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January 14, 2004

Ben Hyde on Powerlaws and Inequality

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Posted by Clay Shirky

Ben Hyde follows up on my Inequality post with observations of his own about mechanisms for working with power law distributions.
He touches on the issue of volitility. This is a two edged sword; you want stablity - since network participants pay a cost to reshuffle the network - and you want moblity/oportunity. I believe, but I don't have enough data or a reasonable model, that the distribution of volitility in most of these networks is similar to that found in the distribution of firm sizes from year to year. Small firms change size a _lot_ more than large firms - it's a double expodential. If that's the right distribution for the volitility then the design problem is to manage the constants in that distribution.
and
That in turn brings me to the information issue. I wish Clay had mentioned that one way to reduce the slope of the curve is to improve the information available to the network members. That encourages members to link to things that are more diverse. I.e. the habit of linking to the "more popular blogs" is less egalitarian than the habit of linking to the "most popular blogs that discuss my interests." You can't do the latter if you don't have good information.
This echoes Seb's note, in the comments of Inequality, about avoiding "linking up" (i.e the blogroll habit of adding popular weblogs as a shout-out.) Ben has been thinking about power law distributions, and about what kind of active steps we can take in shaping them, for a long time. Read the whole thing. (Postscript: Reading Ben's stuff, I was reminded about the excellent power law overview at http://backspaces.net/PLaw/)

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