An oligomer from diarylamines is disclosed which has desirable antioxidant properties in lubricating oils which contain synthetic ester lubricants. The oligomer is desirable for use at higher temperatures where it has less volatility than simple diarylamines. The oligomer has substantial portions of monosubstituted diphenylamine repeat units which result in linear oligomers. Di and polysubstituted diphenylamines may optionally be present as repeat units. These di and polysubstituted diphenylamines generally react as monofunctional reactants in oligomerization and tend to reduce the number of repeat units in the average oligomer.