mercredi 12 août 2020

Awkward Math(s) Question: Dunbar's Numer and Six Degrees of John Malkovich

Dunbar's number

Six Degrees of Separation

The population of Elbonia is 300,000.

Each Elbonian can get to know 150 other Elbonians.

There are 2,000 unique groups of Elbonians, where no member of the group is a member of any other group.

However, this is far too few groups for all three hundred thousand Elbonians. Luckily, there's a lot of overlap.

Question 1: Is it possible to calculate the minimum necessary overlap between Elbonian Relationship Groups (ERGs), in order for every Elbonian to know 150 of their countrypeople?

1/6 Elbonians are John Malkovich.

Question 2: Is it possible to calculate how many John Malkoviches each Elbonian has in their ERG?

Question 3: Is it possible to calculate how many Elbonians know the same John Malkovich?

---

I made this up just now. Apologies if the answers are too obvious or too unwieldy.

Assume even distributions, spherical Elbonians, zero gravity, and frictionless surfaces wherever convenient.


via International Skeptics Forum https://ift.tt/30SBYgU

Aucun commentaire:

Enregistrer un commentaire