Quasi-equilibrium in economies with infinite dimensional commodity spaces : a truncation approach

Mostly infinite dimensional economies can be considered as limits of finite dimensional economies; in particular, when we think of time or product differentiation. We investigate conditions under which sequences of quasi-equilibria in finite dimensional economies converge to a quasi-equilibrium in the infinite dimensional economy. It is shown that convergence indeed occurs if the usual continuity assumption concerning the preference relations for finite dimensional commodity spaces is slightly modified.