:: [Squatconf] OT [long]: The two-step… |

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Dominic Tarr at |

I apologise for the OT, but this is about quantitative modelling of

small communities and it IS connected with hacking AND squatting so I

hope someone would be interested in helping me out.

***

tl;dr: I need a mathematical function to estimate a size of community,

based on (actual) Dunbar number and the percentage of shared social

contacts.

***

My definition of small community is a community able to govern itself

without institutional structures, based on natural mechanisms of social

control and assessment. It means to me that the size of community must

conform two principles:

The effect of this is making all social interactions simple. I can

identify everyone as a member of community. If I need an interaction, I

can introduce myself, referring a common acquaintance. Most probably

(gossiping is an important social function) we already know each other's

reputation. In case of conflict, we can easily find one or more

mediators. Etc., etc.

A simple calculation tells us that absolute theoretical maximum size of

such community lays between 150^2 and 250^2 (22 500 and 62 500 people,

respectively). But this makes no practical sense, as it only happens if

we have no common (shared) contacts. Thus, actual size of the community

will depend of this very parameter: how many contacts (on average) we

share with our direct ones. In extreme, again, it will be 100%, making

the community size 152 or 252. But the real life spreads between extremes.

Now, what I need from my illustrious friends (and other social contacts)

are two things.

Having it all together, I will be able to declare what actually is (in

qualitative terms) a “community” I refer to so often in my musings on

confederated system.

Anybody, please?

Best, Petros

small communities and it IS connected with hacking AND squatting so I

hope someone would be interested in helping me out.

***

tl;dr: I need a mathematical function to estimate a size of community,

based on (actual) Dunbar number and the percentage of shared social

contacts.

***

My definition of small community is a community able to govern itself

without institutional structures, based on natural mechanisms of social

control and assessment. It means to me that the size of community must

conform two principles:

1. A number of direct social contacts (one direct friends, relatives or acquaintances) stays within the limit of Dunbar number (strict: 150, generous: 250) 2. Throughout the community only two degrees of social separation exist. That means that for every member of community all other members are either one's direct social contacts or direct social contacts of his/her direct social contacts (“friends of a friend”).

The effect of this is making all social interactions simple. I can

identify everyone as a member of community. If I need an interaction, I

can introduce myself, referring a common acquaintance. Most probably

(gossiping is an important social function) we already know each other's

reputation. In case of conflict, we can easily find one or more

mediators. Etc., etc.

A simple calculation tells us that absolute theoretical maximum size of

such community lays between 150^2 and 250^2 (22 500 and 62 500 people,

respectively). But this makes no practical sense, as it only happens if

we have no common (shared) contacts. Thus, actual size of the community

will depend of this very parameter: how many contacts (on average) we

share with our direct ones. In extreme, again, it will be 100%, making

the community size 152 or 252. But the real life spreads between extremes.

Now, what I need from my illustrious friends (and other social contacts)

are two things.

1. Can anybody help me formulate a nice mathematical function, to estimate a size of community, based on the parameters listed above? Or perhaps (likely) such formula already exists, only I was unable to find it. Then, point me in the right direction, please. 2. Can anybody help me establish what are empirical values of the shared contacts percentage in various communities and what influences that? Most probably it is known already, I am just unable to ask proper questions, while googling.

Having it all together, I will be able to declare what actually is (in

qualitative terms) a “community” I refer to so often in my musings on

confederated system.

Anybody, please?

Best, Petros

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