What do I mean by network value? In a network, the popular nodes become even more popular, according to a “rich get richer” fashion known as “Preferential Attachment”. Previously I have used the example of the London Underground, although that is not a particularly good example in terms of dynamics, because the popular stations are interchanges. There is very little occasion for a new interchange to suddenly pop up at a station that hitherto was not an interchange. New stations don’t materialise that often, so the whole analogy proves a bit slow to visualise in action.
The network value of a vertex in a network, which is rewarded by affordability of opportunity to increase connections in a scale-free manner, is itself a complex parameter. What do I mean by value? Up to now, we’ve just been assuming we mean that we offer something, perhaps something unique or perhaps something appreciated or liked or funny or thoughtful or provoking or some other appealing lure. If a node in a network produces something no other node does, and if as coincidence would have it, other nodes in a network actually appreciate that product, then that’s what we’ve been imagining what I mean by “value” within a network. But this is quite subjective.
Lots of nodes, sorry, people, produce and present to the network more or less nothing. When they do, it might be of low importance such as mentioning that their cat rolled over. Or it might be something derived that they are simply passing on, like a retweet or a pasted-in motivational quote. Motivational quotes are a freely utilised currency. As far as I’m aware, Henry Ford, Bob Marley and Thomas Edison don’t actually have twitter or facebook accounts, what with the inconvenience of being dead and all that. Yet much of what they ever said in their lives is passed around freely. Not only as a way of cheering people up (or ‘motivating’ them), but packaging it as a kind of “you got that good feeling from me” emotional transaction.
As I say, a node that produces is not always offering value to the network. In a work environment, if someone farts, the value of their unique production is generally not appreciated or liked, nor does it give everyone else a good feeling. So you see, it’s subjective. What we consider value is often measured and quantified in terms of a qualitative effect on us. The more happy it makes us, the more value we assign to that direct contact on the network that packaged their output into tiny little morsels, nibble after nibble. We afford network fitness to them as a reward. But only if we calculate that they offer value to us, and this is purely in terms of how good it makes us feel at the time. It’s all very much instant gratification, there’s almost nothing long-term about this, and it doesn’t correlate with any true usefulness of the information, just how sweet it tastes to us.
