Perhaps it’s more accurate to say that the will is the faculty by which a person exercises ownership over his mind and body. Ownership is controlling the use of means. Means are items used in action, not action itself. Action is applying means to attain ends.
Take a look at Murray Rothbard’s book, The Ethics of Liberty.
https://mises.org/system/tdf/The%20Ethics%20of%20Liberty_0.pdf?file=1&type=document
In chapter 6, “A Crusoe Social Philosophy,” Rothbard lays out the argument.
