Endogenous discounting and the domain of the felicity function
The objective is to show that endogenous discounting models should use a felicity function constrained to a positive domain. A variety of articles use the Mangasarian or Arrow and Kurz condition as a sufficient condition for optimality, which restricts felicity to a negative domain. Since the level of the felicity function shows up in the optimal path it leads to qualitatively different solutions when one uses a negative or positive felicity function. We suggest reasons why the domain should be positive. We furthermore derive sufficiency conditions for concavity of a transformed Hamiltonian if the felicity function is assumed to be positive.
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.:
- Becker, Gary S & Mulligan, Casey B, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, MIT Press, vol. 112(3), pages 729-58, August.
- Ingmar Schumacher, 2009.
"Endogenous discounting via wealth, Twin-Peaks and the role of technology,"
- Schumacher, Ingmar, 2009. "Endogenous discounting via wealth, twin-peaks and the role of technology," Economics Letters, Elsevier, vol. 103(2), pages 78-80, May.
- SCHUMACHER, Ingmar, 2006. "Endogenous discounting via wealth, twin-peaks and the role of technology," CORE Discussion Papers 2006104, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Ingmar, SCHUMACHER, 2006. "Endogenous Discounting via Wealth, Twin-Peaks and the Role of Technology," Discussion Papers (ECON - Département des Sciences Economiques) 2006059, Université catholique de Louvain, Département des Sciences Economiques.
- Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August.
- Epstein, Larry G & Hynes, J Allan, 1983. "The Rate of Time Preference and Dynamic Economic Analysis," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 611-35, August.
- Nairay, Alain, 1984. "Asymptotic behavior and optimal properties of a consumption-investment model with variable time preference," Journal of Economic Dynamics and Control, Elsevier, vol. 7(3), pages 283-313, September.
- Obstfeld, Maurice, 1990.
"Intertemporal dependence, impatience, and dynamics,"
Journal of Monetary Economics,
Elsevier, vol. 26(1), pages 45-75, August.
- Maurice Obstfeld, 1989. "Intertemporal Dependence, Impatience, and Dynamics," NBER Working Papers 3028, National Bureau of Economic Research, Inc.
- Palivos, Theodore & Wang, Ping & Zhang, Jianbo, 1997. "On the Existence of Balanced Growth Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 205-24, February.
- Le Kama, Alain Ayong & Schubert, Katheline, 2007.
"A Note On The Consequences Of An Endogenous Discounting Depending On The Environmental Quality,"
Cambridge University Press, vol. 11(02), pages 272-289, April.
- Alain Ayong Le Kama & Katheline Schubert, 2007. "A note on the consequences of an endogenous discounting depending on the environmental quality," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00206326, HAL.
- David Fielding & Sebastian Torres, 2009. "Health, Wealth, Fertility, Education, and Inequality," Review of Development Economics, Wiley Blackwell, vol. 13(1), pages 39-55, 02.
- Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
- Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
- Becker, Robert A. & Boyd, John III & Sung, Bom Yong, 1989. "Recursive utility and optimal capital accumulation. I. Existence," Journal of Economic Theory, Elsevier, vol. 47(1), pages 76-100, February.
- Becker, Robert A & Boyd, John H, III, 1992. "Recursive Utility and Optimal Capital Accumulation II: Sensitivity and Duality Theory," Economic Theory, Springer, vol. 2(4), pages 547-63, October.
When requesting a correction, please mention this item's handle: RePEc:eee:ecmode:v:28:y:2011:i:1:p:574-581. 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.