This study tries to modify the von Neumann and Morgenstern (vN-M) solution. As with \textit{J. C. Harsanyi} [Manage. Sci., Theory 20, 1472--1495 (1974; Zbl 0335.90063)], vN-M solution is viewed in a dynamic sense. The final outcome of a game not only depends on the ability of players and standards of behavior of the particular society but also upon which imputation is proposed first. An absorbing property is obtained as a result of modifying the bargaining process of Harsanyi. This modified solution concept maintains the internal stability condition of vN-M solution, and replaces their external stability condition by this absorbing property.