一个内生人口生育率可解的C-K模型

一个内生人口生育率可解的C-K模型 A C K MODEL WITH SOLVABLE ENDOGENOUS FERTILITY 蔡东汉 Cai Donghan 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University 得到一个具有可解内生人口出生率的Ｃａｓｓ－Ｋｏｏｐｍａｎｓ经济增长模型．给出此模型在不同劳动和资本的结合方式下存在唯一最优增长轨道和稳态解的条件．最后讨论存在多重最优增长轨道和多重稳态解的可能性态和文中主要结果的经济意义． A Cass Koopmans modle with solvable endogeous fertility is given. In this model, the fertility of the household can be expressed by a analytic function of per capita capital and per capital comsumption. Proving that when the per capita consumption is fixed, the fertility descreases as the per capita capital increasing; When the per capita capital is fixed, the fertility is increases as the per capita consumption increasing. We prove that at least one steady state exists under the conditions which the parament α and θ satisfies. At end of this paper, we discuss the posibility of exsiting multiple growth paths and multiple stead states and their relations. 可解内生人口生育率 Cass－Koopmans模型 稳态解 最优增长轨道 solvable endogenous fertility Cass Koopmans model multiple frowth paths mulitple steady states O29 1998-01-01 2021-04-01 1