"Most HFTs run a market making strategy. What this means is they play both sides of the table - they take no position on whether a stock will go up or down. Instead, they try to offer securities both to buy and sell. If you want to buy, they will sell to you at $20.10. If you want to sell, they’ll buy from you at $20. As long as their buys and sells match don’t get too out of whack, the HFT will collect $0.10 = $20.10 - 20.00."
They provide an anonymous financial service.
When someone buys or sells a security, they take on risk in exchange for money. When someone is on the other end of the transaction, they give up money to reduce their risk. That seems fair to me. Just because it's a zero-sum game with respect to money doesn't mean it's a zero-sum game in totality. It's just that you can buy less iPods with risk than you can buy with cash, so you mentally overvalue cash and undervalue the lack of risk.
Also I am talking about trading not market making which can be done automatically, market making only works when you can beat the other guys at making deals and yes you can do that with pure numbers, but again that's not really what were discussing here.
So it can be done, but you need a brain the size of a planet. (I don't have a brain the size of a planet, so I don't build the models)
So in summary: it is too complex to understand, unless you have a very advanced education in the statistical techniques they use to build the models.
(For example I don't have a PHD in physics but a few years of reading and following up on linear algebra, and I can hold my own in a conversation on sting theory with with a PHD Physicist).
These guys certainly knew their stuff, and they also had a system: http://en.wikipedia.org/wiki/Long-Term_Capital_Management