The 13 Equations · Equation 4
People are influenced more by what they see than what is best — why else does advertising work?
Influence is created by the product of Value delivered and Visibility achieved, discounted by the Competition for that influence in the leader's domain.
Influence behaves like a physical force: it has magnitude, direction and decay, and it obeys constraints that do not care about intention. It is the mechanism by which ideas move beyond one mind to change the behaviour of others. Leadership without Influence stays a private conviction; Management without it stays local optimisation.
The equation has two factors in the numerator and one divisor. Value is the genuine benefit a leader delivers. Visibility is the signal strength that benefit reaches others through — because value that is unseen does not propagate, attract resources, or change priorities. Competition is the divisor: the rival loyalties and conflicting signals that fragment attention. High Value and Visibility count for little when Competition is shredding the signal.
The variables: Value · Visibility · Competition
Every organisation contains people and ideas of real value that change nothing, and louder ones of less substance that change everything. We tell ourselves the better idea will win on merit. It frequently does not — not because it is wrong, but because it is unseen, or because the room is too noisy to hear it.
Influence is what advertising understands and engineers forget: people act on what they see, not on what is best. The equation does not excuse this; it measures it, so a leader can decide whether to raise their Visibility, reduce the Competition for attention, or accept that unseen value will stay inert.
With Value and Visibility maxed and Competition at its floor, Influence reaches its ceiling. A leader with Value 8 and Visibility 4 facing Competition 6 scores around 5 — solid work, badly under-propagated, because the signal is weak and the field is crowded.
The most common pattern is high Value, low Visibility — quiet competence that never moves the system. Influence feeds directly into Leadership, Power and Effective Power, so a leader who refuses to be seen caps every equation downstream of this one.
Worked examples from the essays — where this equation has been applied to real events and people.
No. Visibility is one of three terms, and without genuine Value behind it, visibility is just noise that Competition quickly cancels. Influence rewards seen value — not seen emptiness.
Because attention is finite. The same Value and Visibility produce far more Influence in an uncontested field than in a crowded one. Competition is not rivals being better — it is the fragmentation of the signal you are trying to send.
Raise Value, raise Visibility, or reduce the Competition for attention in your domain. The most overlooked lever is Visibility: most capable people are under-seen, not under-skilled.