Key points are not available for this paper at this time.
It is suggested that the most natural mathematical model for a market with perfect competition is one in which there is a continuum of traders (like the continuum of points on a line). It is shown that the core of such a market coincides with the set of its allocations, i.e., allocations which constitute a competitive equilibrium when combined with an appropriate price structure.
Robert J. Aumann (Wed,) studied this question.