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Chaos, Complexity, and Nonlinear Economic Theory

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  • Wei-Bin Zhang

    (Ritsumeikan Asia Pacific University, Japan)

Abstract

What do economic chaos and uncertainties mean in rational or irrational economic theories? How do simple deterministic interactions among a few variables lead to unpredictable complex phenomena? Why is complexity of economies causing so many conflicts and confusions worldwide?

Suggested Citation

  • Wei-Bin Zhang, 2023. "Chaos, Complexity, and Nonlinear Economic Theory," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 13173, February.
    • Handle: RePEc:wsi:wsbook:13173
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    1. Stutzer, Michael J., 1980. "Chaotic dynamics and bifurcation in a macro model," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 353-376, May.
    2. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    3. Antoci, Angelo & Galeotti, Marcello & Russu, Paolo, 2011. "Poverty trap and global indeterminacy in a growth model with open-access natural resources," Journal of Economic Theory, Elsevier, vol. 146(2), pages 569-591, March.
    4. Enrique G. Mendoza & Marco E. Terrones, 2008. "An Anatomy Of Credit Booms: Evidence From Macro Aggregates And Micro Data," NBER Working Papers 14049, National Bureau of Economic Research, Inc.
    5. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    6. Iwaisako, Tatsuro & Tanaka, Hitoshi, 2017. "Product cycles and growth cycles," Journal of International Economics, Elsevier, vol. 105(C), pages 22-40.
    7. Chiarella,Carl & Flaschel,Peter, 2011. "The Dynamics of Keynesian Monetary Growth," Cambridge Books, Cambridge University Press, number 9780521180184, Enero-Abr.
    8. 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.
    9. Luciano Fanti, 2015. "Environmental Standards and Cournot Duopoly: A Stability Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 61(4), pages 577-593, August.
    10. 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.
    11. Stefano Bosi & Thomas Seegmuller, 2012. "Mortality Differential and Growth: What do we Learn From the Barro-Becker Model?," Mathematical Population Studies, Taylor & Francis Journals, vol. 19(1), pages 27-50, January.
    12. Heinrich Hock & David Weil, 2012. "On the dynamics of the age structure, dependency, and consumption," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 1019-1043, July.
    13. King, Robert G & Rebelo, Sergio T, 1993. "Transitional Dynamics and Economic Growth in the Neoclassical Model," American Economic Review, American Economic Association, vol. 83(4), pages 908-931, September.
    14. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    15. Benhabib, Jess & Evans, George W. & Honkapohja, Seppo, 2014. "Liquidity traps and expectation dynamics: Fiscal stimulus or fiscal austerity?," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 220-238.
    16. Deng, Liuchun & Khan, M. Ali, 2018. "On growing through cycles: Matsuyama’s M-map and Li–Yorke chaos," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 46-55.
    17. Zhao, LiuWei & Du, Jianguo & Wang, QiWei, 2019. "Nonlinear analysis and chaos control of the complex dynamics of multi-market Cournot game with bounded rationality," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 45-57.
    18. Timo Boppart & Per Krusell, 2020. "Labor Supply in the Past, Present, and Future: A Balanced-Growth Perspective," Journal of Political Economy, University of Chicago Press, vol. 128(1), pages 118-157.
    19. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
    20. Toichiro Asada & Michal Demetrian & Rudolf Zimka, 2019. "On dynamics in a Keynesian model of monetary and fiscal stabilization policy mix with twin debt accumulation," Metroeconomica, Wiley Blackwell, vol. 70(3), pages 365-383, July.
    21. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
    22. Grossman, Gene M & Helpman, Elhanan, 1991. "Endogenous Product Cycles," Economic Journal, Royal Economic Society, vol. 101(408), pages 1214-1229, September.
    23. Krugman, Paul, 1979. "A Model of Innovation, Technology Transfer, and the World Distribution of Income," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 253-266, April.
    24. Gary S. Becker & Kevin M. Murphy & Robert Tamura, 1994. "Human Capital, Fertility, and Economic Growth," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, Third Edition, pages 323-350, National Bureau of Economic Research, Inc.
    25. Stephanie Schmitt‐Grohé & Martín Uribe, 2009. "Liquidity traps with global Taylor Rules," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 85-106, March.
    26. Rupa Chakrabarti, 1999. "Endogenous fertility and growth in a model with old age support," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 393-416.
    27. ,, 2013. "The good, the bad, and the ugly: An inquiry into the causes and nature of credit cycles," Theoretical Economics, Econometric Society, vol. 8(3), September.
    28. Lafuite, A.-S. & Loreau, M., 2017. "Time-delayed biodiversity feedbacks and the sustainability of social-ecological systems," Ecological Modelling, Elsevier, vol. 351(C), pages 96-108.
    29. Bernanke, Ben & Gertler, Mark, 1989. "Agency Costs, Net Worth, and Business Fluctuations," American Economic Review, American Economic Association, vol. 79(1), pages 14-31, March.
    30. H. Oniki & H. Uzawa, 1965. "Patterns of Trade and Investment in a Dynamic Model of International Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(1), pages 15-37.
    31. Wei-Bin Zhang, 2006. "Economic Growth with Income and Wealth Distribution," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-50633-6, October.
    32. Wei-Bin Zhang, 2017. "Government Debt and Education Subsidies by Synthesizing the Uzawa-Lucas Two-Sector Model and Diamond Growth-Debt Model," Journal of Interdisciplinary Economic Research, Allensbach Hochschule, issue 1, pages 22-33.
    33. Kiminori Matsuyama, 1999. "Growing Through Cycles," Econometrica, Econometric Society, vol. 67(2), pages 335-348, March.
    34. 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.
    35. Bosi, Stefano & Desmarchelier, David, 2018. "An economic model of metapopulation dynamics," Ecological Modelling, Elsevier, vol. 387(C), pages 196-204.
    36. Jayme Walenta, 2018. "The Limits to Private-sector Climate Change Action: The Geographies of Corporate Climate Governance," Economic Geography, Taylor & Francis Journals, vol. 94(5), pages 461-484, October.
    37. 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.
    38. Galor, Oded & Weil, David N, 1996. "The Gender Gap, Fertility, and Growth," American Economic Review, American Economic Association, vol. 86(3), pages 374-387, June.
    39. Agliari, Anna & Naimzada, Ahmad & Pecora, Nicolò, 2018. "Boom-bust dynamics in a stock market participation model with heterogeneous traders," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 458-468.
    40. Onozaki, Tamotsu & Sieg, Gernot & Yokoo, Masanori, 2000. "Complex dynamics in a cobweb model with adaptive production adjustment," Journal of Economic Behavior & Organization, Elsevier, vol. 41(2), pages 101-115, February.
    41. Matsuyama, Kiminori, 2001. "Growing through Cycles in an Infinitely Lived Agent Economy," Journal of Economic Theory, Elsevier, vol. 100(2), pages 220-234, October.
    42. Paul Zak, 1999. "Kaleckian Lags in General Equilibrium," Review of Political Economy, Taylor & Francis Journals, vol. 11(3), pages 321-330.
    43. Tabuchi, Takatoshi, 2014. "Historical trends of agglomeration to the capital region and new economic geography," Regional Science and Urban Economics, Elsevier, vol. 44(C), pages 50-59.
    44. Hiroaki Sasaki, 2013. "Cyclical growth in a Goodwin–Kalecki–Marx model," Journal of Economics, Springer, vol. 108(2), pages 145-171, March.
    45. Marek Szydłowski & Adam Krawiec, 2004. "A note on Kaleckian lags in the Solow model," Review of Political Economy, Taylor & Francis Journals, vol. 16(4), pages 501-506.
    46. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August.
    47. Day, Richard H. & Huang, Weihong, 1990. "Bulls, bears and market sheep," Journal of Economic Behavior & Organization, Elsevier, vol. 14(3), pages 299-329, December.
    48. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    49. Matsuyama, Kiminori & Sushko, Iryna & Gardini, Laura, 2016. "Revisiting the model of credit cycles with Good and Bad projects," Journal of Economic Theory, Elsevier, vol. 163(C), pages 525-556.
    50. Kiminori Matsuyama, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 617-650.
    51. Benhabib, Jess & Evans, George W. & Honkapohja, Seppo, 2014. "Liquidity traps and expectation dynamics: Fiscal stimulus or fiscal austerity?," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 220-238.
    52. Qinglai Meng & Chong Yip, 2004. "Investment, interest rate rules, and equilibrium determinacy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(4), pages 863-878, May.
    53. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    54. Wei-Bin Zhang, 2020. "Global Development, Trade, Human Capital, And Business Cycles," Oradea Journal of Business and Economics, University of Oradea, Faculty of Economics, vol. 5(special), pages 9-29, June.
    55. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March.
    56. Nicola Bellomo & Sarah de Nigris & Damián Knopoff & Matteo Morini & Pietro Terna, 2020. "Swarms dynamics approach to behavioral economy: Theoretical tools and price sequences," Post-Print hal-03119433, HAL.
    57. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
    58. Martin Gassebner & Michael J. Lamla & Jan-Egbert Sturm, 2011. "Determinants of pollution: what do we really know?," Oxford Economic Papers, Oxford University Press, vol. 63(3), pages 568-595, July.
    59. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    60. Wirl Franz, 1995. "The Cyclical Exploitation of Renewable Resource Stocks May Be Optimal," Journal of Environmental Economics and Management, Elsevier, vol. 29(2), pages 252-261, September.
    61. Bella, Giovanni & Mattana, Paolo & Venturi, Beatrice, 2017. "Shilnikov chaos in the Lucas model of endogenous growth," Journal of Economic Theory, Elsevier, vol. 172(C), pages 451-477.
    62. Lux, Thomas, 1998. "The socio-economic dynamics of speculative markets: interacting agents, chaos, and the fat tails of return distributions," Journal of Economic Behavior & Organization, Elsevier, vol. 33(2), pages 143-165, January.
    63. Noemi Schmitt & Frank Westerhoff, 2022. "Speculative housing markets and rent control: insights from nonlinear economic dynamics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 141-163, January.
    64. Zhang, Wei-Bin, 1988. "Hopf bifurcations in multisector models of optimal economic growth," Economics Letters, Elsevier, vol. 26(4), pages 329-334.
    65. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-784, August.
    66. Grossman, Gene M & Helpman, Elhanan, 1991. "Endogenous Product Cycles," Economic Journal, Royal Economic Society, vol. 101(408), pages 1214-1229, September.
    67. Ikeda, Shinsuke & Ono, Yoshiyasu, 1992. "Macroeconomic Dynamics in a Multi-country Economy: A Dynamic Optimization Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 629-644, August.
    68. Yang, Xuenan & Peng, Yu & Xiao, Yue & Wu, Xue, 2019. "Nonlinear dynamics of a duopoly Stackelberg game with marginal costs," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 185-191.
    69. Raut, L K & Srinivasan, T N, 1994. "Dynamics of Endogenous Growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 777-790, August.
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    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • E7 - Macroeconomics and Monetary Economics - - Macro-Based Behavioral Economics
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E02 - Macroeconomics and Monetary Economics - - General - - - Institutions and the Macroeconomy

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