There's been more recently in the media stories about nonprofit execs increasing their compensation, on their own, over reasonably short periods of time to the result that the nonprofit finds itself out of money. Clearly, CEOs do not have the right to raid the company till. But this question begs a different and what I see as much more common albeit what I understand to be, unacceptable practices by some nonprofit exects. One practice: for the CEO to determine their compensation level without authorization by the board. A second practice: for the CEO to opt not to, without board authorization, to draw a paycheck (for whatever good and sane reason).
Here's what we know in answering these questions. First, we know that a nonprofit board, technically and practically, has one employee: its executive (aka CEO, aka President). The CEO is the only position in the organization who the board hires, supervises, evaluates and is directly responsible for dismissing.
Next, we know that nonprofit boards are held accountable, legally, by the feds, for settetting and not paying excess compensation to their employees. A board must be prepared to prove that the basis for the salary it pays is within a ballpark of comparative positions in comparative organizations.
And, we also know that only the board, as described in the by-laws (often) has the resposibility to discern that the board can have an "agent" and that when it does, it the board, not the agent, establishes the compensation for the agent. The same is generally described for the organization's taking on debt but the board will determine who, how much and when. Of course, processes for these activities will not be included in the by-laws but board policies and procedures will likely state so.
So, back to the original question: can a CEO establish his/her own compensation and can that same CEO defer, without other guidelines or "approval", to not draw a paycheck? The simple answer: no.Two decisions a CEO does not get to make without written board policy or prior consent by the board: creating debt, which includes not drawing a paycheck (although multiple times would give more concern than an isolated incident); and setting one's own pay level, be it multiple times during a period or once a year. These are policy decisions left to the board.