This SMH report says the GST has done nothing to reduce the size of the hidden economy. I haven’t seen the original research on which the report is based. Also, although the reported method of looking at the volume of “unexplained” cash is widely-used in the literature on tax evasion, I have some technical difficulties with it. But the basic result is entirely predictable, and was in fact predicted by every competent economist who looked at the problem. Simon Grant and Stephen King (both then at ANU) did a nice analysis and someone else (can’t recall name right now) published much the same thing in the Economic Record.
I gave a less formal exposition in the Financial Review in 1996. The key point
The silliest of the claims made in support of substituting a GST for income taxes is that it will put a stop to tax evasion, of the kind practised, for example, by plumbers who are willing to charge a lower price in return for payment in cash. It should be obvious, at least to anyone trained in economics, that a change in names will change nothing; plumbers who fail to report their income to the Tax Office will also fail to report their sales to the officials responsible for the GST. For those who prefer a formal general equilibrium analysis, a paper by Simon Grant and Steven King proves that replacement of an income tax by a GST will make no difference in the extent or incidence of tax evasion.
It looks as if the data is finally in on this one.