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Business cycles, bifurcations and chaos in a neo-classical model with investment dynamics

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  • Hallegatte, Stéphane
  • Ghil, Michael
  • Dumas, Patrice
  • Hourcade, Jean-Charles

Abstract

This paper presents a non-equilibrium dynamic model (NEDyM) that introduces investment dynamics and non-equilibrium effects into a Solow growth model. NEDyM can reproduce several typical economic regimes and, for certain ranges of parameter values, exhibits endogenous business cycles with realistic characteristics. The cycles arise from the investment-profit instability and are constrained by the increase in labor costs and the inertia of production capacity. For other parameter ranges, the model exhibits chaotic behavior. These results show that complex variability in the economic system may be due to deterministic, intrinsic factors, even if the long-term equilibrium is neo-classical in nature.

Suggested Citation

  • Hallegatte, Stéphane & Ghil, Michael & Dumas, Patrice & Hourcade, Jean-Charles, 2008. "Business cycles, bifurcations and chaos in a neo-classical model with investment dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 57-77, July.
    • Handle: RePEc:eee:jeborg:v:67:y:2008:i:1:p:57-77
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    1. Malinvaud, Edmond, 1982. "Wages and Unemployment," Economic Journal, Royal Economic Society, vol. 92(365), pages 1-12, March.
    2. Invernizzi, Sergio & Medio, Alfredo, 1991. "On lags and chaos in economic dynamic models," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 521-550.
    3. Chiarella,Carl & Flaschel,Peter, 2011. "The Dynamics of Keynesian Monetary Growth," Cambridge Books, Cambridge University Press, number 9780521180184, September.
    4. Baumol, William J & Benhabib, Jess, 1989. "Chaos: Significance, Mechanism, and Economic Applications," Journal of Economic Perspectives, American Economic Association, vol. 3(1), pages 77-105, Winter.
    5. Day, Richard H. & Shafer, Wayne, 1985. "Keynesian chaos," Journal of Macroeconomics, Elsevier, vol. 7(2), pages 277-295.
    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. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    8. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    9. Stéphane Hallegatte, 2005. "Accounting for Extreme Events in the Economic Assessment of Climate Change," Working Papers 2005.1, Fondazione Eni Enrico Mattei.
    10. Jensen, Michael C, 1986. "Agency Costs of Free Cash Flow, Corporate Finance, and Takeovers," American Economic Review, American Economic Association, vol. 76(2), pages 323-329, May.
    11. Wen, Yi, 2002. "The business cycle effects of Christmas," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1289-1314, September.
    12. Solow, Robert M, 1988. "Growth Theory and After," American Economic Review, American Economic Association, vol. 78(3), pages 307-317, June.
    13. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    14. King, Robert G & Watson, Mark W, 1996. "Money, Prices, Interest Rates and the Business Cycle," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 35-53, February.
    15. A. W. Phillips, 1958. "The Relation Between Unemployment and the Rate of Change of Money Wage Rates in the United Kingdom, 1861–1957," Economica, London School of Economics and Political Science, vol. 25(100), pages 283-299, November.
    16. repec:bla:econom:v:64:y:1997:i:255:p:441-60 is not listed on IDEAS
    17. Hallegatte, Stephane & Hourcade, Jean-Charles & Dumas, Patrice, 2007. "Why economic dynamics matter in assessing climate change damages: Illustration on extreme events," Ecological Economics, Elsevier, vol. 62(2), pages 330-340, April.
    18. M. Ha-Duong & M. J. Grubb & J.-C. Hourcade, 1997. "Influence of socioeconomic inertia and uncertainty on optimal CO2-emission abatement," Nature, Nature, vol. 390(6657), pages 270-273, November.
    19. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
    20. Paul A. Samuelson, 1939. "A Synthesis of the Principle of Acceleration and the Multiplier," Journal of Political Economy, University of Chicago Press, vol. 47(6), pages 786-786.
    21. J. Barkley Rosser, 1999. "On the Complexities of Complex Economic Dynamics," Journal of Economic Perspectives, American Economic Association, vol. 13(4), pages 169-192, Fall.
    22. Day, Richard H. & Shafer, Wayne, 1985. "Keynesian Chaos," Journal of Macroeconomics, Elsevier, vol. 7(3), pages 277-295.
    23. Toichiro Asada & Pu Chen & Carl Chiarella & Peter Flaschel, 2004. "Keynesian Dynamics and the Wage Price Spiral. A Baseline Disequilibrium Approach," Macroeconomics 0409001, University Library of Munich, Germany.
    24. Lucas, Robert E, Jr, 1975. "An Equilibrium Model of the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 83(6), pages 1113-1144, December.
    25. Yun, Tack, 1996. "Nominal price rigidity, money supply endogeneity, and business cycles," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 345-370, April.
    26. Skott, Peter, 1989. "Effective Demand, Class Struggle and Cyclical Growth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(1), pages 231-247, February.
    27. Chiarella, Carl, 1988. "The cobweb model: Its instability and the onset of chaos," Economic Modelling, Elsevier, vol. 5(4), pages 377-384, October.
    28. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    29. Michal Kalecki, 1937. "A Theory of the Business Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(2), pages 77-97.
    30. William A. Barnett & Yijun He, 2002. "Bifurcations in Macroeconomic Models," Macroeconomics 0210006, University Library of Munich, Germany.
    31. Carl Chiarella & Peter Flaschel & Gang Gong & Willi Semmler, 2002. "Nonlinear Phillips Curves, Complex Dynamics and Monetary Policy in a Keynesian Macro Model," Working Paper Series 120, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    32. Asada, Toichiro & Chen, Pu & Chiarella, Carl & Flaschel, Peter, 2006. "Keynesian dynamics and the wage-price spiral: A baseline disequilibrium model," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 90-130, March.
    33. Jarsulic, Marc, 1993. "A nonlinear model of the pure growth cycle," Journal of Economic Behavior & Organization, Elsevier, vol. 22(2), pages 133-151, October.
    34. Chiarella,Carl & Flaschel,Peter & Franke,Reiner, 2011. "Foundations for a Disequilibrium Theory of the Business Cycle," Cambridge Books, Cambridge University Press, number 9780521369923, September.
    35. C. Chiarella & P. Chen, 2004. "Keynesian Dynamics and the Wage-Price Spiral:Estimating a Baseline Disequilibrium Approach," Computing in Economics and Finance 2004 149, Society for Computational Economics.
    36. Kendrick, David A., 2005. "Stochastic control for economic models: past, present and the paths ahead," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 3-30, January.
    37. Hukukane Nikaido, 1996. "Prices, Cycles, and Growth," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262140594, April.
    38. Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-414, June.
    39. Jordi Galí, 2000. "The return of the Phillips curve and other recent developments in business cycle theory," Spanish Economic Review, Springer;Spanish Economic Association, vol. 2(1), pages 1-10.
    40. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 321-321.
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