  We calculate the Hausdorff dimension of path-dependent shrinking target sets
in generic affine iterated function systems. Here, by a path-dependent
shrinking target set, we mean a set of points whose orbits infinitely often hit
small balls with a fixed generic centre and with radius decreasing and
dependent on the point itself. It turns out that the Hausdorff dimension of
such a set is given by the zero point of a certain limsup pressure function.
The result generalizes the work of Koivusalo and Ramirez, and Barany and
Troscheit, as well as that of Hill and Velani.
