  We use the example of playing a 2-player game with entangled quantum objects
to investigate the effect of quantum correlation. We find that for simple game
scenarios it is classical correlation that is the central feature and that
these simple quantum games are not sensitive to the quantum part of the
correlation. In these games played with quantum objects it is possible to
transform a game such as Prisoner's Dilemma into the game of Chicken. We show
that this behaviour, and the associated enhanced equilibrium payoff over
playing the game with quantum objects in non-entangled states, is entirely due
to the classical part of the correlation. Generalizing these games to the pure
strategy 2-player quantum game where the players have finite strategy sets and
a projective joint measurement is made on the output state produced by the
players, we show that a given quantum game of this form can always be
reproduced by a classical model, such as a communication channel. Where
entanglement is a feature of the these 2-player quantum games the matrix of
expected outcomes for the players can be reproduced by a classical channel with
correlated noise.
