The phrase "assigning themselves" is correct and usable in written English.
It can be used when referring to individuals taking on responsibilities or roles for themselves, often in a context of self-organization or self-designation.
Example: "The team members are assigning themselves specific tasks to ensure the project runs smoothly."
Alternatives: "designating themselves" or "allocating roles to themselves."
But if the justices thought they were thereby assigning themselves only a limited set of issues to review, they were mistaken.
She and Azari got a projector, and they sometimes watched three movies a day, assigning themselves curricula: Tarkovsky Week, Kieslowski Week, Bergman Week, Buñuel Week.
Nor do any of them mention IR35 - the tax rules which affect many computer contractors who lessen their tax payments by assigning themselves as the employees of a company they own.
In the current political atmosphere of Labor domination, they have taken on an added edge, assigning themselves the role of the opposition in British political life that the weakened Conservative Party is unable to fulfill.
And as a subtle way to inculcate early business smarts, the class puts students hard at work creating their own teams, assigning themselves roles like owner and manager, making uniforms and brainstorming about how to build and maintain a stadium.
For example, Robertson (2001) documents the preoccupation with numbers among Canadian women at risk of breast cancer, with such women intent on assigning themselves a specific risk figure (for example, 'a 50/50 chance' of being diagnosed with the disease).
Using bee inspired task quitting agents can re-assign themselves to higher-demanded tasks by removing failed team assignments where requirements are not met.
Many Europeans assigned themselves roles in the underground in retrospect.
Others had assigned themselves to chores no one else had thought of yet.
They are free to paint their own picture with the sizable palette they have assigned themselves.
Racism would have made a hard course even harder, so black photographers assigned themselves other tasks.
