Econometrica: Jan 1964, Volume 32, Issue 1

Markets with a Continuum of Traders

https://doi.org/0012-9682(196401/04)32:1/2<39:MWACOT>2.0.CO;2-6
p. 39-50

Robert J. Aumann

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 "equilibrium allocations," i.e., allocations which constitute a competitive equilibrium when combined with an appropriate price structure.
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