  Coordination and cooperation are among the most important issues of game
theory. Recently, the attention turned to game theory on graphs and social
networks. Encouraged by interesting results obtained in quantum evolutionary
game analysis, we study cooperative Parrondo's games in a quantum setup. The
game is modeled using multidimensional quantum random walks with biased coins.
We use the GHZ and W entangled states as the initial state of the coins. Our
analysis shows than an apparent paradox in cooperative quantum games and some
interesting phenomena can be observed.
