If an assignment remains in unaccepted state, normally nothing happens. It is merely a communication indication. It has no effect on any other site function.

The exception to that is the "Assignment Expiration Deadline". If that function is being used by an organization, it is possible that the assignment will be canceled by either the administrator or, if enabled, automatically by the system when the deadline is passed.

A game/assignment in unaccepted state will still be invoiced the same as any other game.