  This paper consider the possibility of using some quantum tools in decision
making strategies. In particular, we consider here a dynamical open quantum
system helping two players, $\G_1$ and $\G_2$, to take their decisions in a
specific context. We see that, within our approach, the final choices of the
players do not depend in general on their initial {\em mental states}, but they
are driven essentially by the environment which interacts with them. The model
proposed here also considers interactions of different nature between the two
players, and it is simple enough to allow for an analytical solution of the
equations of motion.
