We extend the notion of Coalition Proof Nash Equilibrium to a class of
matching games with private information. This solution concept is app
lied to an adverse selection insurance economy and is shown to yield a
unique allocation: the optimal allocation without cross-subsidy. This
contrasts sharply with the outcome in alternative institutional setti
ngs for negotiations among players, as modeled for instance by the Inc
entive Compatible Core. Journal of Economic Literature Classification
Numbers C71, C72, D82. (C) 1995 Academic Press, Inc.