Earlier quoted context omitted.
Renaissance is not that type of hft firm. Renaissance uses algorithms to predict price movements before they happen. The type of hft this system is designed to prevent is front-running. Which is me seeing your order on exchange A and buying ahead of you on exchange B before your order arrives. Those types of hft firms are surely eating into Renaissance's profits in a big way.
What you are describing is an acausal (i.e. physically impossible, since cause effect happens before cause) version of demand anticipation - changing prices in response to market demand. It's impossible because the HFT will only know your order has reached exchange A after exchange A has told him about it. Obviously A can't tell him about it until after your order has arrived. Front running is a strategy where your b…
Example:
Vanguard sends a buy order of 1000 shares of AAPL to exchange A. Some HFT firm sees that order on exchange A and knows that it will also be placed on exchange B, and was surely broadcast from Vanguard's trading floor at the exact same moment as the order to exchange A.
However, the HFT firm also knows that Vanguard is physically closer to exchange A then B, and the HFT firm has invested a lot of money to ensure that they have the physically shortest possible route from themselves to exchange B.
This allows them to broadcast their order to exchange B and have it arrive there before the order broadcast by Vanguard, even though they broadcast their order later.
It is somewhat difficult to wrap your head around, but it is a physical reality, and people are making millions of dollars from it as I write this.