Most even budged yet: Some cases for game-theoretic semantics in natural language

This paper explores ways of expanding the logical and linguistic theory known as game-theoretic semantics (GTS) to cover some new linguistic categories and expressions. I will show the applicability and relevance of GTS to a cross-sample of linguistic categories, ranging from polarity items (many of which are lexical), the morpheme even, and adverbs of quantification, to the realm of generalised quantifiers. I will also suggest how eventualities can be dealt with in a game-theoretic way. I argue that in each of the cases, GTS provides a theoretically motivated methodological foundation in its treatment of these constructions, and that its potentials are evident in many other linguistic categories as well, seen from the cross-categorial phenomenon of informational independence, which in this paper is illustrated in terms of eventualities.