Uniform competitive solutions are stable configurations of proposals predic
ting coalition formation and effective payoffs. Such "solutions"' exist fbr
almost all properly defined cooperative games and, therefore, can be propo
sed as substitute of the core. The new existence results obtained in the pr
esent paper concern also the case when the coalitional function of a game h
as empty values. All concepts and results are implemented in the competitiv
e analysis of the exchange economies.