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Capital and Knowledge: Integrating Arrow’s Learning-by-Doing, the Walrasian Equilibrium Theory and Neoclassical Growth Theory

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  • Wei-Bin Zhang

    (Wei-Bin Zhang, Ritsumeikan Asia Pacific University, Jumonjibaru, Beppu-Shi, Oita-ken, 874-8577, Japan. E-mail: wbz1@apu.ac.jp)

Abstract
This article proposes a neoclassical growth model with endogenous capital accumulation and knowledge creation. The model integrates Arrow’s learning by doing, Uzawa’s two-sector growth model and Walrasian general equilibrium theory. We use a utility function, which determines leisure time, saving and consumption with utility optimization without leading to a higher dimensional dynamic system like the Ramsey approach. The dynamics of J -household economy is described by a (  J + 1)-dimensional differential equations system. We simulate the motion of the model and demonstrate transitional and long-term effects of changes in the propensity to save, the propensity to use leisure time, the population, the learning-by-doing efficiency and knowledge utilization efficiency. The comparative dynamic analysis provides some insights into issues related to inequality and growth. JEL Classification: D51, D31, O41, E13

Suggested Citation

  • Wei-Bin Zhang, 2014. "Capital and Knowledge: Integrating Arrow’s Learning-by-Doing, the Walrasian Equilibrium Theory and Neoclassical Growth Theory," South Asian Journal of Macroeconomics and Public Finance, , vol. 3(2), pages 267-293, December.
    • Handle: RePEc:sae:smppub:v:3:y:2014:i:2:p:267-293
    DOI: 10.1177/2277978714548638
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    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Drugeon, Jean-Pierre & Venditti, Alain, 2001. "Intersectoral external effects, multiplicities & indeterminacies," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 765-787, May.
    3. H. Uzawa, 1971. "On a Two-Sector Model of Economic Growth," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 3, pages 19-26, Palgrave Macmillan.
    4. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    5. Paul A. Samuelson, 1959. "A Modern Treatment of the Ricardian Economy: I. The Pricing of Goods and of Labor and Land Services," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 73(1), pages 1-35.
    6. Richard A. Brecher & Zhiqi Chen & Ehsan U. Choudhri, 2002. "Absolute and Comparative Advantage, Reconsidered: The Pattern of International Trade with Optimal Saving," Review of International Economics, Wiley Blackwell, vol. 10(4), pages 645-656, November.
    7. Martin, Philippe & Ottaviano, Gianmarco I P, 2001. "Growth and Agglomeration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 947-968, November.
    8. Lucas Bretschger, 2013. "Population Growth and Natural-Resource Scarcity: Long-Run Development under Seemingly Unfavorable Conditions," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(3), pages 722-755, July.
    9. Martin, Philippe & Rogers, Carol Ann, 1997. "Stabilization Policy, Learning-by-Doing, and Economic Growth," Oxford Economic Papers, Oxford University Press, vol. 49(2), pages 152-166, April.
    10. Ehrlich, Isaac & Lui, Francis, 1997. "The problem of population and growth: A review of the literature from Malthus to contemporary models of endogenous population and endogenous growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 205-242, January.
    11. Mikael Lindahl & Alan B. Krueger, 2001. "Education for Growth: Why and for Whom?," Journal of Economic Literature, American Economic Association, vol. 39(4), pages 1101-1136, December.
    12. Bjarne S. Jensen & Mogens E. Larsen, 2005. "General Equilibrium Dynamics of Multi-Sector Growth Models," DEGIT Conference Papers c010_003, DEGIT, Dynamics, Economic Growth, and International Trade.
    13. Young, Alwyn, 1993. "Invention and Bounded Learning by Doing," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 443-472, June.
    14. J. E. Stiglitz, 1967. "A Two-Sector Two Class Model of Economic Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(2), pages 227-238.
    15. P. A. Diamond, 1971. "Disembodied Technical Change in a Two-Sector Model," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 7, pages 53-60, Palgrave Macmillan.
    16. Galeazzo Impicciatore & Luca Panaccione & Francesco Ruscitti, 2012. "Walras’ theory of capital formation: an intertemporal equilibrium reformulation," Journal of Economics, Springer, vol. 106(2), pages 99-118, June.
    17. Fumitaka Furuoka, 2009. "Population Growth and Economic Development: New Empirical Evidence from Thailand," Economics Bulletin, AccessEcon, vol. 29(1), pages 1-14.
    18. Luigi L. Pasinetti, 1960. "A Mathematical Formulation of the Ricardian System," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 27(2), pages 78-98.
    19. Alwyn Young, 1991. "Learning by Doing and the Dynamic Effects of International Trade," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 369-405.
    20. repec:bla:reviec:v:10:y:2002:i:4:p:645-56 is not listed on IDEAS
    21. Wei-Bin Zhang, 2012. "Economic Growth with Heterogeneous Households,Gender Division of Labor, and Elastic Labor Supply," Journal of Income Distribution, Ad libros publications inc., vol. 21(2), pages 15-37, June.
    22. David N. Weil & Oded Galor, 1999. "From Malthusian Stagnation to Modern Growth," American Economic Review, American Economic Association, vol. 89(2), pages 150-154, May.
    23. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 104(2), pages 340-375, June.
    24. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    25. Nocco, Antonella, 2005. "The rise and fall of regional inequalities with technological differences and knowledge spillovers," Regional Science and Urban Economics, Elsevier, vol. 35(5), pages 542-569, September.
    26. Robert J. Barro, 2001. "Human Capital and Growth," American Economic Review, American Economic Association, vol. 91(2), pages 12-17, May.
    27. Kristin J. Forbes, 2000. "A Reassessment of the Relationship between Inequality and Growth," American Economic Review, American Economic Association, vol. 90(4), pages 869-887, September.
    28. Bjarne Jensen & Mogens Larsen, 2005. "General equilibrium dynamics of multi-sector growth models," Journal of Economics, Springer, vol. 86(1), pages 17-56, December.
    29. Bandyopadhyay, Debasis & Tang, Xueli, 2011. "Understanding the economic dynamics behind growth-inequality relationships," Journal of Macroeconomics, Elsevier, vol. 33(1), pages 14-32, March.
    30. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    31. Bjarne Jensen & Mogens Larsen, 2005. "General equilibrium dynamics of multi-sector growth models," Journal of Economics, Springer, vol. 10(1), pages 17-56, December.
    32. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    33. Castelló-Climent, Amparo & Hidalgo-Cabrillana, Ana, 2012. "The role of educational quality and quantity in the process of economic development," Economics of Education Review, Elsevier, vol. 31(4), pages 391-409.
    34. Wanjun Yao & Tomoko Kinugasa & Shigeyuki Hamori, 2013. "An empirical analysis of the relationship between economic development and population growth in China," Applied Economics, Taylor & Francis Journals, vol. 45(33), pages 4651-4661, November.
    35. Arrow, Kenneth J, 1974. "General Economic Equilibrium: Purpose, Analytic Techniques, Collective Choice," American Economic Review, American Economic Association, vol. 64(3), pages 253-272, June.
    36. Zhang, Wei-Bin, 1993. "A woman's labor participation and economic growth : Creativity, knowledge utilization and family preference," Economics Letters, Elsevier, vol. 42(1), pages 105-110.
    37. Carol Ann Rogers & Philippe Martin, 1997. "Stabilization Policy, Growth and Learning by Doing," Post-Print hal-03416319, HAL.
    38. Gould, Eric D & Moav, Omer & Weinberg, Bruce A, 2001. "Precautionary Demand for Education, Inequality, and Technological Progress," Journal of Economic Growth, Springer, vol. 6(4), pages 285-315, December.
    39. Herbert E. Scarf, 1967. "The Approximation of Fixed Points of a Continuous Mapping," Cowles Foundation Discussion Papers 216R, Cowles Foundation for Research in Economics, Yale University.
    40. Shoven,John B. & Whalley,John, 1992. "Applying General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521266550, September.
    41. Dana, Rose-Anne & Florenzano, Monique & Le Van, Cuong & Levy, Dominique, 1989. "Production prices and general equilibrium prices : A long-run property of a Leontief economy," Journal of Mathematical Economics, Elsevier, vol. 18(3), pages 263-280, June.
    42. Alwyn Young, 1991. "Learning by Doing and the Dynamic Effects of International Trade," NBER Working Papers 3577, National Bureau of Economic Research, Inc.
    43. Jerik Hanushek & Dennis Kimko, 2006. "Schooling, Labor-force Quality, and the Growth of Nations," Voprosy obrazovaniya / Educational Studies Moscow, National Research University Higher School of Economics, issue 1, pages 154-193.
    44. Carmen Alvarez Albelo & Antonio Manresa, 2005. "Internal Learning By Doing And Economic Growth," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 30(2), pages 1-23, December.
    45. Vassilis Tselios, 2008. "Income and educational inequalities in the regions of the European Union: Geographical spillovers under welfare state restrictions," Papers in Regional Science, Wiley Blackwell, vol. 87(3), pages 403-430, August.
    46. Mino, Kazuo, 1996. "Analysis of a Two-Sector Model of Endogenous Growth with Capital Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(1), pages 227-251, February.
    47. Fleisher, Belton M. & Hu, Yifan & Li, Haizheng & Kim, Seonghoon, 2011. "Economic transition, higher education and worker productivity in China," Journal of Development Economics, Elsevier, vol. 94(1), pages 86-94, January.
    48. Chari, V V & Hopenhayn, Hugo, 1991. "Vintage Human Capital, Growth, and the Diffusion of New Technology," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1142-1165, December.
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    More about this item

    Keywords

    Walrasian general equilibrium theory; neoclassical growth theory; learning by doing; elastic labour supply; knowledge creation; capital accumulation;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical

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