The compound interest of reputation
Reputation is one of the few assets that grows on its own if you don't damage it. Almost nobody treats it that way.
In financial compound interest, the magic happens because your returns earn returns. You don't have to do anything once the principal is in place. Time does the work.
Reputation works the same way. Every time you do what you said, deliver clean work, return a favor, you're not just building reputation, you're growing the pool of people who can vouch for you to other people. And those other people become vouchers themselves.
The function is exponential.
The rare-event model
What doesn't grow exponentially is damage. A reputation takes 5 years to build and 5 minutes to break. This is because vouchers only transmit positive signals by default. Negative signals get transmitted on rare events, when the voucher has to actively warn someone.
Those rare events tend to be triggered by specific betrayals: broken commitments, dishonesty, being caught in a lie, public rudeness.
The math of reputation therefore is: almost nothing you do makes it faster, but a small number of things you do can permanently slow it down.
What this means practically
The optimization isn't "build reputation." The optimization is "don't destroy it."
Which is counterintuitive because it means saying no to some short-term gains. Lying to get a deal. Shipping something you wouldn't ship if your name were on it. Stiffing a contractor because you technically can.
Each of these looks like a rational short-term choice. Each of them is a reputation event the long-term math can't absorb.
The people who win over 20-year horizons are almost always the people who refused to take those short-term deals.