Agent for obtaining a stable aqueous composition comprising an association:of a polymer constituted by: at least one A monomer of acrylic acid and/or methacrylic acid and/or any of their salts,at least one B monomer of alkyl acrylate and/or methacrylate, andAt least one crosslinking D monomer, andwith at least one C compound corresponding to the following formulae (I):R1-O-[(EO)n(PO)n′(BO)n″]—Z (I)in which:R1 represents an ethyl, isopropyl or sec-butyl radical,[(EO)n(PO)n′(BO)n″] represents a polyalkoxylated chain constituted of alkoxylated units, distributed into blocks, alternatively or statistically, chosen from among EO ethoxylated units, PO propoxylated units and BO butoxylated units, representing, independently from each other, 0 or a whole number between 1 and 150, the sum of n, n′ and n″ not being null, andZ represents a fatty chain, linear or branched, of at least 16 carbon atoms.