For nonlocal hidden variable ontologies to allow independent choices by several agents, the measurement context must incorporate time-ordering of the agents' decisions.
Suarez, All-possible-worlds: Unifying many-worlds and copenhagen, in the light of quantum contextuality, arXiv preprint arXiv:1712.06448v2 (2019)
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Kochen-Specker nonlocal hidden variables must include time-ordering to allow for measurement independence of several agents
For nonlocal hidden variable ontologies to allow independent choices by several agents, the measurement context must incorporate time-ordering of the agents' decisions.