In this paper, we present a game theoretical semantics for three valued Bochvar-Halldén Systems. Often called "logics of nonsense", these logics have gained a recent interest. While building semantic games for logics of nonsense, we introduce dominant strategies into game semantics. Consequently, we extend these logics by means of game theoretical methods in order to engineer four-valued logics of nonsense, which conservatively extends the three valued systems. We also apply our approach to another well-known three-valued logic, Priest's Logic of Paradox to obtain another game semantics for it. |