Three-party negotiations are analyzed in which the players are able no
t only to rank alternatives but also have a preference for impasse. In
a dynamic model, players progressively invoke fallback positions to t
ry to prevent inferior outcomes from being implemented in a game of in
complete information. A player's intransigence, or unwillingness to re
treat to fallback positions, generally works to his or her advantage.
Greater size-or, equivalently, an enhanced ability to effect preferred
outcomes-also helps, but intransigence is a potent force by itself. I
n fact, intransigence may prevail despite the fact that there is a so-
called Condorcet alternative that could defeat it and all other altern
atives. The analysis illuminates the rational basis of disagreement an
d why it develops in the manner it does. Extensions of the dynamic mod
el are discussed, including making the preferences of the players for
impasse endogenous.