Weak Regeneration

Definition

A system satisfies weak regeneration if capability is preserved (not necessarily increased) across cycles: V(x_{t+T}) ≥ V(xₜ). Weak regeneration avoids decay but doesn't compound. Systems relying only on decoupling (Δ) without full alignment (Λ) often achieve weak regeneration.

Formula

Example

An endowment with conservative investment policy achieves weak regeneration—principal is preserved across market cycles, but the fund doesn't grow in real terms. It avoids decay without compounding.

Source

FRS Section 3.5