The bargaining model with stochastic order of proposing players is properly embedded in continuous time and it is strategically equivalent to the alternating offers model. For all parameter values, the pair of equilibrium proposals corresponds to the Nash bargaining solution of a modified...

There has been a long debate on equilibrium characterization in the negotiation model when players have different time preferences. We show that players behave quite differently under different time preferences than under common time preferences. Conventional analysis in this literature relies...

We introduce a form of pre-play communication that we call preopening. During the preopening, players announce their tentative actions to be played in the underlying game. Announcements are made using a posting system which is subject to stochastic failures. Posted actions are publicly...

People in inferior bargaining positions are often vaguer when they express their preferences. In this paper, we explain how power shapes clarity of communication. We analyze information transmission in a cheap talk bargaining game between an informed Sender and an uninformed Receiver. Our main...