This is not the non-governing advisory board that some organizations put together, either for advice or for increasing letterhead clout. It's the type of board often seen when the organization founder is the executive director. The executive director is in charge of this board. If so, you've been dreaming of the Patron Model. We might also call this the collective model.
Decisions tend to be made by consensus.
No one person is in charge. The strength of this model is its democratic approach to decision making. Everyone has an equal say in what should happen next. The Cooperative Model, however, requires that the participants have a strong commitment to the mission and lots of time to talk about it. In this model the board is organized along the functional lines of organizational management - fundraising, program, administration and so on.