We introduce a game form that captures a noncooperative dimension of t
he consistency property of bankruptcy rules. Any consistent and monoto
ne rule is fully characterized by a bilateral principle and consistenc
y. Like the consistency axiom, our game form, together with a bilatera
l principle, yields the corresponding consistent bankruptcy rule as a
result of a unique outcome of Nash equilibria. The result holds for a
large class of consistent and monotone rules, including the Constraine
d Equal Award, the Propositional Rule, and many other well known rules
. Moreover, all of the subgame perefect equilibria are coalition-proof
in the associated game in strategic form. (C) 1997 Academic Press.