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A hidden variable model reproducing the quantum mechanical probabilities fora spin singlet is presented. The model violates only the hypothesis ofindependence of the distribution for the hidden variables from the detectorssettings and vice versa (Measurement Independence). It otherwise satisfies thehypotheses of Setting Independence, Outcome Independence -- made in thederivation of Bell inequality -- and that of compliance with Malus's Law --made in the derivation of Leggett inequality. It is shown that the violation ofthe Measurement Independence hypothesis may be explained alternatively byassuming a non-local influence of the detectors settings on the hiddenvariables, or by taking the hidden variable to influence the choice of settings(limitation of free will), or finally by purporting a conspiracy. It isdemonstrated that the last two cases admit a realization through existing localclassical resources.

A simple model for the spin-singlet: mathematical equivalence of non-locality, slave will, and conspiracy