  Standard tripartite nonlocality and genuine tripartite nonlocality can be
detected by the violations of Mermin inequality and Svetlichny inequality,
respectively. Since tripartite quantum nonlocality has novel applications in
quantum information and quantum computation, it is important to investigate
whether more than three observers can share tripartite nonlocality,
simultaneously. In the present study we answer this question in the
affirmative. In particular, we consider a scenario where three
spin-$\frac{1}{2}$ particles are spatially separated and shared between Alice,
Bob and multiple Charlies. Alice performs measurements on the first particle;
Bob performs measurements on the second particle and multiple Charlies perform
measurements on the third particle sequentially. In this scenario we
investigate how many Charlies can simultaneously demonstrate standard
tripartite nonlocality and genuine tripartite nonlocality with single Alice and
single Bob. The interesting result revealed by the present study is that at
most six Charlies can simultaneously demonstrate standard tripartite
nonlocality with single Alice and single Bob. On the other hand, at most two
Charlies can simultaneously demonstrate genuine tripartite nonlocality with
single Alice and single Bob. Hence, the present study shows that standard
tripartite nonlocality can be simultaneously shared by larger number of
Charlies compared to genuine tripartite nonlocality in the aforementioned
scenario, which implies that standard tripartite nonlocality is more effective
than genuine tripartite nonlocality in the context of simultaneous sharing by
multiple observers.
