Infinitesimals Optimal Play
This page describes the optimal play for Black when the only go infinitesimals around are *, ↑, ↓, and Tinies and Minies. For White, Minies and Tinies switch roles with each other. This page may not apply if there are kos or future kos on the board. It also describes optimal play in go numbers. These kinds of endgames are common.
Patrick Traill: Is that ‘may be ignored’ or ‘should be ignored’? I.e. is anything lost by playing them?
Bill: Something may be lost. For instance, ↑ + * + * = ↑ > 0, so Black wins by taking the ↑. If Black takes one of the *s, he leaves ↑*, which is confused with 0, so White wins by playing in the ↑ to * + * = 0. See example below.
Most of these results are proved on other pages.