Quote from dtrader98:
I'm glad to see the discussion has evolved a bit and some posters have put aside petty ego conflicts. Maestro, glad to see you are well and sparking discussion again.
Regarding Chaos, I've done some studies in this area and came to the conclusion it is not chaotic in the strict sense (deterministic).
I've run numerous tests to test for chaos (and there are many), most fail. The one visual map that does show some type of non-randomness is something called a compass rose. It shows some underlying structural order which can show effects of price clustering but not determinism. Variance ratio tests from statistics show similar results.
From a fractal point of view, I think everyone accepts that many financial series fail to be characterized by a hurst exponent of .5 (which implies random walk), and we also know that markets have an inherent positive drift over the long run (how long, who knows, all we have is history); neither implies determinism. Mandelbrot said markets are 'self affine,' which agrees with antisyzygy's (cool name btw), observations on different scales, but doesn't buy much in the way of deterministic prediction.
All that being said, I think I read another poster's comment that a rat in a maze fared better than human subjects, as it converged to waiting in the box with 60% likelihood of getting fed. In many ways, I've argued buy and hold has an inherent edge built in, simply because of the positive drift and optimal net commission. Yet, it is still indeterministic and stochastic. Yet another way to think about edge existing-- even in the presence of randomness.
Keep in mind, many of these comments relate to viewing properties from a time series perspective. Obviously, there exist front running and other cause-effect relationships in the market that may have highly predictable modeling properties, depending on the observer; but I'm operating under the assumption that the far majority of traders would never have sufficient access to these observables to make such a refined model (if you will). Therefore, much like classical physicists, we are stuck making models based upon aggregate ensemble properties of the information.