IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v17y2001i2-3p155-78.html
   My bibliography  Save this article

Limited Computational Ability and Approximation of Dynamical Systems

Author

Listed:
  • Colucci, Domenico

Abstract

This paper addresses problems due to approximation of dynamical systems. The approach presented here is based on the notion of the shadowing property of a dynamical system and on the use of pseudotrajectories to approximate true orbits. In particular, specific results in the case of attractors and the notion of generalized shadowing are reviewed. The evidence described may be relevant for a wide range of economic models, whenever agents that have limited computational ability, such as agents relying on digital computers, are concerned. The final section presents two sample applications to economic models. Copyright 2001 by Kluwer Academic Publishers

Suggested Citation

  • Colucci, Domenico, 2001. "Limited Computational Ability and Approximation of Dynamical Systems," Computational Economics, Springer;Society for Computational Economics, vol. 17(2-3), pages 155-178, June.
    • Handle: RePEc:kap:compec:v:17:y:2001:i:2-3:p:155-78
    as

    Download full text from publisher

    File URL: http://journals.kluweronline.com/issn/0927-7099/contents
    Download Restriction: Access to the full text of the articles in this series is restricted.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    2. Calvo, Guillermo A, 1977. "The Stability of Models of Money and Perfect Foresight: A Comment," Econometrica, Econometric Society, vol. 45(7), pages 1737-1739, October.
    3. George, Donald A. R. & Oxley, Leslie T., 1985. "Structural stability and model design," Economic Modelling, Elsevier, vol. 2(4), pages 307-316, October.
    4. Marimon, Ramon & Sunder, Shyam, 1993. "Indeterminacy of Equilibria in a Hyperinflationary World: Experimental Evidence," Econometrica, Econometric Society, vol. 61(5), pages 1073-1107, September.
    5. Chiarella, Carl, 1986. "Perfect foresight models and the dynamic instability problem from a higher viewpoint," Economic Modelling, Elsevier, vol. 3(4), pages 283-292, October.
    6. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Roberto Samaniego, 2013. "Stages of Diversification and Industry Productivity Differences," 2013 Meeting Papers 774, Society for Economic Dynamics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chiarella, Carl, 1991. "The bifurcation of probability distributions in a non-linear rational expectations model of monetary economy," European Journal of Political Economy, Elsevier, vol. 7(1), pages 65-78, April.
    2. Flaschel, Peter & Sethi, Rajiv, 1999. "Stability in models of money and perfect foresight: implications of non-linearity," Economic Modelling, Elsevier, vol. 16(2), pages 221-233, April.
    3. Ricciuti, Roberto, 2008. "Bringing macroeconomics into the lab," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 216-237, March.
    4. Rao Aiyagari, S., 1988. "Nonmonetary steady states in stationary overlapping generations models with long lived agents and discounting: Multiplicity, optimality, and consumption smoothing," Journal of Economic Theory, Elsevier, vol. 45(1), pages 102-127, June.
    5. C. Chiarella & P. Khomin, 1999. "Adaptively evolving expectations in models of monetarydynamics‐ The fundamentalists forward looking," Annals of Operations Research, Springer, vol. 89(0), pages 21-34, January.
    6. Kehoe, Timothy J. & Levine, David K. & Romer, Paul M., 1990. "Determinacy of equilibria in dynamic models with finitely many consumers," Journal of Economic Theory, Elsevier, vol. 50(1), pages 1-21, February.
    7. John Duffy, 2008. "Macroeconomics: A Survey of Laboratory Research," Working Paper 334, Department of Economics, University of Pittsburgh, revised Jun 2014.
    8. Agliari, Anna & Chiarella, Carl & Gardini, Laura, 2006. "A re-evaluation of adaptive expectations in light of global nonlinear dynamic analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 60(4), pages 526-552, August.
    9. Carl Chiarella, 1991. "Monetary and Fiscal Policy Under Nonlinear Exchange Rate Dynamics," Working Paper Series 6, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    10. Carl Chiarella & Peter Flaschel, 1999. "Disequilibrium Growth Theory: Foundations, Synthesis, Perspectives," Working Paper Series 85, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    11. Funke, Michael & Strulik, Holger, 2000. "On endogenous growth with physical capital, human capital and product variety," European Economic Review, Elsevier, vol. 44(3), pages 491-515, March.
    12. van der Laan, Gerard & Withagen, Cees, 2003. "Quasi-equilibrium in economies with infinite dimensional commodity spaces: a truncation approach," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 423-444, January.
    13. Azmat Gani & Nisar Ahmad, 2020. "Has Economic Growth of China and India Impacted African Economic Prosperity?," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 48(3), pages 375-385, September.
    14. Benchimol, Jonathan & El-Shagi, Makram & Saadon, Yossi, 2022. "Do expert experience and characteristics affect inflation forecasts?," Journal of Economic Behavior & Organization, Elsevier, vol. 201(C), pages 205-226.
    15. Azariadis, Costas & Stachurski, John, 2005. "Poverty Traps," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 5, Elsevier.
    16. Jiang, Janet Hua & Puzzello, Daniela & Zhang, Cathy, 2023. "Inflation, Output, and Welfare in the Laboratory," European Economic Review, Elsevier, vol. 152(C).
    17. Kazumi Asako, 1979. "Environmental Pollution in an Open Economy," The Economic Record, The Economic Society of Australia, vol. 55(4), pages 359-367, December.
    18. Cem Ertur & Thiaw Kalidou, 2005. "Growth and Spatial Dependence - The Mankiw, Romer and Weil model revisited," ERSA conference papers ersa05p660, European Regional Science Association.
    19. Jean-Bernard Chatelain & Kirsten Ralf, 2024. "Wealth in the Quadratic Loss Function of the Ramsey Malinvaud Cass Koopmans Model of Optimal Savings," Revue d'économie politique, Dalloz, vol. 134(3), pages 371-390.
    20. Gordon Cordina, 2004. "Economic Vulnerability And Economic Growth: Some Results From A Neo-Classical Growth Modelling Approach," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 29(2), pages 21-39, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:compec:v:17:y:2001:i:2-3:p:155-78. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.