Rich Get Richer
When growth is proportional to current size, early advantages enlarge the base for future gains, concentrating outcomes into a few large winners and many small ones. The “rich get richer” is [[compound-growth|compound growth]] viewed across a population rather than through time.
Take almost any metric produced by a rich-get-richer system and sort it from largest to smallest. Instead of a tidy spread around the average, you should expect a steep power law: a handful of giants followed by a long tail of small players.
E1Size becomes the next round’s advantage
The mechanism is proportional growth. Each participant’s next gain depends on what it already has, so equal percentage growth produces unequal absolute gains. Those larger gains increase the winner’s base again, widening the gap with every round. Across the whole system, this repeated feedback concentrates the measured outcome into a power-law distribution. Preferential Attachment is one way to create the loop: existing connections make additional connections more likely.
E1A power law needs the feedback loop
This model does not explain every unequal outcome. Its prediction depends on growth actually rewarding current size; fixed gains, hard ceilings, resource limits, or corrective rules can weaken or stop the concentration. Inequality alone is therefore not proof of a rich-get-richer mechanism.
E1Test whether size predicts the next gain
For a system you care about, record each participant’s current size and its gain over the next period. Compare gains as percentages and absolute amounts: if similar percentage growth repeatedly gives the largest players the largest new increments, you have identified the reinforcing loop—and the point where a growth constraint would need to intervene.
Episodes that teach this
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Simple Maths Explains Why Rich Get Richer - Power Law - FutureIQ
· explained at 5:32
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"whenever there is a rich get richer dynamic in how a complex system grows you will end up... sort by decreasing order of that metric you will find that there is a power law."