Final answer:
The afferent branch of the competing reflex (dilation) is the optic nerve, while the efferent branch is the sympathetic nervous system.
Step-by-step explanation:
The afferent branch of the competing reflex (dilation) is the optic nerve. This is the sensory component that carries information from the retina to the brain. The efferent branch is the sympathetic nervous system, which is responsible for dilating the pupil when light levels are low.