  We demonstrate a basic non-classical effect in a quasi-probabilistic toy
model with local Alice and Bob who share classical randomness. Our scenario
differs from the orthodox demonstrations of non-classicality such as violations
of Bell inequalities where both local observers have a free will and randomly
choose their measurement settings. The core of the argument are modified
algorithms by Abramsky and Brandenburger [in Horizons of the Mind, Springer,
Cham (2014)], and Pashayan et. al. [Phys. Rev. Lett. 115, 070501 (2015)] we use
to show that if Bob deterministically performs a quasi-stochastic operation,
Alice and Bob require classical communication to simulate it.
