  We investigate the nonlocality distributions among multiqubit systems based
on the maximal violations of the Clauser-Horne-Shimony-Holt (CHSH) inequality
of reduced pairwise qubit systems. We present a trade-off relation satisfied by
these maximal violations, which gives rise to restrictions on the distribution
of nonlocality among the subqubit systems. For a three-qubit system, it is
impossible that all pairs of qubits violate the CHSH inequality, and once a
pair of qubits violates the CHSH inequality maximally, the other two pairs of
qubits must both obey the CHSH inequality. Detailed examples are given to
illustrate the trade-off relations, and the trade-off relations are generalized
to arbitrary multiqubit systems.
