This paper proposes to offer the taxpayer a choice of tax-enforcement schemes for self-selection. More specifically, the taxpayer should have the possibility of opting for the prevailing regime with a certain penalty on the evaded tax or for an alternative regime with a higher penalty on the evaded tax but a reduced tax rate. It is shown that this leads to a separation of taxpayers characterized by a relatively high degree of evasion (H-evaders) from taxpayers who evade only a relatively small amount of tax (L-evaders). Furthermore, the procedure is not self-defeating, it is effectively possible to direct the efforts of auditing towards the H-evaders. At the end of the game the L-evaders experience a welfare gain, the H-evaders are induced to reduce their evasion activities and the government can expect higher yields.