General Equilibrium in Economies with Infinite Dimensional Commodity Spaces

Mostly in ̄nite dimensional economies can be considered limits of ̄nite dimensional economies, in particular when we think of time or product di®erentiation. We investigate conditions under which sequences of quasi-equilibria in ̄nite dimensional economies converge to a quasi-equilibrium in the in ̄nite dimensional economy. It is shown that convergence indeed occurs if the usual continuity assumption concerning the preference relations for ̄nite dimensional commodity spaces is slightly modi ̄ed. key words: general equilibrium, truncation, in ̄nite dimensional commodity space