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Non-linear dynamical systems: Instability and chaos in economics

In: Handbook of Mathematical Economics

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  • Brock, William A.
  • Dechert, W. Davis

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Suggested Citation

  • Brock, William A. & Dechert, W. Davis, 1991. "Non-linear dynamical systems: Instability and chaos in economics," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 40, pages 2209-2235, Elsevier.
    • Handle: RePEc:eee:matchp:4-40
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    Cited by:

    1. Haruyama, Tetsugen, 2009. "R&D policy in a volatile economy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(10), pages 1761-1778, October.
    2. Hommes, Cars H. & Rosser,, J. Barkley, 2001. "Consistent Expectations Equilibria And Complex Dynamics In Renewable Resource Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 5(02), pages 180-203, April.
    3. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
    4. Olson, Lars J., 1995. "Dynamic Economic Models with Uncertainty and Irreversibility: Methods and Applications," Working Papers 197822, University of Maryland, Department of Agricultural and Resource Economics.
    5. Montrucchio, Luigi & Sorger, Gerhard, 1996. "Topological entropy of policy functions in concave dynamic optimization models," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 181-194.
    6. Luis A. Aguirre & Antonio Aguirre, 1997. "A tutorial introduction to nonlinear dynamics in economics," Nova Economia, Economics Department, Universidade Federal de Minas Gerais (Brazil), vol. 7(2), pages 9-47.
    7. Bossaerts, Peter & Bowman, Elizabeth & Fattinger, Felix & Huang, Harvey & Lee, Michelle & Murawski, Carsten & Suthakar, Anirudh & Tang, Shireen & Yadav, Nitin, 2024. "Resource allocation, computational complexity, and market design," Journal of Behavioral and Experimental Finance, Elsevier, vol. 42(C).
    8. Espinosa Méndez, Christian, 2005. "Evidencia De Comportamiento Caótico En Indices Bursátiles Americanos [Evidence Of Chaotic Behavior In American Stock Markets]," MPRA Paper 2794, University Library of Munich, Germany, revised 30 Jun 2006.
    9. Nijkamp, Peter & Reggiani, Aura, 1995. "Non-linear evolution of dynamic spatial systems. The relevance of chaos and ecologically-based models," Regional Science and Urban Economics, Elsevier, vol. 25(2), pages 183-210, April.
    10. Sorger, Gerhard, 1998. "Imperfect foresight and chaos: an example of a self-fulfilling mistake," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 363-383, January.

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    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General

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