Indexing the archive…
Your Universe of Digital Possibilities
Fill a grid with two kinds of agent and one rule: each is content unless it becomes a small minority on its own block — happy with as few as three like-neighbours in ten. Nobody here is a separatist. And yet, left to shuffle the unhappy into empty spaces, the mixed field never holds: it curdles into large single-colour enclaves, sharp-edged and stable. The macro-pattern is nothing any agent wanted — Schelling’s lesson that micromotives and macrobehavior are not the same thing.
An agent stays put if at least a fraction τ of its occupied neighbours share its colour, else it moves to a random empty cell. That is the whole rule — no agent wants segregation, each only dislikes being a small local minority.
The mean like-neighbour fraction across all agents — the order parameter. A random mix sits near 0.5; run the rule with τ as low as 0.3 and s climbs past 0.8, the grid coarsening into single-colour domains exactly like The Threshold’s magnet.
The same logic beyond space: each person joins in once enough others have. Whether a crowd tips depends on the distribution of thresholds, not the average — one stubborn holdout can stall a cascade a lower-threshold crowd would ignite.
No agent in this grid wants segregation; each only prefers not to be a small local minority — and yet a tolerance as generous as three-in-ten tips the whole city into single-colour domains that coarsen exactly like the magnetic order of The Threshold (INST·04) and the clusters of The Percolation(INST·26). That gap between the mild micromotive and the stark macro-outcome is Schelling’s lesson, and the lattice-agent kin of The Tournament (INST·33): the collective pattern is not the sum of the intentions. Granovetter’s thresholds carry the same idea off the grid — a crowd tips on the distribution of its holdouts, not its average — the sharpest social face of the rack’s emergence question.