  This paper studies the approximation of invariant measures of McKean-Vlasov
dynamics with non-degenerate additive noise. While prior findings necessitated
a strong monotonicity condition on the McKean-Vlasov process, we expand these
results to encompass dissipative and weak interaction scenarios. Utilizing a
reflection coupling technique, we prove that the empirical measures of the
McKean-Vlasov process and its path-dependent counterpart can converge to the
invariant measure in the Wasserstein metric. The Curie-Weiss mean-field lattice
model serves as a numerical example to illustrate empirical approximation.
