On the contrary, people often insist that determinism would indeed make choice futile even in such clear-cut situations. Accordingly, many reject determinism and invent an incoherent ‘‘free will’’ to preserve a sense of efficacy of their actions. Even those who explicitly disavow free will may still need to pretend other- wise in order to salvage the feeling that choices matter (for example, Minsky advocates such a subterfuge in The Society of Mind, p. 307). When I reflect that the future and past alike sit immutably in spacetime, I do feel an uncomfortable challenge to the notion that my choices make a difference, even in the most clear-cut instances.
There's an elaborate theory based around Newcomb's Paradox.