RE: Power Laws and Inequality

From: Lee Corbin (lcorbin@tsoft.com)
Date: Wed Feb 12 2003 - 01:22:19 MST

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    Damien writes

    > > The very act of choosing, spread widely enough and
    > > freely enough, creates a power law distribution.

    If people vote for each other at random, which would
    be one way of choosing, then the math is the same as
    what happens if you give a thousand dollars to a thousand
    people at random. About one person gets 6 or so dollars,
    and about .368 of the people get nothing (1/e). I don't
    think it's a "power law" exactly, but the hierarchy is
    similar. (This differs from giving a million dollars
    at random to a thousand people, where almost everyone
    gets nearly a thousand dollars.)

    > > Inequality occurs in large and unconstrained social
    > > systems for the same reasons stop-and-go traffic
    > > occurs on busy roads, not because it is anyone's
    > > goal, but because it is a reliable property that
    > > emerges from the normal functioning of the system.

    Yes, however you'd model such freedom in a computer
    program, it's quite clear that such inequality would
    obtain.

    > This fundamental insight forms the basis of much of Steven
    > Pinker's social policy ruminations in THE BLANK SLATE.

    I keep reading over and over that the belief is widespread
    in America that present difficulties in one's personal
    situation, including a low standard of living, will get
    better. I don't know a better word for that than optimism.
    Of course, this can be a self-fulfilling prophesy,
    especially if linked to a belief that one's actions
    can put one ahead, even ahead of the average of one's
    peers.

    Lee



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