A non-dictatorial criterion for optimal growth models
AbstractThere are two main approaches for defining social welfare relations for an economy with infinite horizon. The first one is to consider the set of intertemporal utility streams generated by a general set of bounded consumptions and define a preference relation between them. This relation is ideally required to satisfy two main axioms, the Pareto axiom, which guarantees efficiency and the Anonymity axiom, which guarantees equity. Basu and Mitra (2003) show that it is impossible to represent by a function a preference relation embodying both requirements, and Basu and Mitra (2007) propose and characterize a new welfare criterion called utilitarian social welfare relation. In the same framework, Chichilnisky (1996) proposes two axioms that capture the idea of sustainable growth : non-dictatorship of the present and non-dictatorship of the future, and exhibits a mixed criterion, adding a discounted utilitarian part, which gives a dictatorial role to the present, and a long term part, which gives a dictatorial role to the future. The drawback of Chichilnisky's approach is that it often does not allow to explicity characterize optimal growth paths with optimal control techniques. Our aim is less general than Chichilnisky's and Basu and Mitra's : we want to have a non-dictatorial criterion for optimal growth models. We restrict ourselves to the set of utilities of consumptions which are generated by a specific technology. We show that the undiscounted utilitarian criterion pioneered by Ramsey (1928) is not only convenient if one wants to solve an optimal growth problem but also sustainable, efficient and equitable.
Download InfoIf 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.
Bibliographic InfoPaper provided by HAL in its series Post-Print with number halshs-00275758.
Date of creation: Apr 2008
Date of revision:
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00275758
Contact details of provider:
Web page: http://hal.archives-ouvertes.fr/
Anonymity; intergenerational equity; natural resources; non-dictatorship of the future; non-dictatorship of the present; optimal growth models; Pareto; social welfare function; social welfare relation; sustainability; utilitarian undiscounted criterion.;
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.:
- Graciela Chichilnisky, 1997. "What Is Sustainable Development?," Land Economics, University of Wisconsin Press, vol. 73(4), pages 467-491.
- Brock, William A, 1970. "An Axiomatic Basis for the Ramsey- Weizsacker Overtaking Criterion," Econometrica, Econometric Society, vol. 38(6), pages 927-29, November.
- Heal, G., 1998. "Valuing the Future: Economic Theory and Sustainability," Papers 98-10, Columbia - Graduate School of Business.
- Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
- Graciela Chichilnisky, 1996.
"An axiomatic approach to sustainable development,"
Social Choice and Welfare,
Springer, vol. 13(2), pages 231-257, April.
- Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/416, Paris Dauphine University.
- Ayong Le Kama, Alain D., 2001. "Sustainable growth, renewable resources and pollution," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1911-1918, December.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD).
If references are entirely missing, you can add them using this form.