Ramsey’s growth model
DOI:
https://doi.org/10.5564/jimdt.v5i1.3315Keywords:
Hamiltonian function, utility function, steady-state values, production function, Jacobian matrixAbstract
The objective of this study is to utilize the Ramsey-Cass-Koopmans (RCK) model within a closed economy framework. We utilize a fundamental RCK model and incorporate the steady state condition of the dynamic model by employing matrix eigenvalues. The dynamic model analyzes the utilization of data from the period of 1995-2021, taking into account the production function and population growth. To maximize well-being, it is necessary for capital to be 3 times its current level, while the production amount should be increased by 1.6 times.
Рамсейн өсөлтийн загвар
Энэхүү судалгааны ажлаар хаалттай эдийн засаг дахь Ramsey-Cass-Koopmans (RCK) нарын загварыг ашиглахыг зорилоо. Бид RCK нарын үндсэн загварыг ашигласан ба нэмэлтээр матрицын хувийн утгуудыг ашиглан тогтвортой төлөвийн динамик загвар нь асимптот тогтвортой эсэхийг шалгах нөхцөлийг тусгасан. Тодорхойлсон динамик загварууд нь асимптот тогтвортой эсэхийг 1995-2021 оны статистикийн тоон мэдээлэл, үйлдвэрийн функц болон хүн амын өсөлтийн үнэлгээг ашиглан шалгасан. Шинжилгээний үр дүнд Монголын эдийн засгийн хувьд нийгмийн сайн сайхан байдалд хүргэх максимум хэрэглээг хангахын тулд капиталын хэмжээг 3 дахин, үйлдвэрлэлийн хэмжээг 1.6 дахин нэмэгдүүлэх шаардлагатай байна.
Түлхүүр үгс: Ханамжийг максимумчлах, Гамильтоны функц, тогтвортой төлөв, үйлдвэрлэлийн функцийн үнэлгээ, Жаковын матриц
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