Highly filled plastic composition comprising: (a) at least one polyolefin; (b) at least one metallic salt of an unsaturated aliphatic fatty acid; at least one first mediator which is a hydrocarbon compound having at least one cyclic and preferably aromatic group and having at least one polar substituent comprising an oxygen atom and/or nitrogen atom, wherein the first mediator comprises at least two and at most ten cyclic groups per polar substituent, and wherein the melting point of the first mediator is no more than 80°C below and no more than 50°C above the melting point of the polyolefin (a); optionally at least one second mediator which is different from the first mediator and is a hydrocarbon compound having at least one cyclic and preferably aromatic group and having at least one polar substituent comprising an oxygen atom and/or nitrogen atom, wherein the second mediator comprises fewer than two cyclic groups per polar substituent and preferably at least two and at most ten polar substituents per cyclic group, and wherein the melting point of the second mediator is no more than 80°C below and no more than 50°C above the melting point of the polyolefin (a); and (d) at least one third mediator which is a hydrocarbon compound having at least one cyclic and preferably aromatic group which is unsubstituted or halogen-substituted, wherein the boiling point of the third mediator is no more than 100°C below and no more than 80°C above the melting point of the polyolefin (a); and (e) at least one particulate filler material; wherein the proportion of the filler material (e) amounts to more than 40 vol.% measured at the total volume of the filled composition and/or more than 80 vol.% of the theoretical maximum. (a) at least one polyolefin; (b) at least one metallic salt of an unsaturated aliphatic fatty acid; at least one first mediator which is a hydrocarbon compound having at least one cyclic and preferably aromatic group and having at least one polar substituent comprising an oxygen atom and/or nitrogen atom, wherein the first mediator comprises at least two and at most ten cyclic groups per polar substituent, and wherein the melting point of the first mediator is no more than 80°C below and no more than 50°C above the melting point of the polyolefin (a); optionally at least one second mediator which is different from the first mediator and is a hydrocarbon compound having at least one cyclic and preferably aromatic group and having at least one polar substituent comprising an oxygen atom and/or nitrogen atom, wherein the second mediator comprises fewer than two cyclic groups per polar substituent and preferably at least two and at most ten polar substituents per cyclic group, and wherein the melting point of the second mediator is no more than 80°C below and no more than 50°C above the melting point of the polyolefin (a); and (d) at least one third mediator which is a hydrocarbon compound having at least one cyclic and preferably aromatic group which is unsubstituted or halogen-substituted, wherein the boiling point of the third mediator is no more than 100°C below and no more than 80°C above the melting point of the polyolefin (a); and (e) at least one particulate filler material; wherein the proportion of the filler material (e) amounts to more than 40 vol.% measured at the total volume of the filled composition and/or more than 80 vol.% of the theoretical maximum.