This paper explores the effects of a "selective acceptance" rule on the out
come of two-issue negotiations. The alternating-offer game introduced here
allows for the possibility that settlement may be reached on one issue whil
e negotiation continues about the other. This model captures features of la
ws that art: generally believed to increase efficiency. The analysis shows
that if one issue is indivisible. there are inefficient subgame perfect equ
ilibria with no Pareto-improving alternative equilibria. With opposing valu
ations, rapid communication guarantees inefficiency. These are unique examp
les of this strong form of inefficiency in an alternating-offer bargaining
game with complete (and perfect) information. Journal of Economic Literatur
e Classification Numbers: C72 J30. (C) 2000 Academic Press.