  Physical principles constraints the way nonlocal correlations can be
distributed among distant parties in a Bell-type experiment. These constraints
are usually expressed by monogamy relations that bound the amount of Bell
inequality violation observed by a set of parties by the violation observed by
a different set of parties. Here we show that the no-signaling principle yields
a simple and tight monogamy relations for an important class of bipartite and
multipartite Bell inequalities. We also link these trade-offs to the guessing
probability--a key quantity in the device-independent information processing.
