- Assumption that the distribution follows power law for the highest 3% of the holders (it does if we are talking about general wealth) - the power law distribution has the property that the owners of 100-200 coins collectively own the same number of coins as the ones owning 200-400 coins etc. But their number is 2x higher (because the other group was 2x richer), and the density is 4x more (because not only there was 2x the number of people, but also the bracket is in absolute terms only half the size);
i dont know if this assumption is right, because nobody knows how much others are holding.
have you something to read for me about the power law?
When talking about wealth distribution in general, it has been found that the wealth of the highest 3% conforms to the power law, so that there are 1/2 the number of people that are twice as rich, until at the top there is a single person.
In the world this holds true until we get to the 10-billionaires. There the trail ends, even though according to the power law, 100 times richer people should exist. It is most plausible that they have hidden the wealth.
If the number of people went to less than half when doubling the wealth, most of the wealth would belong to average people.
If the number of people were more than half when doubling the wealth, most of the wealth would belong to the ultra-rich.
Wikipedia:"power law"
For it to be realistic to apply power law to coin holdings, we need to assume that there has been enough time and liquidity for everyone to balance their holdings to exactly the amount that they wish. I think this assumption is realistic, since the exchanges have been available almost since the beginning, and there has been lots of liquidity and price action there.
What is more difficult for me to estimate is the number of holders. But as long as the power law distribution in the higher end holds true, even doubling the number of users has no large effect on the top, as evidenced by the example distributions.