Dharma Initiative
The episodes "LaFleur" and "He's Our You" indicate that mathematician Horace Goodspeed was in charge of Dharma Initiative operations on the Island, at least from the very early 1970s through the time of "the Incident". Key decisions that needed to be made on the Island were taken by a committee, which included all department heads, including Head of Research Stuart Radzinsky and security head LaFleur (the name the time-traveling Sawyer was assuming). They, in turn, answer to the Dharma Initiative HQ based at the University of Michigan, as evidenced when Radzinsky threatens to call the University to override a key decision by Goodspeed. In the episode "The Variable", Daniel Faraday confirmed that Dharma Initiative Headquarters, at least through 1977, was located at Ann Arbor, Michigan.