# datamodellib > Original summaries of 30+ mental models after Scott E. Page's The Model Thinker — distributions, networks, diffusion, game theory, and dynamics, with interactive labs and free CC/MIT sources. No book text reproduced. ## Docs - [Home](https://datamodellib.vercel.app/): overview, families, REDCAPE framework - [Model Library](https://datamodellib.vercel.app/library): all 33 models across 9 families - [Playbooks](https://datamodellib.vercel.app/playbooks): REDCAPE framework applied to real cases - [Agent Skills](https://datamodellib.vercel.app/skills): drop-in agent skill specs (many-model-selector, redcape-reasoner, distribution-checker) - [API Docs](https://datamodellib.vercel.app/api-docs): public read-only JSON endpoint over the model catalog (GET /api/models) - [Sitemap](https://datamodellib.vercel.app/sitemap.xml) ## Models - [Normal Distribution](https://datamodellib.vercel.app/model/normal): Bell-curve averaging: many small independent effects sum to a predictable center with thin tails. - [Power Law / Long Tail](https://datamodellib.vercel.app/model/power-law): Rich-get-richer: a few huge winners, many tiny players. Straight line on log-log. - [Poisson Arrivals](https://datamodellib.vercel.app/model/poisson): Counts of rare independent events per window: calls, mutations, clicks. - [Linear Regression](https://datamodellib.vercel.app/model/linear-regression): Best-fit line plus a causation audit. A big coefficient is not a big cause. - [Concavity & Diminishing Returns](https://datamodellib.vercel.app/model/concavity): Curved payoffs change optimal bets: diversify when concave, concentrate when convex. - [Categorical & Threshold Models](https://datamodellib.vercel.app/model/categorical): Buckets and cutoffs turn messy attributes into testable if-then rules. - [Schelling Segregation](https://datamodellib.vercel.app/model/schelling): Mild individual preference for similar neighbors aggregates to stark city-wide segregation. - [Granovetter Threshold](https://datamodellib.vercel.app/model/granovetter): Each person has a riot threshold; cascades depend on the distribution, not the average. - [Standing Ovation (Page–Miller)](https://datamodellib.vercel.app/model/standing-ovation): Quality plus sightlines plus personal thresholds explain why crowds stand — or don't. - [Network Structure & Formation](https://datamodellib.vercel.app/model/networks-basic): Degree, clustering, bridges and formation logic predict what flows — and what breaks. - [Preferential Attachment](https://datamodellib.vercel.app/model/preferential): New links favor already-linked nodes, manufacturing power laws from pure growth. - [SIR Contagion](https://datamodellib.vercel.app/model/sir): Susceptible–Infected–Recovered with an R0 tipping point. Same math for flu and pop-star fever. - [Bass Diffusion (S-Curve)](https://datamodellib.vercel.app/model/bass): Innovators plus imitators make the S-curve. Spend early on seeds, later on social proof. - [Percolation / Tipping Points](https://datamodellib.vercel.app/model/percolation): Sparse links suddenly gel into a giant component — bank networks and blackouts tip fast. - [Cellular Automata & Game of Life](https://datamodellib.vercel.app/model/cellular): Tiny local rules aggregate into gliders, blinkers and chaos. Emergence needs no boss. - [Random Walk & Markets](https://datamodellib.vercel.app/model/random-walk): Unpredictable steps accumulate; efficient markets leave mostly randomness behind. - [Markov Chain](https://datamodellib.vercel.app/model/markov): Next state depends only on now. Run it forward to get the long-run mix. - [Polya Urn / Path Dependence](https://datamodellib.vercel.app/model/polya): Early draws rewrite the odds — history locks in QWERTYs, VHSs and dominant cities. - [Lyapunov / Equilibrium](https://datamodellib.vercel.app/model/lyapunov): An energy-like function proves a system settles down — and bounds how fast. - [Exponential & Solow Growth](https://datamodellib.vercel.app/model/growth-solow): Compounding plus capital, labor and ideas explain why some economies stall. - [Capital Share (Piketty-style)](https://datamodellib.vercel.app/model/piketty): When returns on capital outrun growth, wealth concentrates without any villain. - [Prisoner's Dilemma + Cooperation](https://datamodellib.vercel.app/model/prisoners-dilemma): Solo incentives wreck the group; seven routes — repeat, punish, signal, sort — rebuild it. - [Colonel Blotto](https://datamodellib.vercel.app/model/blotto): Split forces across fronts with no pure best move — win by being unpredictable. - [Coordination & Culture](https://datamodellib.vercel.app/model/coordination): Pure coordination games plus memory harden into culture as equilibrium. - [Mechanism Design / Auctions](https://datamodellib.vercel.app/model/mechanism-design): Write rules so truth-telling wins despite hidden actions and hidden information. - [Collective Action & Commons (Ostrom)](https://datamodellib.vercel.app/model/commons): Shared pools survive with boundaries, monitors and graduated sanctions — no panacea. - [Replicator Dynamics (Fisher)](https://datamodellib.vercel.app/model/replicator): Winning strategies reproduce faster; adaptation speed rises with variation. - [Diversity Prediction Theorem](https://datamodellib.vercel.app/model/diversity-prediction): Crowd error equals average error minus diversity. Diverse models beat the lone genius. - [Multi-Armed Bandit](https://datamodellib.vercel.app/model/bandit): Balance pulling the best-known lever against testing new ones. Regret is the score. - [System Dynamics / Feedback Loops](https://datamodellib.vercel.app/model/sysdyn): Stocks, flows and reinforcing loops turn small pushes into addiction spirals or virtuous cycles. - [Central Limit & Six Sigma](https://datamodellib.vercel.app/model/central-limit): Sample averages settle to normal; variation reduction pays until Fisher bites back. - [Decision Trees + Value of Information](https://datamodellib.vercel.app/model/decision-tree): Fold back probabilities; pay for information only if it changes the action. - [Spatial Choice & Aggregation](https://datamodellib.vercel.app/model/spatial-choice): Rational individuals aggregate into irrational crowds — location and order matter. ## Content negotiation Every page above returns Markdown when requested with `Accept: text/markdown` (see acceptmarkdown.com). Unknown paths return HTTP 404 with a Markdown error body under the same header. ## License Site + code MIT. Original syntheses only — no book text or figures reproduced.