The IMF has published a report on the cut of Moldovan corporation tax rates to zero and says:

Global economic integration [has] intensified tax competition and raised concerns about the resulting "race to the bottom", which could undermine public investment and social spending.

The aim of this paper is to test predictions that (i) there is interdependence in [corporation tax] rate setting in Eastern Europe and that (ii) the recent [corporation tax rate] cut in Moldova may intensify tax competition in the region.

It finds that there is indeed evidence that during 1995-2006 countries in Eastern Europe strategically responded to changes in [corporation tax] rates in the region and that Moldovan zero [corporation tax] is likely to encourage further [rate] cuts.

The paper also discusses implications of tax competition for Eastern Europe and finds that FDI flows will not be much affected, tax revenues are likely to decline, [and] the shift in the composition in tax revenue may increase economic efficiency, but decrease equity.

Tax coordination, while difficult politically, could help stem further decline in corporate taxation, but any gains might be modest and not certain to exceed the costs of tax coordination. Without tax coordination, however, it is unclear what exactly could stop corporate taxes from falling further.

As I have argued: tax coordination is so desirable it must be politically possible. And as the IMF says, it's the only way to keep corporation tax working. And if (like all people with a sense of justice) you value equity, that is essential.