We study a noncooperative game of coalition formation, based on an und
erlying game in coalitional form. We introduce order independent equil
ibria (OIE). A strategy profile is an OIE if, for any specification of
first movers in the sequential game, it remains an equilibrium and le
ads to the same payoff. Our results are: (1) Payoffs in OIE that use p
ure, stationary strategies must be in the core of the underlying game
in coalitional form. (2) If the underlying game has the property that
all its subgames have nonempty cores then, for each payoff vector, the
re exists an OIE with the same payoff. Journal of Economic Literature
Classification Numbers: C70, C71, C72, C78. (C) 1995 Academic Press, I
nc.