More on the cut and choose game
  We improve some ancient results of Velickovic on the cut and choose (c&c) game on complete Boolean algebras.   (1) If Nonempty has a winning strategy for c&c game on $B$ then $B$ is semiproper.   (2) If Nonempty has a winning strategy and $B$ has $2^{\aleph _0}$ -c.c. then Nonempty has a winning strategy in the descending chain game.   (3) Cons ($B$ is $\aleph _1$-distributive implies Nonempty has a winning strategy in c&c on $B$ )   We also give some new examples of forcings where Nonempty has or does not have a winning strategy in c&c game. 
Jind\v{r}ich Zapletal