  We consider bargaining problems which involve two participants, with a
nonempty closed, bounded convex bargaining set of points in the real plane
representing all realizable bargains. We also assume that there is no definite
threat or disagreement point which will provide the default bargain if the
players cannot agree on some point in the bargaining set. However, there is a
nondeterministic threat: if the players fail to agree on a bargain, one of them
will be chosen at random with equal probability, and that chosen player will
select any realizable bargain as the solution, subject to a reasonable
restriction.
