  We give an example of irrational vector $\pmb{\theta} \in \mathbb{R}^2$ such
that the set $Bad_{\pmb{\theta}} := \{(\eta_1,\eta_2): \inf_{x\in\mathbb{N}}
x^{\frac{1}{2}} \max_{i=1,2} \|x \theta_i-\eta_i\|>0\}$ is not absolutely
winning with respect to McMullen's game.
