  We investigate game-theoretic variants of cardinal invariants of the
continuum. The invariants we treat are the splitting number $\mathfrak{s}$, the
reaping number $\mathfrak{r}$, the bounding number $\mathfrak{b}$, the
dominating number $\mathfrak{d}$, and the additivity number of the null ideal
$\operatorname{add}(\mathsf{null})$. By using games on splitting families, we
find a new cardinal invariant that differs from previously studied cardinal
invariants. We also consider games, called tallness games, defined according to
ideals on $\omega$ and characterize that each of Player I and Player II has a
winning strategy.
