Composition including an oil phase, an aqueous phase, at least one emulsifying system of water-in-oil (W/O) type, optionally at least one emulsifying system of oil-in-water (O/W) type, in the form of an inverse latex including from 20% to 70% by mass and preferably from 25% to 50% by mass of a branched or crosslinked polyelectrolyte, characterized in that the polyelectrolyte is a copolymer of 2-acrylamido-2-methylpropanesulfonic acid partially or totally salified with N,N-dimethylacrylamide and optionally one or more monomers chosen from monomers containing a partially or totally salified weak acid function and neutral monomers. Cosmetic use.