M. Florenzano, QUASIEQUILIBRIA IN ABSTRACT ECONOMIES - APPLICATION TO THE OVERLAPPING GENERATIONS MODEL, Journal of mathematical analysis and applications, 182(3), 1994, pp. 616-636
A definition and an existence result are given for quasiequilibria in
abstract economies with a (possibly) countably infinite set of agents
and infinite dimensional choice sets. Applied to the overlapping gener
ations exchange model, this result allows us to prove the existence of
equilibria when the commodity space in each period is some Euclidean
space, L(infinity) or some L(p) (p greater-than-or-equal-to 1). The pr
eferences of the agents may be interdependent and are not required to
be transitive or complete. (C) 1994 Academic Press, Inc.