Discretization often leads to instability, particularly if not done carefully. The prototypical example is naive discretizations of stable ODEs. Of course, all we have are toy models and speculation. The only real way to know is to try it.
If I remember right, a couple of Asian equities markets have some sort of "auction on clock tick" mechanism, so we might be able to look to their experiences.
If I remember right, a couple of Asian equities markets have some sort of "auction on clock tick" mechanism, so we might be able to look to their experiences.