Quasi-equilibria in Banach spaces with lower semi-continuous preferences

This paper establishes a general result on the existence of non-trivial quasi-equilibria for economies with infinitely many commodities, in which consumers’ preferences are assumed to be lower semi-continuous, but not necessarily to have open lower sections nor to be open valued. Such preference relations include the lexicographic orderings. In addition, production technologies are not required to satisfy free disposal condition. Copyright Springer-Verlag Berlin/Heidelberg 2006