  The non-local game scenario provides a powerful framework to study the
limitations of classical and quantum correlations, by studying the upper bounds
of the winning probabilities those correlations offer in cooperation games
where communication between players is prohibited. Building upon results
presented in the seminal work of Cleve et al. [1], a straightforward
construction to compute the Tsirelson bounds for simple 2-player XOR games is
presented. The construction is applied explicitly to some examples, including
the Entanglement Assisted Orientation in Space (EAOS) game of Brukner et al.
[2], proving for the first time that their proposed quantum strategy is in fact
the optimal, as it reaches the Tsirelson bound.
