Earlier quoted context omitted.
No worries at all. I know it's an extremely long comment on a comment on an article - thanks for reading it. On further thought, the conjecture's behavioural outcome is actually not quite so analogous to 'salami slicing' as it is analogous to monetary policy caused inflation. In effect, the amplification effect would serve to create profit by creating an apparent valuable trade where none actually exists - such trade…
I'm an Econ grad student currently not paying attention in a Maths class (something about the Implicit Function Theorem) and I'm absolutely intrigued by your two comments. Kudos. Also, to sidetrack a little bit, may I ask how long it took you to gather these thoughts and post them? I'm trying to get a sense of how far along I am about gaining a holistic understanding of markets and trading.
All in all, about 10 minutes or so of consideration, followed by about an half an hour of editing.
That said, I'll likely spend much more time looking for existing models of financial markets under the information relativistic conditions created by HFT activity - it occurs to me that as trading moves closer to speed of causality in the market the models underlying market understanding may need to be adapted, perhaps using relativity as a prototype. With any luck they already have and I can elaborate from those to solve for conditions of such markets with information asymmetry and agents capturing value. If such markets are inherently volatile and that volatility increases geometrically nearing the speed of causality - presumably, the speed of light, then this may provide the mechanism for the apparent global inflation of instrument prices via distributed profitable high-speed trading activity while preserving lessened arbitrage opportunity and other visible market behaviours.
I really must formalise this so that it may be thoroughly and logically evaluated - both symbolically and under simulation. However, I'm at a disadvantage in that I am merely a dabbler in the field of economics and game theory. I also have no formal background in stochastic finance or physics. I am but a Systems Engineer. So, fun challenges ahead.