On Envelope Theorems in Economics: Inspired by a Revival of a Forgotten Lecture
This paper studies how envelope theorems have been used in Economics, their history and also who first introduced them. The existing literature is full of them and the reason is that all families of optimal value functions can produce them. The paper is driven by curiosity, but hopefully it will give the reader some new insights.
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- Li, Chuan-Zhong & Löfgren, Karl-Gustaf, 2003.
"Evaluating Projects in a Dynamic Economy: Some New Envelope Results,"
Umeå Economic Studies
613, Umeå University, Department of Economics, revised 04 Dec 2006.
- Chuan-Zhong Li & Karl-Gustaf Löfgren, 2008. "Evaluating Projects in a Dynamic Economy: Some New Envelope Results," German Economic Review, Verein für Socialpolitik, vol. 9, pages 1-16, 02.
- Caputo, Michael R., 1990. "How to do comparative dynamics on the back of an envelope in optimal control theory," Journal of Economic Dynamics and Control, Elsevier, vol. 14(3-4), pages 655-683, October.
- Torsten Schmidt, 2004. "Really Pushing the Envelope: Early Use of the Envelope Theorem by Auspitz and Lieben," History of Political Economy, Duke University Press, vol. 36(1), pages 103-129, Spring.
- Seierstad, Atle, 1982. "Differentiability properties of the optimal value function in control theory," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 303-310, November.
- LaFrance, Jeffrey T. & Barney, L. Dwayne, 1991. "The envelope theorem in dynamic optimization," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 355-385, April.
- Caputo, Michael R, 1990. "Comparative Dynamics via Envelope Methods in Variational Calculus," Review of Economic Studies, Wiley Blackwell, vol. 57(4), pages 689-97, October.
- Aronsson, Thomas & Löfgren, Karl-Gustaf & Nyström, Kaj, 2003. "Stochastic Cost Benefit Rules: A Back-of-a-Lottery-Ticket Calculation Method," Umeå Economic Studies 606, Umeå University, Department of Economics.
- Li, Chuan-Zhong & Löfgren, Karl-Gustaf, 2009. "Genuine Saving under Stochastic Growth," Umeå Economic Studies 779, Umeå University, Department of Economics.
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