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On the path-dependence of economic growth

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  • Bellaïche, Joël

Abstract

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.

Suggested Citation

  • Bellaïche, Joël, 2010. "On the path-dependence of economic growth," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 163-178, March.
  • Handle: RePEc:eee:mateco:v:46:y:2010:i:2:p:163-178
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    References listed on IDEAS

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    1. Samuelson, Paul A & Swamy, S, 1974. "Invariant Economic Index Numbers and Canonical Duality: Survey and Synthesis," American Economic Review, American Economic Association, vol. 64(4), pages 566-593, September.
    2. Hulten, Charles R, 1973. "Divisia Index Numbers," Econometrica, Econometric Society, vol. 41(6), pages 1017-1025, November.
    3. P. A. Chiappori & I. Ekeland, 1999. "Aggregation and Market Demand: An Exterior Differential Calculus Viewpoint," Econometrica, Econometric Society, vol. 67(6), pages 1435-1458, November.
    4. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    5. Sato, Kazuo, 1976. "The Meaning and Measurement of the Real Value Added Index," The Review of Economics and Statistics, MIT Press, vol. 58(4), pages 434-442, November.
    6. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, January.
    7. repec:dau:papers:123456789/6427 is not listed on IDEAS
    8. Hillinger, Claude, 1970. "Comment on Invariance Axioms and Economic Indexes," Econometrica, Econometric Society, vol. 38(5), pages 773-774, September.
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    Cited by:

    1. Sun, Ruoyan, 2013. "Kinetics of jobs in multi-link cities with migration-driven aggregation process," Economic Modelling, Elsevier, vol. 30(C), pages 36-41.

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