  Recently the authors in [Phys. Rev. Lett. 125, 090401 (2020)] considered the
following scenario: Alice and Bob each have half of a pair of entangled qubit
state. Bob measures his half and then passes his part to a second Bob who
measures again and so on. The goal is to maximize the number of Bobs that can
have an expected violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality
with the single Alice. By taking the maximally entangled pure two-qubit state
as an example, it has been constructively proved that arbitrarily many
independent Bobs can share the nonlocality with the single Alice. Here we
demonstrate that arbitrarily many independent observers can share the
nonlocality of a single arbitrary dimensional bipartite entangled but not
necessary two-qubit entangled state. Further, taking the generalized GHZ states
as an example, we show that at most two Charlies can share the genuine
nonlocality of a single generalized GHZ state with an Alice and a Bob.
