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.
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- Karen Pittel, 2002. "Sustainability and Endogenous Growth," Books, Edward Elgar Publishing, number 2776, June.
- 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.
- Becker, Robert A & Boyd, John H, III, 1992. "Recursive Utility and Optimal Capital Accumulation II: Sensitivity and Duality Theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(4), pages 547-63, October.
- 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.
- 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, 2009. "Endogenous discounting via wealth, Twin-Peaks and the role of technology," Working Papers hal-00356233, HAL.
- 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)
- Le Kama, Alain Ayong & Schubert, Katheline, 2007. "A Note On The Consequences Of An Endogenous Discounting Depending On The Environmental Quality," Macroeconomic Dynamics, Cambridge University Press, vol. 11(02), pages 272-289, April.
- 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.
- Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August.
- 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.
- 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.
- 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.
- Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
- repec:hal:journl:halshs-00206326 is not listed on IDEAS
- Gary S. Becker & Casey B. Mulligan, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, Oxford University Press, vol. 112(3), pages 729-758.
- 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.
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