  The fine-grained uncertainty relation can be used to discriminate among
classical, quantum and super-quantum correlations based on their strength of
nonlocality, as has been shown for bipartite and tripartite systems with
unbiased measurement settings. Here we consider the situation when two and
three parties, respectively, choose settings with bias for playing certain
non-local games. We show analytically that while the fine-grained uncertainty
principle is still able to distinguish classical, quantum and super-quantum
correlations for biased settings corresponding to certain ranges of the biasing
parameters, the above-mentioned discrimination is not manifested for all
biasing.
