It has recently been realized that quantum strategies have a great
advantage over classical ones in quantum games. However, quantum states
are easily affected by the quantum noise, resulting in decoherence. In this
paper, we investigate the effect of quantum noise on a multiplayer
quantum game with a certain strategic space,
with all players affected by the same quantum noise at the
same time. Our results show
that in a maximally entangled state, a special Nash equilibrium
appears in the range of 0\leq p\leq0.622 (p is the quantum noise
parameter), and then disappears in the range of
0.622