On the Existence of Endogenous Cycles
Endogenous business cycles have been known to exist in the overlapping-generations model since quite a long time. The literature seems to imply that these cycles may exist only if individuals show rates of preference for the present that are high enough, and these values have to be so high that they are unrealistic. While this observation is true if preferences are homothetic, we show in this paper that, once the homotheticity requirement is dropped, a sufficient condition for the existence of cycles is that the Engel curve defined for equal prices (therefore taken equal to one) has at least a point where the slope is smaller than one. This condition expresses a mild form of impatience. Given this condition, it is always possible to find a discounted utility function (for any arbitrary given discount rate smaller than one) and positive endowments such that the corresponding overlapping- generations model features cycles of order two.
(This abstract was borrowed from another version of this item.)
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.