Fragility-Boundedness

Definition

The requirement that regeneration properties hold under admissible shocks drawn from the fragility regime F. A system is fragility-bounded if E[V(x_{t+T}) | εₜ ∈ F] ≥ V(xₜ). This distinguishes regeneration from robustness—regeneration handles endemic shocks, not all possible disturbances.

Formula

Example

A civic organization is fragility-bounded if it maintains capability despite typical donor cycle fluctuations and volunteer turnover—it doesn't need to survive a complete funding collapse, just endemic volatility.

Source

FRS Section 3.3