On the path-dependence of economic growth

被引:8
作者
Bellaiche, Joel [1 ]
机构
[1] Brandeis Univ, Dept Math, Waltham, MA 02453 USA
关键词
Divisia line integral; Economic growth; Path-dependence; Symplectic geometry; Consistent aggregation; INVARIANCE AXIOMS;
D O I
10.1016/j.jmateco.2009.11.002
中图分类号
F [经济];
学科分类号
02 ;
摘要
The cumulated growth of an economy during a period of time depends on the whole economical history during this period and not only of the situation at the beginning and at the end of the interval. However, if some constraint is made on the set of possible economies, this phenomenon of history-dependence may disappear. We give a simple necessary and sufficient condition on the constraint for this to happen, generalizing results of Samuelson-Swamy and Hulten. Our approach is different, based on differential and symplectic geometry. We also solve the same question for a subsector of the economy. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:163 / 178
页数:16
相关论文
共 21 条
  • [1] [Anonymous], 1989, LECT MACROECONOMICS
  • [2] [Anonymous], COURS LINGUISTIQUE G
  • [3] Arnold V. I, 1989, GRADUATE TEXT MATH
  • [4] Barro R. J., 1997, Macroeconomics
  • [5] Aggregation and market demand: An exterior differential calculus viewpoint
    Chiappori, PA
    Ekeland, I
    [J]. ECONOMETRICA, 1999, 67 (06) : 1435 - 1457
  • [6] Diewert W. E., 1976, Econometrics, V4, P115, DOI [10.1016/0304-4076(76)90009-9, DOI 10.1016/0304-4076(76)90009-9]
  • [7] DIVISIA F, 1926, EC RATIONELLE
  • [8] Fisher J., 1922, MAKING INDEX NUMBERS
  • [9] FUKAYA K, 2007, EXACT LAGRANGIAN SUB
  • [10] COMMENT ON INVARIANCE AXIOMS AND ECONOMIC INDEXES
    HILLINGE.C
    [J]. ECONOMETRICA, 1970, 38 (05) : 773 - &