... follows. If the state is [S, i, x] and the action Player i takes is“reject”, then the new state is [S, i]; if the action is “accept”, then the newstate is [x]. If the state is [S, i] and the action ... bargainers is the first to make an offer. If the playerwho starts the bargaining has the preferences 2while the player who is the first to respond has the preferences 1, then Theorem 3.4 implies ... of an offer, there is room for a counterproposal. Such aperception ignores the fact that the death of one of the players or the endof the world may preclude any counterproposal. The model with...