Worried about the dominance of big instances? No, really, this is quite natural.

As an emergent and self-governing system, it could be expected that the size distribution of #Mastodon instances roughly follows Zipf's law.

Does it?

At first you see the top 6 instances, and then the rest. But on a log-log scale the size distribution is close to a straight line, which would be expected from an emergent system.

#statistics

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The deviations are perhaps due to the still young age of the fediverse. Expect it to smooth out. But still, expect that the big instances will always dominate.

Data: 200 biggest instances from instances.social.

en.wikipedia.org/wiki/Zipf's_l

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Oh, one bonus toot. Based on the top 200 instances, the s factor of Zipf's law on the fediverse is approximately 1.3. If all the instances were taken into account, the factor could change. But I didn't find a quick way to grab the table other than manually, so I only used the top 200 instances.

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@Stoori In the context of technology though it's important to keep in mind that:

Zipf's law is often driven by unknown or unexamined variables and is not inherently the 'natural' case for all social systems without closer inquiry to eliminate potential causes as the culprit and -

It is a mistake to consider a natural property of emergent systems as a *desirable* property of any technology, or one that promotes the best conditions for it's proliferation and use.

@Ashrand Yeah, sure. The point is, if the fediverse is not centrally governed (that is, it emerges by itself as a laissez-faire system), it will end approximating the Zipf's law.

Of course now the question is, should there be some kind of central government of the fediverse to counter this development.

@Stoori @Ashrand what's zpif's law again? also i think kenneth arrow might be useful!

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