SOLUTIONS OF TRANSFERABLE UTILITY COOPERATIVE GAMES

A uniform competitive solution predicts a configuration of payoff vect ors associated with coalitions which are likely to form in a cooperati ve game. This configuration satisfies the internal and external stabil ity principles and the predicted payoffs are both individually and coa litionally rational. The uniform competitive solution is a modified ve rsion of the competitive solution concept introduced by R.D. McKelvey, P. C. Ordeshook and M. D. Winer (1978). A parallel study of these two solution concepts emphasizes their common properties and the existing differences. Existence theorems of uniform competitive solutions are provided under very general assumptions and it is proved that competit ive solutions exists only for some special classes of transferable uti lity games.