  We propose the study of quantum games from the point of view of quantum
information theory and statistical mechanics. Every game can be described by a
density operator, the von Neumann entropy and the quantum replicator dynamics.
There exists a strong relationship between game theories, information theories
and statistical physics. The density operator and entropy are the bonds between
these theories. The analysis we propose is based on the properties of entropy,
the amount of information that a player can obtain about his opponent and a
maximum or minimum entropy criterion. The natural trend of a physical system is
to its maximum entropy state. The minimum entropy state is a characteristic of
a manipulated system i.e. externally controlled or imposed. There exist tacit
rules inside a system that do not need to be specified or clarified and search
the system equilibrium under the collective welfare principle. The other rules
are imposed over the system when one or many of its members violate this
principle and maximize its individual welfare at the expense of the group.
