Transversality Conditions for Stochastic Higher-Order Optimality: Continuous and Discrete Time Problems
AbstractHigher-order optimization problems naturally appear when investigating the effects of a patent with finite length, as in the pioneering work of Futagami and Iwaisako (2007). In this paper, we establish the Euler equations and transversality conditions necessary for analyzing such higher-order optimization problems. We develop our results for stochastic general reduced-form models and consider cases of both continuous and discrete time. We employ our results to establish the Euler equations and transversality conditions for the simplified household maximization problem in Futagami and Iwaisako (2007).
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1203.3869.
Date of creation: Mar 2012
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-03-28 (All new papers)
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.:
- Takashi Kamihigashi, 2001.
"Necessity of Transversality Conditions for Stochastic Problems,"
Department of Economics Working Papers
01-02, Stony Brook University, Department of Economics.
- Kamihigashi, Takashi, 2003. "Necessity of transversality conditions for stochastic problems," Journal of Economic Theory, Elsevier, vol. 109(1), pages 140-149, March.
- Takashi Kamihigashi, 2000. "Necessity of Transversality Conditions for Stochastic Problems," Discussion Paper Series 115, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi, 2002. "Necessity of Transversality Conditions for Stochastic Problems," Discussion Paper Series 128, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi, 2002.
"A simple proof of the necessity of the transversality condition,"
Springer, vol. 20(2), pages 427-433.
- Takashi Kamihigashi, 2001. "A Simple Proof of the Necessity of the Transversality Condition," Discussion Paper Series 116, Research Institute for Economics & Business Administration, Kobe University.
- Futagami, Koichi & Iwaisako, Tatsuro, 2007. "Dynamic analysis of patent policy in an endogenous growth model," Journal of Economic Theory, Elsevier, vol. 132(1), pages 306-334, January.
- Takashi Kamihigashi, 2000. "A simple proof of Ekeland and Scheinkman's result on the necessity of a transversality condition," Economic Theory, Springer, vol. 15(2), pages 463-468.
- Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-23, May.
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