I argue that semi-lexical have is a transitive verb in the sense that it has the same selectional properties as lexical transitives but is lexically underspecified. I propose a system of argument linking that assigns verbs a set of ‘D-selectors’ (selectors for determiner phrases) that are distinguished by a ‘thematic feature’ ±θ; selectors are licensed by linking rules that associate them with a position in a conceptual structure on the basis of their ±θ-specification. I argue that have is underspecified both syntactically (its initial D-selector can be +θ or –θ) and semantically (it lacks a lexical conceptual structure, which must thus be provided in syntax). I show that this enables the major interpretations of have (causative, affected experiencer, possessive, locative, affectee) to be derived straightforwardly. A particular contribution of the paper is its description and analysis of ‘affectee have’, which, as I show, poses particular problems for recent analyses such as Kim (2012) and Myler (2016).
