The paper extends Nash's theory of two-person bargaining games with fixed threats
to bargaining situations with incomplete information. After defining such bargaining
situations, a formal bargaining model (bargaining game) will be proposed for them.
This bargaining game, regarded as a noncooperative game, will be analyzed in terms
of a certain class of equilibrium points with special stability properties, to be
called "strict" equilibrium points. Finally an axiomatic theory will be developed
in order to select a unique solution from the set X of payoff vectors corresponding
to such strict equilibrium points (as well as to probability mixtures of the latter).
It will be shown that the solution satisfying the axioms proposed in this paper is
the point where a certain generalized Nash product is maximized over this set X.
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