An oil-in-water emulsion including, by 100% of its mass: 60% to 98% of aqueous phase (A1), including 0.05% to 1.65% of a cross-linked anionic polyelectrolyte (P) resulting from the polymerisation, in the presence of at least one cross-linking agent, of partially or completely salified 2-methyl-2-[(1-oxo-2-propenyl)-amino]-1-propanesulphonic acid with at least one neutral monomer selected from N,N-dialkyl acrylamides, wherein each alkyl group has between one and four carbon atoms, and at least one monomer of formula (I): R=radical C8-C20 and 1≦n≦20 2% to 40% of fatty phase (A2), including 1.25% to 50% of an emulsifying system (S) with at least one surfactant selected from alkylpolyglycoside compositions, alkylpolyglycoside and fatty alcohol compositions, polyglycerol esters, alkoxylated polyglycerol esters, polyglycolpolyhydroxystearates, polyglycerol polyhydroxystearates, alkoxylated polyglycerol polyhydroxystearates, polyethylene glycol/alkyl glycol copolymers 50% to 98.75% of at least one oil and, optionally, at least one wax. Cosmetics including the emulsion.