Re: If Tony Stark dies, who inherits his empire?
There will be "Damien" or Stark Jr down the line. Mommy could be Pepper, Madame Masque, Bethany Cabe, or any other females.
Comics have also shown Tony Stark is capable of transferring his memory and consciousness to another electromechanical entity. Stark will still "lives" in a mainframe and/or robotic husk somewhere.