The invention relates to a deicing or anti-icing agent containing, based in each case on its total weight, from 35.0% by weight to 95.0% by weight of at least one glycol, from 0.001% by weight to 5.0% by weight of at least one dendritic polymer and from 0.01% by weight to 5.0% by weight of at least one further thickener and optionally water.