  The absence, so far, of any graviton signatures at the LHC imposes severe
constraints on the Randall-Sundrum scenario. Although a generalization to
higher dimensions with nested warpings has been shown to avoid these
constraints, apart from incorporating several other phenomenologically
interesting features, moduli stabilization in such models has been an open
question. We demonstrate here how both the moduli involved can be stabilized,
employing slightly different mechanisms for the two branches of the theory.
This also offers a dynamical mechanism to generate and stabilize the scale for
the Universal Extra Dimensions, another long-standing issue.
