Behavioural Gradient Calculator
AoE: Architectures of Ease
Calculate compliance probability using the AoE formula: P(compliance) = σ[αF + βI + γC]. Explore how friction differentials, identity coupling, and future-cycle access combine to create enforcement-free compliance.
Probability of compliance without enforcement
AoE Mechanisms
Compliance is easier than defection
How much compliance reinforces self-identity
Value of maintaining future system access
CONTRIBUTION TO COMPLIANCE
AoE FORMULA
Compliance Gradient (Sigmoid Function)
The sigmoid function maps the weighted sum of F, I, and C to compliance probability. Small changes near the threshold produce large behavioural shifts.
Hidden Costs: Enforcement vs Ease
Enforcement-based systems incur four hidden costs that ease-based design largely eliminates.
Sensitivity Analysis
How compliance changes when each mechanism varies by ±0.5 from current values.
Key Insights from AoE
Threshold Effects
Near the 50% threshold, small improvements in F, I, or C produce dramatic compliance shifts. This is the "S-curve" leverage point.
Mechanism Synergy
All three mechanisms (F, I, C) contribute independently. A system weak in one area can compensate with strength in others.
Self-Enforcing Design
When αF + βI + γC exceeds ~2.0, compliance exceeds 90% without any monitoring or enforcement infrastructure.