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来源类型 | Article |
规范类型 | 其他 |
DOI | 10.1134/S0081543817090152 |
Some Facts about the Ramsey Model. | |
Lebedev PD; Tarasyev AM | |
发表日期 | 2017 |
出处 | Proceedings of the Steklov Institute of Mathematics 299 (S1): 123-131 |
出版年 | 2017 |
语种 | 英语 |
摘要 | In modeling the dynamics of capital, the Ramsey equation coupled with the Cobb–Douglas production function is reduced to a linear differential equation by means of the Bernoulli substitution. This equation is used in the optimal growth problem with logarithmic preferences. The study deals with solving the corresponding infinite horizon optimal control problem. We consider a vector field of the Hamiltonian system in the Pontryagin maximum principle, taking into account control constraints. We prove the existence of two alternative steady states, depending on the constraints. This result enriches our understanding of the model analysis in the optimal control framework. |
主题 | Ecosystems Services and Management (ESM) |
URL | http://pure.iiasa.ac.at/id/eprint/15126/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
引用统计 | |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/131168 |
推荐引用方式 GB/T 7714 | Lebedev PD,Tarasyev AM. Some Facts about the Ramsey Model.. 2017. |
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