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