How do pessimistic agents save miners? A STIT based approach

This paper develops a new STIT based deontic logic, pessimistic utilitarian deontic logic, capable of analyzing the miners puzzle. The key idea of the semantics of this logic is: one set of possible worlds is better than another set of possible worlds iff the worst world in the first set is better than the worst world in the second. This semantics gives an idea to write predictions in the miners scenario meanwhile blocks the unwilling statement.