2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116522We discuss two sorts of generalization of Lie groupoids. One is Lie $n$-groupoids defined as simplicial manifolds with trivial $π_{k\geq n+1}$. The other is the stacky Lie groupoid $\cG\rra M$ with $\cG$ a differentiable stack. We build 1-1 correspondence between Lie 2-groupoids and stacky Lie groupoids up to a certain Morita equivalence. Equivalences of these higher groupoids are described.41pages, 10 figures, reference modifiedDifferential GeometryCategory Theory14Axx; 58Hxxtext