  A unified view on the phenomenon of monogamy exhibited by Bell inequalities
and non-contextuality inequalities arising from the no-signaling and
no-disturbance principles is presented using the graph-theoretic method
introduced in \textit{Phys. Rev. Lett. 109, 050404 (2012)}. We propose a novel
type of trade-off, namely Bell inequalities that do not exhibit monogamy
features of their own can be activated to be monogamous by the addition of a
local contextuality term. This is illustrated by means of the well-known
$\mathcal{I}_{3322}$ inequality, and reveals a resource trade-off between
bipartite correlations and the local purity of a single system. In the
derivation of novel no-signaling monogamies, we uncover a new feature, namely
that two-party Bell expressions that are trivially classically saturated can
become non-trivial upon the addition of an expression involving a third party
with a single measurement input.
