I apply the 'Theory of Social Situations' (Greenberg, 1990) to a speci
al class of extensive form games of perfect information and without ch
ance moves. I prove the existence of an 'Optimistic Stable Standard of
Behavior' (OSSB) which is associated with such games. This class incl
udes all n-person discounted sequential bargaining games where a finit
e set of strictly positive offers can be made at each stage. The deriv
ed OSSB yields an appealing selection from among the subgame perfect p
aths. As is always the case, OSSB is strongly related to the von Neuma
nn and Morgenstern abstract stable sets.