Pareto-Efficiency and Endogenous Fertility: A Simple Model

被引:3
作者
Michel, Philippe [1 ]
Wigniolle, Bertrand [2 ]
机构
[1] Univ Mediterrane, GREQAM, Aix En Provence, France
[2] Univ Paris, Ctr Econ Sorbonne, Paris, France
关键词
endogenous fertility; Pareto-efficiency; POPULATION-GROWTH;
D O I
10.1080/08898480802619587
中图分类号
C921 [人口统计学];
学科分类号
摘要
Pareto-efficiency of the competitive equilibrium is studied for a simple economy with overlapping generations and endogenous fertility. For CES utility and production functions, the properties of the economy are closely related to the two elasticities of substitution. The competitive equilibrium exists and is unique if the sum of the two elasticities is not less than one. For certain parameters, the equilibrium is both in under-accumulation and inefficient. When the sum of the two elasticities is greater than two, an equilibrium converging in under-accumulation is Pareto-efficient.
引用
收藏
页码:36 / 59
页数:24
相关论文
共 12 条
[1]  
BECKER GS, 1960, U NATL BUREAU C SERI, V11, P208
[2]  
Birdsall N., 1988, Handbook of Development Economics, V1, P477
[3]   EXISTENCE OF WEAKLY MAXIMAL PROGRAMMES IN A MULTI-SECTOR ECONOMY [J].
BROCK, WA .
REVIEW OF ECONOMIC STUDIES, 1970, 37 (110) :275-280
[4]  
CONDERUIZ JI, 2004, 200413 FEDEA
[5]  
de la Croix DavidPhilippe Michel., 2002, THEORY EC GROWTH DYN
[6]  
DIAMOND PA, 1965, AM ECON REV, V55, P1126
[7]   ENDOGENOUS FERTILITY AND OPTIMAL-POPULATION SIZE [J].
ECKSTEIN, Z ;
WOLPIN, KI .
JOURNAL OF PUBLIC ECONOMICS, 1985, 27 (01) :93-106
[8]   Efficiency with endogenous population growth [J].
Golosov, Mikhail ;
Jones, Larry E. ;
Tertilt, Michele .
ECONOMETRICA, 2007, 75 (04) :1039-1071
[9]   POPULATION-GROWTH AND OPTIMALITY - WHEN DOES SERENDIPITY HOLD [J].
MICHEL, P ;
PESTIEAU, P .
JOURNAL OF POPULATION ECONOMICS, 1993, 6 (04) :353-362
[10]   On efficient child making [J].
Michel, Philippe ;
Wigniolle, Bertrand .
ECONOMIC THEORY, 2007, 31 (02) :307-326