Stationary overlapping-generations models can exhibit fluctuations. Ho
wever, the fluctuations, which have been studied by Benhabib and Day (
Journal of Economic Dynamics and Control, 1982, 4, 37-55), Gale (Journ
al of Economic Theory, 1973, 6, 12-36) Grandmont (Econometrica, 1985,
53, 995-1046) and others, are not in the core even though they are Par
eto-optimal. In the present paper, it is shown that general stationary
overlapping-generation economies can have periodic equilibria in the
core.