  The set of multiparty correlations that respect all bi-partite principles has
been conjectured to be same as the set of time-ordered-bi-local correlations.
Based on this conjuncture we find the maximum value of success probability of
tri-partite Hardy's correlation respecting all bi-partite physical principles.
Unlike in quantum mechanics, the no-signaling principle does not reveal any gap
in Hardy's maximum success probability for bi-partite and tri-partite system.
Information causality principle is shown to be successful in qualitatively
revealing this quantum feature and this result is independent of the conjecture
mentioned above.
