The 13 Equations · Equation 13
If Power is the blueprint, Effective Power is the building.
Effective Power is the master equation — the full expression of a leader's capacity to create real-world impact. Power must be resourced and free to act, and it must overcome the twin enemies of Chaos and Administrative Impotence.
It is common to confuse the possession of power with the ability to use it. Many leaders sit at the apex of authority and find that almost nothing they decide actually happens; others, far from the top, consistently shape outcomes. The final equation is therefore not an equation of power but of usable power — what persists after the Chaos Tax has been paid.
Power (Equation 12) is the numerator’s core, multiplied by Resources (the organised capacity to execute) and Autonomy (the freedom to act without permission). That product is then divided by the combined drag of Chaos and Administrative Impotence — the two denominators that have shadowed the whole model. If Power is the blueprint, Effective Power is the building: the master equation, and the single number the Leaderment Score reports.
The variables: Power Computed · Resources · Autonomy · Chaos Computed · Admin Impotence Computed
The puzzle that ends the book: a leader with every formal advantage who changes nothing, beside a constrained one who changes everything. Power explains the potential; it does not explain the result. Effective Power does.
The equation shows where capacity leaks away. A leader can have real Power, ample Resources and full Autonomy, and still achieve almost nothing if their Chaos and Administrative Impotence denominators are large enough to consume it. Usable power is what survives the taxes — and most leaders never measure the taxes at all.
The numerator multiplies Power, Resources and Autonomy; the denominator multiplies Chaos and Administrative Impotence. Because both denominators have floors (Chaos 9, Administrative Impotence 1), the model never divides by zero — Effective Power is always bounded and always taxed. A strong leader with a runaway Chaos score can read lower than a modest one who keeps their denominators small.
This score becomes the Leaderment Score. Read it as the whole framework in one number: everything a leader can do, minus everything their own pride and their organisation’s drag take back.
Worked examples from the essays — where this equation has been applied to real events and people.
Power is capacity; Effective Power is what that capacity actually achieves once Resources and Autonomy are factored in and the Chaos and Administrative Impotence taxes are paid. A leader can have great Power and little Effective Power if their denominators are large.
Because it integrates the whole model — Power carries Authority, Influence and Virtue; the denominators carry Pride, Ego, Corporate Drag and Bureaucracy. The single output, the Leaderment Score, is the net usable power of a leader at a point in their career.
Often, yes — by raising Resources or Autonomy, or by reducing the Chaos and Administrative Impotence in the denominator. Cutting the taxes frequently does more than adding to the numerator, because the denominators divide everything at once.