My goal for the next few years is to continue my research on argument structure, case marking and grammatical relations in a historical-comparative perspective. Right now a four-year period of researching alternating Dat-Nom/Nom-Dat verbs across Modern Icelandic and Modern German has come to an end. Presently I am engaged in the same kind of research on Modern Romanian, Old Icelandic, Old English, Latin and Ancient Greek. This includes the synchronic motivation for the alternation, the syntactic function of the first argument, be it the dative or the nominative, as well as the historical origin of the alternation, which I believe may be reconstructed to Proto-Indo-European. The case marking found with the Dat-Nom alternant is quite peculiar, as one would here expect Dat-Acc instead of Dat-Nom. The explanation for this may presumably be found in the origin of this construction and the nature of the case system of the proto-language at the time of the emergence of this alternation.