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Oscillations In The Walrasian General Equilibrium Theory With Endogenous Wealth And Human Capital Accumulation

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  • Wei Bin ZHANG

    (Ritusmeikan Asia Pacific University, Japan)

Abstract

This paper generalizes the dynamic growth model with wealth accumulation and human capital accumulation proposed by Zhang (2013) by making all the parameters as time-dependent parameters. The original model is an extension of the Uzawa-Lucas model to a heterogeneous household economy with multiple ways of human capital accumulation. It synthesizes the basic ideas of the Walrasian general equilibrium theory, Arrow’s learning by producing, Zhang’s learning by consuming (creative learning), the neoclassical growth theory, and the Uzawa-Lucas two-sector model. The behavior of the household is described with an alternative approach to household behavior. The economic system consists of one production sector and one education sector. Households are different in propensities to save, to obtain education and to consume, and in learning abilities. We simulate the model to demonstrate existence of equilibrium points, motion of the dynamic system, and oscillations due to different exogenous shocks.

Suggested Citation

  • Wei Bin ZHANG, 2016. "Oscillations In The Walrasian General Equilibrium Theory With Endogenous Wealth And Human Capital Accumulation," EcoForum, "Stefan cel Mare" University of Suceava, Romania, Faculty of Economics and Public Administration - Economy, Business Administration and Tourism Department., vol. 5(1), pages 1-41, January.
    • Handle: RePEc:scm:ecofrm:v:5:y:2016:i:1:p:41
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    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. Andrés Erosa & Tatyana Koreshkova & Diego Restuccia, 2010. "How Important Is Human Capital? A Quantitative Theory Assessment of World Income Inequality," Review of Economic Studies, Oxford University Press, vol. 77(4), pages 1421-1449.
    3. Chiarella,Carl & Flaschel,Peter, 2011. "The Dynamics of Keynesian Monetary Growth," Cambridge Books, Cambridge University Press, number 9780521180184.
    4. Robert E. Lucas Jr. & Benjamin Moll, 2014. "Knowledge Growth and the Allocation of Time," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 1-51.
    5. Wei-Bin Zhang, 2013. "A Synthesis Of The Uzawa-Lucas Model With The Walrasian-General-Equilibrium And Neoclassical-Growth Theories," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 58(199), pages 7-38, October -.
    6. 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.
    7. 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.
    8. Nakajima, Tetsuya & Nakamura, Hideki, 2009. "The price of education and inequality," Economics Letters, Elsevier, vol. 105(2), pages 183-185, November.
    9. Jacob A. Mincer, 1974. "Introduction to "Schooling, Experience, and Earnings"," NBER Chapters, in: Schooling, Experience, and Earnings, pages 1-4, National Bureau of Economic Research, Inc.
    10. Behrman, Jere R & Pollak, Robert A & Taubman, Paul, 1982. "Parental Preferences and Provision for Progeny," Journal of Political Economy, University of Chicago Press, vol. 90(1), pages 52-73, February.
    11. Thompson, Peter, 2001. "The Microeconomics of an R&D-Based Model of Endogenous Growth," Journal of Economic Growth, Springer, vol. 6(4), pages 263-283, December.
    12. Julian di Giovanni & Andrei A. Levchenko & Isabelle Mejean, 2014. "Firms, Destinations, and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 82(4), pages 1303-1340, July.
    13. 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.
    14. Lazear, Edward P, 1977. "Education: Consumption or Production?," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 569-597, June.
    15. Audra J. Bowlus & Chris Robinson, 2012. "Human Capital Prices, Productivity, and Growth," American Economic Review, American Economic Association, vol. 102(7), pages 3483-3515, December.
    16. Maoz, Yishay D & Moav, Omer, 1999. "Intergenerational Mobility and the Process of Development," Economic Journal, Royal Economic Society, vol. 109(458), pages 677-697, October.
    17. Jacob A. Mincer, 1974. "Schooling, Experience, and Earnings," NBER Books, National Bureau of Economic Research, Inc, number minc74-1, March.
    18. Oded Galor & Joseph Zeira, 1993. "Income Distribution and Macroeconomics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 35-52.
    19. Xavier Gabaix, 2011. "The Granular Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(3), pages 733-772, May.
    20. Barro, Robert J. & Lee, Jong Wha, 2013. "A new data set of educational attainment in the world, 1950–2010," Journal of Development Economics, Elsevier, vol. 104(C), pages 184-198.
    21. Ragchaasuren Galindev, 2011. "Leisure goods, education attainment and fertility choice," Journal of Economic Growth, Springer, vol. 16(2), pages 157-181, June.
    22. 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.
    23. Zhu, Rong, 2011. "Individual heterogeneity in returns to education in urban China during 1995-2002," Economics Letters, Elsevier, vol. 113(1), pages 84-87, October.
    24. Jess Benhabib & Jesse Perla & Christopher Tonetti, 2014. "Catch-up and fall-back through innovation and imitation," Journal of Economic Growth, Springer, vol. 19(1), pages 1-35, March.
    25. John Laitner, 2000. "Earnings within Education Groups and Overall Productivity Growth," Journal of Political Economy, University of Chicago Press, vol. 108(4), pages 807-832, August.
    26. 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.
    27. Glomm, Gerhard & Kaganovich, Michael, 2008. "Social security, public education and the growth-inequality relationship," European Economic Review, Elsevier, vol. 52(6), pages 1009-1034, August.
    28. Wei-Bin Zhang, 2007. "Economic Growth with Learning by Producing, Learning by Education and Learning by Consuming," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 5(1), pages 21-38.
    29. Stella, Andrea, 2015. "Firm dynamics and the origins of aggregate fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 55(C), pages 71-88.
    30. Cox, Donald, 1987. "Motives for Private Income Transfers," Journal of Political Economy, University of Chicago Press, vol. 95(3), pages 508-546, June.
    31. John Fender & Ping Wang, 2003. "Educational Policy in a Credit Constrained Economy with Skill Heterogeneity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 939-964, August.
    32. Fernandez, Raquel & Rogerson, Richard, 1998. "Public Education and Income Distribution: A Dynamic Quantitative Evaluation of Education-Finance Reform," American Economic Review, American Economic Association, vol. 88(4), pages 813-833, September.
    33. Jacob A. Mincer, 1974. "Schooling and Earnings," NBER Chapters, in: Schooling, Experience, and Earnings, pages 41-63, National Bureau of Economic Research, Inc.
    34. Robert J. Barro, 2001. "Human Capital and Growth," American Economic Review, American Economic Association, vol. 91(2), pages 12-17, May.
    35. Nikolaj Malchow‐Møller & Søren Bo Nielsen & Jan Rose Skaksen, 2011. "Taxes, Tuition Fees, and Education for Pleasure," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(2), pages 189-215, April.
    36. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    37. Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1, March.
    38. 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.
    39. 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.
    40. 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.
    41. Chatterjee, Satyajit & Ravikumar, B., 1992. "A neoclassical model of seasonal fluctuations," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 59-86, February.
    42. Richard Florida & Charlotta Mellander & Kevin Stolarick, 2008. "Inside the black box of regional development: human capital, the creative class and tolerance," Journal of Economic Geography, Oxford University Press, vol. 8(5), pages 615-649, September.
    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. Lucas, Robert E., 1977. "Understanding business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 7-29, January.
    45. Wei-Bin Zhang, 2005. "Differential Equations, Bifurcations, and Chaos in Economics," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 5827, February.
    46. Dur, Robert & Glazer, Amihai, 2008. "Subsidizing Enjoyable Education," Labour Economics, Elsevier, vol. 15(5), pages 1023-1039, October.
    47. Banerjee, Abhijit V., 2004. "Educational policy and the economics of the family," Journal of Development Economics, Elsevier, vol. 74(1), pages 3-32, June.
    48. Heckman, James J, 1976. "A Life-Cycle Model of Earnings, Learning, and Consumption," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 11-44, August.
    49. 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.
    50. Chen, M. Keith & Chevalier, Judith A., 2008. "The taste for leisure, career choice, and the returns to education," Economics Letters, Elsevier, vol. 99(2), pages 353-356, May.
    51. Parente, Stephen L & Prescott, Edward C, 1994. "Barriers to Technology Adoption and Development," Journal of Political Economy, University of Chicago Press, vol. 102(2), pages 298-321, April.
    52. Easterlin, Richard A., 1981. "Why Isn't the Whole World Developed?," The Journal of Economic History, Cambridge University Press, vol. 41(1), pages 1-17, March.
    53. Buly A. Cardak, 2004. "Education Choice, Endogenous Growth and Income Distribution," Economica, London School of Economics and Political Science, vol. 71, pages 57-81, February.
    54. 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.
    55. Nancy Stokey, 2015. "Catching up and falling behind," Journal of Economic Growth, Springer, vol. 20(1), pages 1-36, March.
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