I consider an alternating offer bargaining game which is played by a r
isk neutral buyer and seller, where the value of the good to be traded
follows a Markov process. For these games the existence of a perfect
equilibrium is proved and the set of equilibrium payoffs and strategie
s are characterised. The main results are (a) if the buyer is less pat
ient than the seller, then there will be delays in the players reachin
g an agreement, the buyer is forced into a suboptimal consumption poli
cy and the equilibrium is ex-ante inefficient, and (b) if the buyer is
more patient than the seller, then there is a unique and efficient eq
uilibrium where agreement is immediate. (C) 1998 Elsevier Science B.V.
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