Figure 2: Space of possible average payoffs functions.
From: Connection between Bell nonlocality and Bayesian game theory

The pairs of payoffs achievable with classical advice are represented by the back polytope (square). Players sharing quantum advice have access to a strictly larger set of possible payoff function (blue circle), and hence have an advantage over classical players. The red star represents the particular quantum strategy mentioned in the main text. Players having access to super-quantum advice can reach all points, in particular the point F1=F2=2, a no-signalling Nash equilibrium.