterns—much like engineering problems. The aim is not to replace emotion, but to define a small set of structural primitives that researchers, clinicians, or AI systems can build on.


2) What the Paper Says (Plain Language Summary)

Many relationships fail because ERM is used to make LRM-level commitments—contracts, finances, children, legal bonds. Choosing a shared future using the wrong “operating system” is the most common and predictable failure mode.


3) What Distinguishes This Framework From Existing Approaches


4) Theoretical Implications (Assuming the Work Is Correct)


5) Potential Implications (Downstream, Not Predictions)