The effect of quantum noise on multiplayer quantum game

It has recently been realized that quantum strategies have a greatadvantage over classical ones in quantum games. However, quantum statesare easily affected by the quantum noise, resulting in decoherence. In thispaper, we investigate the effect of quantum noise on a multiplayerquantum game with a certain strategic space,with all players affected by the same quantum noise at thesame time. Our results showthat in a maximally entangled state, a special Nash equilibriumappears in the range of 0leq pleq0.622 (p is the quantum noiseparameter), and then disappears in the range of0.622