Theater Audience Reaction Cascade

Performance Cue

Parameters

Performance intensity 70%

Peer influence (contagion) 55%

Threshold variance 40%

Live Readouts

Reacting now

Cascade front

row 0

Time since cue

—

Peak reached

How it works

Each of the 280 seated spectators is an independent agent with a personal reaction threshold T_i, drawn from a normal distribution whose spread you control. A spectator joins the applause/reaction wave once the stimulus reaching them exceeds their own threshold — this is Mark Granovetter's 1978 threshold model of collective behavior, the same mechanism used to model riots, standing ovations and voting cascades.

direct stimulus:  D(row,t) = I(t) · e^(−0.55 · row/rows)
impulse decay:    I(t) = intensity · e^(−t/1.4s)   (after a cue)
peer term:        P_i = influence · (reacting neighbors / 4)
local drive:       L_i = D(row_i,t) + P_i
join if:           L_i ≥ T_i     (T_i ~ N(0.5, spread))
stay if:            L_i ≥ 0.4·T_i  (hysteresis keeps a wave from flickering)

Trigger Reaction Cue — fires a stage-cue impulse; front-row seats feel it most directly, since attention/visibility falls off with distance from the stage.
Peer influence — how strongly a seat's own four grid-neighbors pull it toward reacting once they react — this is what lets a wave outrun the direct stimulus and sweep the back rows.
Threshold variance — narrow thresholds (an easily-moved crowd) produce a fast uniform standing ovation; wide thresholds produce a patchy, partial response.
Seats pulse gold and rise slightly while reacting; the color and height are a direct read of each agent's live drive L_i versus its threshold T_i.

Idle spectator Reacting Stage cue light

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