  It has been extensively shown in past literature that Bayesian Game Theory
and Quantum Non-locality have strong ties between them. Pure Entangled States
have been used, in both common and conflict interest games, to gain
advantageous payoffs, both at the individual and social level. In this paper we
construct a game for a Mixed Entangled State such that this state gives higher
payoffs than classically possible, both at the individual level and the social
level. Also, we use the I-3322 inequality so that states that aren't helpful as
advice for Bell-CHSH inequality can also be used. Finally, the measurement
setting we use is a Restricted Social Welfare Strategy (given this particular
state).
