Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations Olivier Alvarez Martino Bardi Author address: UMR 60-85, Universit´ e de Rouen, 76821 Mont-Saint Aignan cedex, France E-mail address : Olivier.Alvarez@univ-rouen.fr Dipartimento di Matematica Pura ed Applicata, Universit` a di Pa- dova, via Trieste 63, 35121 Padova, Italy E-mail address : bardi@math.unipd.it