On "sectoral supply functions" and some critical roles for the consumptions and leisure arbitrages in the stability properties of a competitive equilibrium with heterogeneous goods
Abstract This article appraises a pareto-optimal competitive equilibrium with heterogeneous consumption goods through a new representation of competitive prices and the building of a pair of new aggregate structures labelled "sectoral supply functions" -- SSF -- that are defined over the aggregate values of the inputs and the relative price of the capital good. An alternative dual appraisal of a class of preferences that take explicit account of heterogeneous consumptions and leisure arbitrages then allows for an unrestricted class of general statements on the stability properties of an optimal accumulation environment that subsumes earlier results as special cases. These are based upon the features of Hicksian demands and it is argued that the retainment of a given sectoral configuration in factors shares and the imposition of concavity and positive income elasticities do not suffice to rule out optimal cycles if consumptions or leisure considered by pairs happen to exhibit complementaries. The SSF approach is finally argued to outshine the PPF protocole because it allows for a simple explicit derivation in the Cobb-Douglas case that have become, since the seminal contribution of Benhabib and Farmer in the nineties, the cornerstone of macroeconomic analysis.
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.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Benhabib, Jess & Nishimura, Kazuo, 1983.
"Competitive Equilibrium Cycles,"
83-30, C.V. Starr Center for Applied Economics, New York University.
- Becker, Robert A. & Tsyganov, Eugene N., 2002. "Ramsey Equilibrium in a Two-Sector Model with Heterogeneous Households," Journal of Economic Theory, Elsevier, vol. 105(1), pages 188-225, July.
- Benhabib, Jess & Farmer, Roger E.A., 1991.
"Indeterminacy and Increasing Returns,"
91-59, C.V. Starr Center for Applied Economics, New York University.
- Emmanuel M. Drandakis, 1963. "Factor Substitution in the Two-Sector Growth Model," Cowles Foundation Discussion Papers 154R, Cowles Foundation for Research in Economics, Yale University.
When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:46:y:2010:i:6:p:1030-1063. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.