  We extend our studies of a quantum field model defined on a lattice having
the dilation group as a local gauge symmetry. The model is relevant in the
cross-disciplinary area of econophysics. A corresponding proposal by Ilinski
aimed at gauge modeling in non-equilibrium pricing is realized as a numerical
simulation of the one-asset version. The gauge field background enforces
minimal arbitrage, yet allows for statistical fluctuations. The new feature
added to the model is an updating prescription for the simulation that drives
the model market into a self-organized critical state. Taking advantage of some
flexibility of the updating prescription, stylized features and dynamical
behaviors of real-world markets are reproduced in some detail.
