Аннотация:The paper is a survey of all available descriptive data on a rare agreement pattern observed in East Caucasian (Nakh-Daghestanian) languages under which nominal dependents take different forms depending on whether their head is in the nominative case or any other case. I show that, depending on the language, “agreement in obliqueness” is attested in cardinal numerals, demonsratives, adjectives (and participles) and nominal possessors. In some form, it exists in Nakh, Tsezic and some Lezgic languages and in Khinalug; while it seems to be completely absent from the languages of the Avar-Andic and Dargwa branches and from Lak.