  Iqbal and Toor [Phys. Rev. A {\bf 65}, 022306 (2002)] and [Commun. Theor.
Phys. {\bf 42}, 335 (2004)] generalized the Marinatto-Weber quantum scheme for
$2 \times 2$ games in order to study bimatrix games of $3 \times 3$ dimension,
in particular the Rock-Paper-Scissors game. In our paper we show that Iqbal and
Toor's generalization exhibits certain undesirable property that can
considerably influence the game result. To support our argumentation, in the
further part of the paper we construct the protocol corresponding to the MW
concept for any finite bimatrix game that is free from the fault.
