On the least core and the Mas-Colell bargaining set

We show that the least core of a TU coalitional game with a finite set of p layers is contained in the Mas-Colell bargaining set. This result is extend ed to games with a measurable space of players in which the worth of the gr and coalition is at least that of any other coalition in the game. As a con sequence, we obtain an existence theorem for the Mas-Colell bargaining set in TU games with a measurable space of players. Journal of Economic Literat ure Classification Number: C71. (C) 1999 Academic Press.