We investigate an infinite horizon two-person simultaneous move bargai
ning game with incomplete information and discounted payoffs. The game
takes the form of a concession game: in each period, each player choo
ses to give in or hold out. The game continues until at least one of t
he players chooses to give in, at which point agreement has been reach
ed and the game terminates. For any discount factor, if the players' p
riors about each other's type are sufficiently asymmetric, there is a
unique Nash equilibrium in which the two players alternate in their wi
llingness to give in. (C) 1997 Academic Press.