The view that what one ought, or is obligated, to do is the best that one can do faces a problem even from the perspective of someone sympathetic with the view: there are cases of group action where, through lack of cooperation, the best that can be done is not done and yet where, it seems, each individual does the best that he or she can do. In this paper, various attempts to deal with this problem are criticized and then (...) a new solution is offered, one which requires "connected" individuals to be "transigent" relative to one another concerning possible group outcomes. (shrink)