Gibrat’s Law states that the proportionate growth of a city (or corporation or other social entity) is independent of its size. Here’s an example from Economy Professor:
If a company with sales of $10m doubles in size over a period of time, it is likely the same will happen for a company beginning with sales of only $1m.
This kind of growth can yield stable distributions, such as power laws. An article called Gibrat’s Law for (All) Cities, has more about this law as applied to cities, as might be expected by the title.
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