3 ms·
One thing about Power Law distributions -- they work really great except at the outliers (ie, top 10). You can't always say that because incumbent #10 is x, #1
by diziet 13y ago
One thing about Power Law distributions -- they work really great except at the outliers (ie, top 10). You can't always say that because incumbent #10 is x, #1 is 10x, especially when dealing with organizations that are huge conglomerates of different services, branches and sub-companies.
Look at Market Caps of companies (something that we have public signals about): https://en.wikipedia.org/wiki/List_of_corporations_by_market_capitalization#2013 https://en.wikipedia.org/wiki/List_of_corporations_by_market...
The difference between #1 and #10 is <2x, and #3-#10 all vary by just a few percent. Power Law distributions are great, but they tend to fail at the top end.
- diziet 13y agoI just wanted to present a counter argument to my reasoning: What if the list of companies (which is publicly traded companies) is missing the real head -- the non public companies that are either government owned or are governments themselves? If we look at the list of companies by revenue: https://en.wikipedia.org/wiki/List_of_largest_companies_by_revenue https://en.wikipedia.org/wiki/List_of_largest_companies_by_r... it does look like the real head of the Power Law distribution is missing.
- arethuza 13y agoThe original paper seems to take the Global 2000 and then re-orders them by asset size, not revenue: "we find that financial firms dominate the top tail of the firm distribution by asset size" http://arxiv.org/pdf/1309.2130v2.pdf http://arxiv.org/pdf/1309.2130v2.pdf
- pcrh 13y agoIntuitively one would expect that there are reasons why companies cannot be larger than a certain size (to exaggerate, none can be larger than the global economy). As companies approach their theoretical maximum, one would expect the distribution to deviate from the power law, as the actual data in the article demonstrates.
- cperciva 13y agoClearly there must be a Shadow Corporate System and Apple is hiding close to $2T in it.