The vNM stable set of von Neumann and Morgenstern imposes credibility on myopic coalitional deviations. It is also amenable to the consideration of farsightedness in coalitional stability, as proposed by Harsanyi (1974), and more recently reformulated by Ray and Vohra (2015). However, the resulting farsighted stable set does not insist that coalitions make maximal moves: while they do improve on existing outcomes, they may do {\it even better} by moving elsewhere. Or other coalitions might intervene to impose their favored moves. The purpose of this paper is to show that every farsighted stable set satisfying an easily verifiable property is unaffected by the imposition of this stringent maximality requirement. The property is satisfied for all known farsighted stable sets.