Product-Market Fit & Adoption Dynamics

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Abstractions about how products gain market traction, including product-market and problem-solution fit, adoption-curve gaps like crossing the chasm, competitive location models like Hotelling's law, and loyalty effects like the service recovery paradox.

8 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Crossing the Chasm — Geoffrey Moore's refinement of the diffusion curve: adoption stalls at a structural gap between early adopters and the early majority because the two populations differ in kind — so a product must be re-architected and reference-backed, not just re-marketed, to cross.
• Hotelling's Law — The result that two share-maximizing suppliers competing for uniformly distributed consumers who patronize the nearest provider converge on minimum differentiation — both clustering at the median — a share-maximizing yet welfare-minimizing equilibrium whose predictions shift in signed directions as its base-case assumptions are relaxed.
• Problem-Solution Fit — The lean-startup gate that demands cheap, need-side evidence — a real, important problem for an identified user, and a solution preferred over their current workaround — before committing to build at scale, guarding against 'build it and they will come.'
• Product-Market Fit — Diagnose whether a venture is ready to scale by reading pull rather than push — a reachable audience actively retaining, referring, and paying for a product that beats their current alternative, rather than the producer forcing adoption through spend.
• Reilly's law of retail gravitation — A gravity-model law predicting retail catchment breakpoints from center size and distance.
• Service Recovery Paradox — The contingent finding that a customer who suffers an isolated failure and then receives a rapid, generous, authentic recovery can end up more satisfied than one who had no failure — because a smooth transaction is diagnostically poor while a costly recovery signals competence and care the baseline could not.
• Snob Effect — The demand pattern in which a consumer segment values a good more when fewer others own it — a negative prevalence term in utility that decomposes the good into a fixed use-value and a prevalence-dependent rarity signal.
• Validated Learning — Denominate an early-stage venture's progress in a single currency — behavioural evidence from real customers that moves a specific hypothesis — and gate every candidate sign of progress through an admissible-evidence filter that discounts activity, vanity metrics, and stated intentions.