Explainer 04

The tipping point

Peer ties and ranked feeds are not the same channel. A chronological feed shows a fair sample of what is circulating; a feed ranked by predicted engagement over-samples the tail. That single difference moves a threshold, and the threshold is where the outcome is decided.

Populace · agent simulation · opinion dynamics · Go

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What amplification does to the tail

A story circulating among a fraction e of users occupies a share of feed slots equal to e under a fair feed, and e1/(1+A) under ranking. The limits are the interesting part: as e → 1 every curve meets, because a feed cannot over-represent something everybody already posts. Amplification helps the obscure, not the universal.

At A = 3.4 the exponent is 0.23, so a story circulating among 0.1% of users takes 21% of feed slots — the figure the project quotes.

Seed a population and watch

A population on a social graph, seeded at random and left to run, with the ranked-feed channel switchable. Below the new threshold platforms barely matter; above the old one they are irrelevant; in between they decide it. Move the seed slider slowly through the middle and toggle platforms.

A live illustration on a few thousand agents. Measured over 60k personas in the real engine, scattered seeding gave: 0.4% seeded → 0.46% reached without platforms and 0.53% with; 1.2% → 4.12% against 99.91%; 1.6% → 99.76% against 99.94%. Feed confirmations are discounted as 0.9·√shown, capped at 4, because content selected by one ranking function out of one pool is correlated — without that discount every story became a global cascade and the tipping point disappeared.


What it is

Populace

One million personas, 7.5 million social ties and 450 archetypes tick in about 13 ms. On top of the social graph sits a media layer — ranked feeds as a structurally different contagion channel from peer ties. Amplification is modelled as engagement raised to 1/(1+A), which over-samples the tail: at A=3.4 a story circulating among 0.1% of users takes 21% of feed slots. The result is not "everything spreads" but a critical mass that moves — at 1.2% seeding, 4.12% of the population without platforms and 99.91% with them.

  • Scale1M personas · 7.5M ties · ~13 ms/tick
  • ViewsGlobe, morphing equirectangular map, group chat
  • Model pathRailway → Cloudflare Tunnel → SGLang on the Spark
  • Livepopulace-production.up.railway.app
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