Abstract This paper deals with the weak-core of normal form games with a continuum set of players and without side payments. This concept is an approximation of the core introduced by Weber, Shapley and Shubik. The weak-core is slightly larger than Aumann's [alpha]-core when adapted to large...

In this paper we study the existence of the α-core for an n-person game with incomplete information. We follow a Milgrom–Weber–Balder formulation of a game with incomplete information. The players adopt behavioral strategies represented by Young measures. The game unrolls in one step at the...