  We classify Hopf actions of Taft algebras T(n) on path algebras of quivers,
in the setting where the quiver is loopless, finite, and Schurian. As a
corollary, we see that every quiver admitting a faithful Z_n-action (by
directed graph automorphisms) also admits inner faithful actions of a Taft
algebra. Several examples for actions of the Sweedler algebra T(2) and for
actions of T(3) are presented in detail. We then extend the results on Taft
algebra actions on path algebras to actions of the Frobenius-Lusztig kernel
u_q(sl_2), and to actions of the Drinfeld double of T(n).
