In this introductory article we provide an overview of the range of the phenomena that can be referred to as differential argument marking (DAM). We begin with an overview of the existing terminology and give a broad definition of the DAM to cover the phenomena discussed in the present volume and in the literature under this heading. We then consider various types of the phenomenon which have figured prominently in studies of DAM in various traditions. First, we differentiate between arguments of the same predicate form and arguments of different predicate forms. Within the first type we discuss DAM systems triggered by inherent lexical argument properties and the ones triggered by non-inherent, discourse-based argument properties, as well ...