SOME RESULTS ABOUT RCK MODEL WITH ENDOGENOUSE FERTILITY  

作　　者：蔡东汉 

出　　处：《Acta Mathematica Scientia》1999年第2期220-225,共6页数学物理学报（B辑英文版）

摘　　要：In this paper, incorporating the fertility in the utility function and the production function, an improved Ramsey-Cass-Koopmans(RCK) model with endogenous fertility is obtained. In this model, the fertility can be expressed as a function of per capita capital and per capital consumption. It has been proved that at least one equilibrium point exists and the equilibrium point is unique under a condition. The author discusses the possibility of existing multiple equilibria, their geometrical relationship and explains the economic sense of the main results.In this paper, incorporating the fertility in the utility function and the production function, an improved Ramsey-Cass-Koopmans(RCK) model with endogenous fertility is obtained. In this model, the fertility can be expressed as a function of per capita capital and per capital consumption. It has been proved that at least one equilibrium point exists and the equilibrium point is unique under a condition. The author discusses the possibility of existing multiple equilibria, their geometrical relationship and explains the economic sense of the main results.

关 键 词：RCK Model endogenouse fertility dynamical system equilibrium. 

分 类 号：F224[经济管理—国民经济]