WeltForm

Structural fragility · 02

Research

Roundel.

If a system looks stable and models assign reassuring probabilities, Roundel maps where resilience breaks under stress, without claiming to know the black swan.

Fragility map & reverse stress testing

Ruin events are too rare for a precise probability. Roundel applies stress multipliers (2×, 5×, 10× historical volatility) to exposures known today — energy costs, leverage, loss of a key supplier — and watches where the response stops being linear and harm grows disproportionately.

That breaking point is the core output. With reverse stress testing, Roundel also starts from a declared ruin scenario («what would need to happen for this system to collapse?») and measures today’s safety margin, including for scenarios absent from historical data.

Recommendations remove fragility: single points of failure, excess leverage, excess concentration. They favour cutting structural exposure over betting on a forecast of risk.

Reverse Stress Testing Simulator

Distance to Ruin & Concavity Detection

Simulate stress multipliers to locate the non-linear breakpoint before systemic collapse.

BREAKPOINT S_crit1x (85 €/MWh)8x (680 €/MWh)
Stress Multiplier3.0x
1.0x (Ordinario)4.5x (Ruin point)7.5x (Shock Estremo)
Price per MWh255 €/MWh
Margin to Ruin+1.5σ
Via Negativa

Via Negativa: remove rigid fixed-price supply contracts without indexation.

Roundel principles

On ruin, ordinary calibration says little. What counts are contestable stress tests and a record of real shocks weathered without collapse.

10x

Non-linear stress multipliers

Applies growing stress to current exposures to see where impact scales disproportionately relative to the shock.

RUIN ZONES₀S_critΔσ_ruin →

Reverse stress testing

Defines the total-ruin threshold and calculates how far, from the present state, the system is from reaching it.

Ω ∖ {x_fragile}

Interventions by subtraction

Identifies dependencies to remove: vendor concentration, contractual rigidity, exposed leverage. Aim: more resilience, less added complexity.

How it fits together

Vektor works on ordinary risk. Probe on agents’ futures. Roundel on fragility under extreme stress, when a reassuring output is no longer enough.