Behavioural Gradient Function

Definition

The core equation of AoE: probability of compliance as a function of three weighted mechanisms—friction differential (F), identity coupling (I), and future-cycle access (C). When the sum exceeds threshold, compliance approaches certainty without enforcement.

Formula

Example

A system with high F (preferred action is easy), moderate I (aligns with identity), and high C (valuable future access) achieves 95%+ compliance with zero enforcement budget.

Source

AoE Section 3