Showing posts with label power-law. Show all posts
Showing posts with label power-law. Show all posts

Friday, 22 August 2014

Have more sex and get more money


Have I got your attention? Good. Getting other people’s attention is what propels most of the Internet. Actually, all of the Internet. There’d be nothing on the Internet at all otherwise. And elsewhere in the real world there’d be no advertising; no books written; no films made; no music recorded; no photographs taken; no television programmes; no news journalism; no paintings; no labour strikes and no terrorism. I want your attention because, well, not just the warm and cosy feeling of gratification and validation, which is the most direct immediate result, but also via a more circuitous route of increasing the probability of being able to offer something of value to you, and thus increasing the risk of being rewarded appropriately in the long run.

One of the interesting things about the unintuitive nature of our networking relationships is not only that the quantity of connections follows a scale-free power-law progression, but also that the type of relationships matter somewhat too. In real life, our interpersonal networking tends to take two dominant directions — business or friendship relationships. Business relationships are often about provider / client differentials. Sometimes they’re about equal relationships, in which one side provides something that the other side is lacking in, and vice-versa — basically, acting as contra-operating provider / client relationships. Friendship relationships are complicated. There are several initial condition situations, and several strategy choices to run the relationship by.

The initial conditions may begin in the playground as “best friends” learning that people offer value and we can consume that value — but within a fairly innocent and basic notion of transactional value. As we grow up, we experience romance, which modifies our idea of value. Into adulthood, some get the hang of how those relationships can impact our social effect. We experience the extrinsic value of having a partner, that the relationship itself can have an effect on your network fitness. Hence, some people even collect relationships. Others may observe other’s relationships and hanker after similar situations without easily achieving anywhere near as many followers.

Perhaps more traction to escalate ones network fitness is gained through personal relationships than what we term as business relationships. This is not to say that one should attempt to have sex with as many partners as possible in order to widen one’s connections. One only has to look at cultures which consider baby mothers and absent fathers to be the norm. Those involved in such highly connected networks are not necessarily enjoying a high powered state of business success. It’s often quite the contrary, with more mouths to feed, limitations placed upon times and places, and consequently not accessing a rich range of rational choices for progress — like dragging an anchor.

Very often a partner is supportive and will believe in you when times are bleak. It’s tempting to think that if one partner in a relationship supplies such a lot of help, then why not simply increase the amount of relationships? However, the stability of one single relationship for a longer term may prove more valuable than the immediate benefits of a highly varied relationship scene, if for no other reason than long-term reputation. But this shouldn’t prevent being promiscuous in other associations that are not romantic. Perhaps the best way forward in business is having learned a lot about the value of interpersonal relationships, to go full circle and return to being a bit more like we were in the playground again, with networks of multiple “best friends” innocently evaluated by reputation, loyalty, and support.

Monday, 28 July 2014

What is a network? Scale-free networks


Previously I mentioned Preferential Attachment (the “rich get richer” phenomenon of some networks) which explains why popular nodes in a network become highly connected, and are highly connected because they are popular, and are popular because they are highly connected, etc. We see this on the Internet as things either go viral or things basically don’t move at all, plummeting to obscurity and beyond! It happens with people, some of us are highly connected, some are effectively islands, and most have just the average amount of connections. However, we may be connected to highly connected people on social networks, such as the Fry, the GaGa, the Kutcher types. Those superstars tweet it all and get retweeted by so many followers to their followers in turn, and the cycle is thus reinforced.

However, we could be being fooled here, as the size of the connected population is huge. Our intuition is that one follower may be fairly easy to gain, two followers must be twice that much work, ten followers, ten times that time and effort. A hundred thousand followers must take more than a lifetime to achieve!

How old are you? More than likely somewhere in the range of 20s to 70s, with a few outliers outside of this range. It’s rare to encounter someone older than 100, it is predicted that the first 150 year old person has already been born. Maybe. Maybe in the distant past a person did reach 150 but nobody wrote it down. Maybe H5N1 will mutate into human to human transmissible form soon and wipe out two thirds of the worlds overpopulation. Who knows? The point is, we’re used to a certain range of ages, and to find someone over a century is unusual. We never encounter a person over a thousand years old. Or a hundred thousand years old. We never encounter a person taller than the tallest building. We never encounter a person several thousand times more intelligent than average. What about strength? What about shouting loudest? What about jumping highest?

These parameters are kind of within “human scale”. We’re used to thinking about a kind of tangible scale, expecting measurements to fall within certain familiar boundaries, and applying a linearity to these dimensions. A ten year old took ten years to get there, a thirty year old, three times that much! I dug a hole 1 metre deep in a day, in ten days it was 10 metres deep. And so on.

However, in some networks, we experience an alternative dimensionality of Scale-Free networks. These are networks in which certain dimensions might have a mean of a certain value but it’s easy to find a few instances of crazy escalation up into the sky. That’d be like walking around and seeing most people about the age of a human, but now and then meeting someone that was around in the Cretaceous era. This is a scale-invariant situation — there’s no human scale to it any more. The results might be said to follow a power law distribution or Pareto distribution. Superstars getting insane amounts of connections in social networking while the rest of us will never get beyond a few thousand (or a few, in many cases). The spread of the World Wide Web and the quantity of websites on it. The relative growth of wealth of Bill Gates, Mark Zuckerberg, Larry Page, Sergey Brin, compared to the growth in earning power of all those in the same class as those people at school.

Most people work in a job and get paid. The job requires a certain amount of work as the input, and in a fair situation, it pays somewhat under what you’re worth as a reward. Therefore we’re used to thinking about income in a way that has a linear relationship. I do a certain amount of work in a week, I get paid a certain amount of money in a week. Sounds fair? That’s how it is. So how is it we have examples of super-rich billionaires? Do they do vastly more work than you and I? I’ve only got 24 hours in a day, and so have they, so how do they get a hundred thousand times more work done than I can? It’s not fair. Why can’t we go to our boss and ask for a pay rise, of a hundred thousand times what we’re getting now? Sounds fair? Sounds fair to me.