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Routes to chaos in macroeconomic theory

  • Orlando Gomes

Purpose – The purpose of this paper is to survey literature on macroeconomic nonlinear dynamics. Design/methodology/approach – The paper identifies five influential types of models where the possible generation of endogenous cycles and chaotic motion arises. First, the frameworks that make use of the one-hump logistic type equation; second, the models inspired on the growth literature of the 1940s; third, intertemporal utility maximization problems with increasing returns; fourth, models that can be represented as piecewise dynamic maps; and, fifth, bounded rationality – heterogeneous expectations setups. Findings – The attention will be mainly focused on the theme of business cycles; an interpretation of the deterministic real business cycle model with increasing returns is proposed and a graphical analysis of the underlying system shows that strange attractors are observable for specific sets of parameter values. Practical implications – The study of endogenous cycles in macroeconomic literature has important implications for policy: if fluctuations are due to deterministic reasons this may imply that by manipulating policy parameters governments may be able to change the qualitative nature of the economy's dynamics. Originality/value – The paper gives a comprehensive view of nonlinear dynamics in macroeconomics. It shows that various relevant subjects might be addressed in this kind of models, e.g. economic growth, asset pricing, business cycles, consumption decisions, among others.

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Article provided by Emerald Group Publishing in its journal Journal of Economic Studies.

Volume (Year): 33 (2006)
Issue (Month): 6 (November)
Pages: 437-468

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Handle: RePEc:eme:jespps:v:33:y:2006:i:6:p:437-468
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  1. Brock, W.A. & Hommes, C.H., 1996. "A Rational Route to Randomness," Working papers 9530r, Wisconsin Madison - Social Systems.
  2. Khan, M. Ali & Mitra, Tapan, 2005. "On topological chaos in the Robinson-Solow-Srinivasan model," Economics Letters, Elsevier, vol. 88(1), pages 127-133, July.
  3. William A. Barnett & Apostolos Serletis, 1998. "Martingales, Nonlinearity, and Chaos," Econometrics 9805003, EconWPA.
  4. John Creedy, 1996. "Income and commodity taxes in a two-good, two-period model with heterogeneous preferences," Journal of Economic Studies, Emerald Group Publishing, vol. 23(1), pages 3-17, January.
  5. Baumol, William J. & Benhabib, Jess, 1987. "Chaos: Significance, Mechanism, and Economic Applications," Working Papers 87-16, C.V. Starr Center for Applied Economics, New York University.
  6. Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Current Real-Business-Cycle Theories and Aggregate Labor-Market Fluctuations," American Economic Review, American Economic Association, vol. 82(3), pages 430-50, June.
  7. Bohm, Volker & Kaas, Leo, 2000. "Differential savings, factor shares, and endogenous growth cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 965-980, June.
  8. William A. Barnett & Alfredo Medio & Apostolos Serletis, 1997. "Nonlinear and Complex Dynamics in Economics," Econometrics 9709001, EconWPA.
  9. Goenka, Aditya & Poulsen, Odile, 2004. "Factor Intensity Reversal and Ergodic Chaos," Working Papers 04-13, University of Aarhus, Aarhus School of Business, Department of Economics.
  10. C. Chiarella & X-Z. He, 2001. "Asset price and wealth dynamics under heterogeneous expectations," Quantitative Finance, Taylor & Francis Journals, vol. 1(5), pages 509-526.
  11. Christiano, Lawrence J. & G. Harrison, Sharon, 1999. "Chaos, sunspots and automatic stabilizers," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 3-31, August.
  12. Barnett,William A. & Kirman,Alan P. & Salmon,Mark, 1997. "Nonlinear Dynamics and Economics," Cambridge Books, Cambridge University Press, number 9780521471411, September.
  13. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861, September.
  14. Jess Benhabib & Roger E.A. Farmer, 1992. "Indeterminacy and Increasing Returns," UCLA Economics Working Papers 646, UCLA Department of Economics.
  15. Chiarella, Carl & Dieci, Roberto & Gardini, Laura, 2002. "Speculative behaviour and complex asset price dynamics: a global analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 49(2), pages 173-197, October.
  16. 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.
  17. Carl Chiarella & Roberto Dieci & Laura Gardini, 2003. "A Dynamic Analysis of Speculation Across Two Markets," Research Paper Series 89, Quantitative Finance Research Centre, University of Technology, Sydney.
  18. Jang-Ting Guo & Kevin Lansing, 1999. "Fiscal policy, increasing returns, and endogenous fluctuations," Working Papers in Applied Economic Theory 99-08, Federal Reserve Bank of San Francisco.
  19. Gaunersdorfer, Andrea & Hommes, Cars H. & Wagener, Florian O.O., 2008. "Bifurcation routes to volatility clustering under evolutionary learning," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 27-47, July.
  20. Barnett, William A., 2006. "Comments on "Chaotic monetary dynamics with confidence"," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 253-255, March.
  21. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521558747, September.
  22. Mitra, Tapan, 2001. "A Sufficient Condition for Topological Chaos with an Application to a Model of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 133-152, January.
  23. Serletis, Apostolos & Shintani, Mototsugu, 2006. "Chaotic monetary dynamics with confidence," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 228-252, March.
  24. Murray Frank & Thanasis Stengos, 1989. "Measuring the Strangeness of Gold and Silver Rates of Return," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 553-567.
  25. Boldrin, Michele & Woodford, Michael, 1990. "Equilibrium models displaying endogenous fluctuations and chaos : A survey," Journal of Monetary Economics, Elsevier, vol. 25(2), pages 189-222, March.
  26. Jordi Caballé & Xavier Jarque & Elisabetta Michetti, 2004. "Chaotic Dynamics in Credit Constrained Emerging Economies," Working Papers 121, Barcelona Graduate School of Economics.
  27. Chiarella, Carl & He, Xue-Zhong, 2003. "Heterogeneous Beliefs, Risk, And Learning In A Simple Asset-Pricing Model With A Market Maker," Macroeconomic Dynamics, Cambridge University Press, vol. 7(04), pages 503-536, September.
  28. Daniel Kahneman, 2003. "Maps of Bounded Rationality: Psychology for Behavioral Economics," American Economic Review, American Economic Association, vol. 93(5), pages 1449-1475, December.
  29. Brock, W.A. & Hommes, C.H., 1996. "Hetergeneous Beliefs and Routes to Chaos in a Simple Asset Pricing Model," Working papers 9621, Wisconsin Madison - Social Systems.
  30. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
  31. DeCoster, Gregory P & Mitchell, Douglas W, 1991. "Nonlinear Monetary Dynamics," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(4), pages 455-61, October.
  32. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  33. Nishimura, Kazuo & Yano, Makoto, 1995. "Nonlinear Dynamics and Chaos in Optimal Growth: An Example," Econometrica, Econometric Society, vol. 63(4), pages 981-1001, July.
  34. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
  35. Gaunersdorfer, Andrea, 2000. "Endogenous fluctuations in a simple asset pricing model with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 799-831, June.
  36. William Barnett & Apostolos Serletis & Demitre Serletis, 2005. "Nonlinear and Complex Dynamics in Real Systems," GE, Growth, Math methods 0509002, EconWPA.
  37. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
  38. De Grauwe, Paul & Grimaldi, Marianna, 2005. "Heterogeneity of agents, transactions costs and the exchange rate," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 691-719, April.
  39. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
  40. Deneckere, Raymond & Pelikan, Steve, 1986. "Competitive chaos," Journal of Economic Theory, Elsevier, vol. 40(1), pages 13-25, October.
  41. Giorgio Rodano & Gian Italo Bischi & Enrico Saltari & Roberto Dieci, 2001. "Multiple attractors and global bifurcations in a Kaldor-type business cycle model," Journal of Evolutionary Economics, Springer, vol. 11(5), pages 527-554.
  42. Boldrin, Michele & Nishimura, Kazuo & Shigoka, Tadashi & Yano, Makoto, 2001. "Chaotic Equilibrium Dynamics in Endogenous Growth Models," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 97-132, January.
  43. Bullard, James & Butler, Alison, 1993. "Nonlinearity and Chaos in Economic Models: Implications for Policy Decisions," Economic Journal, Royal Economic Society, vol. 103(419), pages 849-67, July.
  44. Nishimura, Kazuo & Sorger, Gerhard & Yano, Makoto, 1994. "Ergodic Chaos in Optimal Growth Models with Low Discount Rates," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 705-17, August.
  45. Orlando Gomes, 2004. "A Continuous-Time Asset Pricing Model with Boundedly Rational Heterogeneous Agents," Finance 0409055, EconWPA.
  46. Jess Benhabib & Richard H. Day, 1981. "Rational Choice and Erratic Behaviour," Review of Economic Studies, Oxford University Press, vol. 48(3), pages 459-471.
  47. Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
  48. Carl Chiarella, 1992. "Developments in Nonlinear Economic Dynamics: Past, Present and Future," Working Paper Series 14, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  49. Hommes, Cars & Sonnemans, Joep & Tuinstra, Jan & van de Velden, Henk, 2005. "A strategy experiment in dynamic asset pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 823-843, April.
  50. Michela Vecchi, 1999. "Real business cycle: a critical review," Journal of Economic Studies, Emerald Group Publishing, vol. 26(2), pages 159-172, January.
  51. H.M. Leung, 2003. "External debt and worsening business cycles in less developed countries," Journal of Economic Studies, Emerald Group Publishing, vol. 30(2), pages 155-168, May.
  52. Jörg Fischer, 2003. "Increasing returns and economic progress revisited," Journal of Economic Studies, Emerald Group Publishing, vol. 30(1), pages 28-45, January.
  53. Scheinkman, Jose A & LeBaron, Blake, 1989. "Nonlinear Dynamics and Stock Returns," The Journal of Business, University of Chicago Press, vol. 62(3), pages 311-37, July.
  54. Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-14, June.
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