Start with a game that has no villain in it. Give a hundred people a hundred dollars each. Every round, pick two players at random and flip a coin — winner takes one dollar from the loser. Fair coin. No cheating. No rigged deck. Run it long enough and one thing happens with brutal reliability: the money collects in a few hands. Not because those players are smarter. Because that is what random exchange does when you let it run without a floor.
This is the yard-sale model, and economists have run it thousands of times. The result is always the same shape. Wealth concentrates on its own. Nobody has to steal it. The math does the stealing.
If you understand this one thing, you stop being surprised by every headline about the top 1%. And you stop looking for the single bad guy — because the bad guy is a feedback loop, and feedback loops don't have faces.
Pareto saw it in his garden
Around 1896 an Italian engineer-turned-economist, Vilfredo Pareto, noticed that 80% of the land in Italy was owned by 20% of the people. Then he noticed the same ratio in England. In Russia. In his own garden — 20% of the pea pods yielded 80% of the peas. He'd found a shape that didn't care about country or century.
That shape is the power law. Most of the quantity sits in a tiny slice of the population, and it drops off steeply from there. It shows up in city sizes, book sales, earthquake magnitudes, website traffic, and — most stubbornly — wealth. The 80/20 is just the entry point. Go up the curve and it gets sharper: the top 1% holds far more than 1%; the top 0.1% more still.
Pareto didn't invent the concentration. He just caught the universe doing it.
The two engines: multiplication and preferential attachment
Why does money follow a power law instead of a nice bell curve like human height? Two reasons, and both are pure math.
First: wealth grows by multiplication, not addition. Your money makes money. A 7% return on a thousand dollars is seventy. A 7% return on a billion is seventy million. Same percentage, wildly different absolute gain. Wealth compounds, and compounding is exponential, and exponential curves pull apart the people on them. Height doesn't compound — your kids don't get taller because you were tall in percentage terms. Money does. That's the whole difference between a bell and a power law.
Second: preferential attachment. The rich node attracts more connections. Capital already in place gets first look at the best deals, the lowest borrowing rates, the insider rounds. In network science this is called "the rich get richer" — literally, that's the technical name of the mechanism (Barabási's model). The bigger you are, the faster you grow, purely because you're already big. Success feeds on success.
Put those two engines together and concentration isn't a risk. It's the default. Leave a market alone with no counterweight and it will funnel to the top. Every time. It's not a bug in capitalism. It's the exponent in the equation.
Our record
Here is the Egyptian read, and it's exact.
Isfet — chaos, entropy, the parasitic pull — is not an event. It's a gradient. Like heat flowing from hot to cold, like a river cutting always downhill, wealth without a counterforce flows always toward the already-large. Left alone, any ordered system drifts toward its lowest-effort state, and for an economy the lowest-effort state is a pyramid with almost everything at the tip.
Maat is not the absence of that gradient. Maat is the counterweight placed against it. The Feather on the scale is light — but it is deliberate. Balance in the Egyptian mind was never automatic; it was maintained, every day, by act and by law, against a universe that tends the other way. The pharaoh's job title, stripped of gold, was: hold the scale level against Isfet. Stop holding, and the exponent takes over.
The floor is the whole point
Here's the part the yard-sale model teaches that pays off. Add one rule to the coin-flip game — a floor, a redistribution, a small tax that recycles a bit from the top back to the bottom each round — and the runaway concentration slows or stops. The power law flattens. Not into perfect equality — into something a society can survive.
That's the finding hiding inside the math: concentration is the default, but it is tunable. The exponent isn't fixed. Progressive taxation, antitrust, strong labor bargaining, public ownership, cooperative structures — every one of these is a counterweight on the scale. When you hear "the rich are just naturally getting richer, nothing to be done," you're hearing someone who wants the counterweights removed and the exponent left to run.
The last forty years removed counterweights. The exponent ran. That's the whole plot.
The lever
So the question is never "why is wealth concentrating." The math answers that: because you let it run without a floor. The real question is: where's your counterweight?
You can't repeal the power law any more than you can repeal gravity. But you can build against it. On the personal scale: get on the multiplication side. Own assets that compound, not just wages that add — because the whole game is addition versus multiplication, and you want to be on the exponential curve, not under it.
On the collective scale: the counterweight is structure. A cooperative pools capital so it compounds for the many instead of the one. A DAO with capped stakes and shared treasury is, in code, a floor written into the rules — Heka, the creating word, made executable. You can literally program a redistribution that the coin-flip game can't route around, because the rule runs before the flip.
The universe funnels to the top. Fine. Then you build the counterweight, and you build it into the code where it can't be quietly deleted. The Feather is light — but someone has to place it on the scale.
Place it.