  Nonlocal correlations as revealed by the violations to Bell inequalities are
incompatible with local models without any nonlocal correlations. However some
tripartite entangled states, e.g., symmetric pure states, exhibit a stronger
nonlocality even incompatible with hybrid local/nonlocal models allowing
nonlocal correlations between any two parties. Here we propose a three-particle
Hardy-type test without inequality, as illustrated by a gedanken experiment,
that is failed by all non-signaling local models while is passed by all
tripartite entangled asymmetric pure states. Our result implies that every
tripartite entangled state, regardless of the dimensions of the underlying
Hilbert spaces, passes a Hardy-type test and therefore is genuine tripartite
nonlocal. Maximal success probability and a generalization to multipartite
cases of our test are also presented.
