In an overlapping generations model, momentary equilibria are defined as points that lie on the intergenerational offer curve, i.e., they satisfy agents' optimality conditions and market clearing at any date. However, some dynamic sequences commencing from such points may not be considered valid...

We investigate dynamics in an overlapping generations economy with Stone-Geary preferences. We show that a steady state exists, and furthermore and importantly, that there can be a multitude of two cycles even though intertemporal elasticity of substitution in consumption exceeds unity