  Inspired by numerical studies of the aggregation equation, we study the
effect of regularization on nonlocal interaction energies. We consider energies
defined via a repulsive-attractive interaction kernel, regularized by
convolution with a mollifier. We prove that, with respect to the 2-Wasserstein
metric, the regularized energies $\Gamma$-converge to the unregularized energy
and minimizers converge to minimizers. We then apply our results to prove
$\Gamma$-convergence of the gradient flows, when restricted to the space of
measures with bounded density.
