Disclosed is a method for making multicoat colour and/or effect paint systems employing a pigmented aqueous basecoat material comprising a mixture M comprised of (K1) a branched C8-17alkane or a mixture thereof, (K2) a branched C18-25 alkane or a mixture thereof, and (K3) a water-miscible fluorinated polymer or a mixture thereof, where mixture M comprises 0.1% to 5% by weight, based on the weight of the aqueous basecoat material, component (K1) comprises 34% to 94% by weight, component (K2) comprises 5% to 46% by weight, and component (K3) comprises 1% to 20% by weight, all based on the weight of the mixture M, and components (K1) and (K2) have a degree of branching which corresponds to a ratio of the number of >CH— and —CH2— groups to the number of —CH3 groups of at least 25:75.