The manual
This is the bomb game, except the bomb is a friendship and the manual is a 2009 thesis: The Effects of Cognitive and Memory Bias on Attribution and Relationship Valuation. One player can see the system; the other holds the model of how the system remembers. The win condition is understanding the system without mistaking your model of it for the system.
relationship i→j = baseline + Σ over remembered events: sign · salience · attribution · decay
Vij ≠ Vji, always — i's memory of j is not j's memory of i. The same shared
event is filed twice, under two different attributions.
The biases, wired in
Attribution asymmetry. In a warm dyad, good events are credited
to the partner (a≈0.8) and bad events are excused to circumstance (a≈0.3).
In a cold dyad the polarity flips: the slight was meant, the kindness was luck. Warmth maintains itself;
so does grievance. That hysteresis is the thesis.
Exponential decay & the cap. Events fade at
λ=0.008 per tick, and each ordered pair keeps only its 24 most recent memories — recency
outranks history by construction.
Peak-weighted encoding. Events inside intense relationships (|V| large) are encoded with higher salience — the peak of the dyad writes deeper than the routine.
Reinterpretation at rupture. When Vij falls through
−0.35, i re-reads the file: past kindnesses are discounted (a×0.55), past
slights are sharpened (a×1.5). The memory changes after the fact — "they were always like
this." Forgiveness partially reverses it if V climbs back above +0.5.
Bounded confidence. Beliefs only move toward an interlocutor
inside the trust radius (|b_i−b_j|<0.3), gated by how warm the channel is.
Contrast. Outside the trust radius, a cold channel
pushes beliefs apart (μₛ=0.05 gated by how negative V is). Disagreeing with someone you
dislike doesn't persuade you — it radicalizes you. This is where the field's polarized ridges come from.
Conviction. Each agent carries a prior b₀
and drifts back toward it at 0.0025/tick — people are not infinitely persuadable.
The field
Agents deposit their beliefs onto the 40×40 surface; the surface relaxes by the KPZ form —
dh = ν∇²h + λₛ(∇h)² + η — plus coupling to the deposits.
The telemetry shows the interface width W = std(h) and a live log-log growth exponent
β̂, reset on each rumor shock.
Honesty: the KPZ form is here for texture. A
β̂ near 1/3 would be suggestive, not evidence — this is a concept model, not a claim of
KPZ universality. The relationships, not the bubbles, are the exhibit.
How to play
rumor shock drops an extreme belief and a fresh grievance into the field.
perspective swap (or click any agent) opens one agent's memory — read how they filed each event,
and how their partner filed the same event differently. snapshot/rollback lets you
test a hypothesis against the same past twice.
Connects to: KPZ on manifolds, bounded-confidence models, and Keep-Talking-and-Nobody-Explodes — which understood all along that the manual is the relationship.