Intersecting Psi-classes on Tropical $\mathcal{M}_{0,n}$

We apply the tropical intersection theory as suggested by G. Mikhalkin and developed in detail by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical curves. We show that in the case of zero-dimensional (stable) intersections, the resulting numbers agree with the intersection numbers of Psi-classes on the moduli space of n-marked rational curves computed in algebraic geometry.