The invention relates to (among other things) method of administering to a patient suffering from a cancer, the method comprising the steps of: (a) an IL-2Rβ-activating amount of a long acting, IL-2Rβ-selective agonist; and (b) a CTLA-4 pathway-inhibiting amount of an anti-CTLA-4 antibody or a PD-1 pathway-inhibiting amount of an anti-PD-1 antibody.