Equilibrium conditions in smooth infinite economies with separable uti
lities are described by Fredholm maps, which are Frechet differentiabl
e. Therefore, Smale's extension of Sard's theorem can be used to study
infinite economies. We study structural stability and local uniquenes
s of equilibrium in smooth infinite economies and relate the theory of
markets to modern Fredholm theory. (C) 1998 Elsevier Science S.A.