We consider two-person bargaining games with interdependent preferences and
bilateral incomplete information. We show that in both the ultimatum game
and the two-stage alternating-offers game, our equilibrium predictions are
consistent with a number of robust experimental regularities that falsify t
he standard game-theoretic model. occurrence of disagreements, disadvantage
ous counteroffers, and outcomes that come close to the equal split of the p
ie. In the context of infinite-horizon bargaining, the implications of the
model pertaining to fair outcomes are even stronger: In particular the Ceas
e property in our case generates "almost" 50-50 splits of the pie, almost i
mmediately, The present approach thus provides a positive theory for the fr
equently encountered phenomenon of the 50-50 division of the gains from tra
de.