In a two-player alternating-offer bargaining model, if one player can destr
oy the surplus to be allocated, then the value to bargain for is endogenous
, except at the beginning. Even with complete information, the model has pe
rfect equilibria with delayed agreement and/or surplus destruction. The mod
el therefore explains inefficiency and destruction that may appear irration
al. We characterize the set of equilibrium payoffs and its limiting behavio
ur as the time between offers vanishes. Real time delay remains possible ev
en in the limit. We also consider the case of surplus destruction that is e
xogenously limited by the time between offers. JEL Classification: C73, C78
.