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The special functions are intensively used in mathematical physics to solve differential systems. We argue that their use should be most useful in economic dynamics, notably in the assessment of the transition dynamics of endogenous growth models. We illustrate our argument on the Lucas-Uzawa...
Persistent link: https://www.econbiz.de/10005008230
We study a Ramsey problem in infinite and continuous time and space. The problem is discounted both temporally and spatially. Capital flows to locations with higher marginal return. We show that the problem amounts to optimal control of parabolic partial differential equations (PDEs). We rely on...
Persistent link: https://www.econbiz.de/10005008325
In this paper, we make use of the Sobolev space W exp.1,1 (R+, R exp.n) to derive at once the Pontryagin conditions for the standard optimal growth model in continuous time, including a necessary and sufficient transversality condition. An application to the Ramsey model is given. We use an...
Persistent link: https://www.econbiz.de/10005043219
developed as a benchmark case. The concept of MPNE is then enhanced with adaptive learning about the environmental dynamics and …
Persistent link: https://www.econbiz.de/10010662674
solve a benchmark problem without learning behavior. At the date of switching, the consumption level is shown to drop, as … induced growth advantage. In a second step, we introduce learning. The learning curve involves fixed costs and incentives to … wait as well. Adoption is shown to depend on the growth advantage of switching net of obsolescence and learning fixed costs …
Persistent link: https://www.econbiz.de/10005043528
Using data from the Community Innovation Survey for Belgium in two consecutive periods, this paper explores the relationship between firm-level innovation activities and the propensity to start exporting. To measure innovation, we include indicators of both innovative effort (R&D activities) as...
Persistent link: https://www.econbiz.de/10008550190
The paper combines analytic and numeric tools to investigate a nonlinear optimal control problem relevant to the economics of climate change. The problem describes optimal investments into pollution mitigation and environmental adaptation at a macroeconomic level. The steady-state analysis of...
Persistent link: https://www.econbiz.de/10010927707
Persistent link: https://www.econbiz.de/10008550208
This study is motivated by the evidence of global warming, which is caused by human activity but affects the efficiency of the economy. We employ the integrated assessment Nordhaus DICE-2007 model [16]. Generally speaking, the framework is that of dynamic optimization of the discounted...
Persistent link: https://www.econbiz.de/10008550241
A comprehensive study of the linkages between demographic and economic variables should not only account for vintage specificity but also incorporate the relevant economic and demographic decisions in a complete optimal control set-up. Inthis paper, a methodological set-up allowing to reach...
Persistent link: https://www.econbiz.de/10005065379