IDEAS home Printed from https://ideas.repec.org/p/cdf/wpaper/2016-6.html
   My bibliography  Save this paper

From Sunspots to Black Holes: Singular dynamics in macroeconomic models

Author

Listed:

Abstract

We present conditions for the emergence of singularities in DGE models. We distinguish between slow-fast and impasse singularity types, review geometrical methods to deal with both types of singularity and apply them to DGE dynamics. We find that impasse singularities can generate new types of DGE dynamics, in particular temporary determinacy/indeterminacy. We illustrate the different nature of the two types of singularities and apply our results to two simple models: the Benhabib and Farmer (1994) model and one with a cyclical fiscal policy rule.

Suggested Citation

  • Brito, Paulo & Costa, Luís F. & Dixon, Huw David, 2016. "From Sunspots to Black Holes: Singular dynamics in macroeconomic models," Cardiff Economics Working Papers E2016/6, Cardiff University, Cardiff Business School, Economics Section.
  • Handle: RePEc:cdf:wpaper:2016/6
    as

    Download full text from publisher

    File URL: http://carbsecon.com/wp/E2016_6.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    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. Anton Bondarev, 2021. "Games Without Winners: Catching-up with Asymmetric Spillovers," Dynamic Games and Applications, Springer, vol. 11(4), pages 670-703, December.
    2. Abad, Nicolas & Lloyd-Braga, Teresa & Modesto, Leonor, 2020. "The failure of stabilization policy: Balanced-budget fiscal rules in the presence of incompressible public expenditures," Journal of Economic Dynamics and Control, Elsevier, vol. 120(C).
    3. Paulo Brito, 2017. "Government Debt, Fiscal Rules and Singular Growth Dynamics," Dynamic Modeling and Econometrics in Economics and Finance, in: Bettina Bökemeier & Alfred Greiner (ed.), Inequality and Finance in Macrodynamics, pages 43-74, Springer.

    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. Tarek Coury & Yi Wen, 2009. "Global indeterminacy in locally determinate real business cycle models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 49-60, March.
    2. Carine Nourry & Alain Venditti, 2011. "Endogenous Business Cycles in OLG Economies with Multiple Consumption Goods," Working Papers halshs-01059578, HAL.
    3. Grandmont, Jean-Michel, 2008. "Nonlinear difference equations, bifurcations and chaos: An introduction," Research in Economics, Elsevier, vol. 62(3), pages 122-177, September.
    4. Bloise, Gaetano, 2001. "A Geometric Approach to Sunspot Equilibria," Journal of Economic Theory, Elsevier, vol. 101(2), pages 519-539, December.
    5. C. Nourry & A. Venditti, 2006. "Overlapping Generations Model with Endogenous Labor Supply: General Formulation," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 355-377, February.
    6. Dufourt, Frédéric & Venditti, Alain & Vivès, Rémi, 2018. "On sunspot fluctuations in variable capacity utilization models," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 80-94.
    7. Gardini, Laura & Hommes, Cars & Tramontana, Fabio & de Vilder, Robin, 2009. "Forward and backward dynamics in implicitly defined overlapping generations models," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 110-129, August.
    8. Dufourt, Frédéric & Nishimura, Kazuo & Venditti, Alain, 2015. "Indeterminacy and sunspots in two-sector RBC models with generalized no-income-effect preferences," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1056-1080.
    9. Nourry, Carine, 2001. "Stability of equilibria in the overlapping generations model with endogenous labor supply," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1647-1663, October.
    10. Antoine Le Riche, 2016. "Macroeconomic Volatility and Trade in OLG Economies," Working Papers halshs-01079773, HAL.
    11. Cazzavillan, Guido, 2001. "Indeterminacy and Endogenous Fluctuations with Arbitrarily Small Externalities," Journal of Economic Theory, Elsevier, vol. 101(1), pages 133-157, November.
    12. Antoine Le Riche, 2014. "Macroeconomic Volatility and Trade in OLG Economies," AMSE Working Papers 1446, Aix-Marseille School of Economics, France, revised Nov 2014.
    13. O. Kozlovski & P. Pintus & S. van Strien & R. de Vilder, 2006. "Business–Cycle Models and the Dangers of Linearizing," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 333-353, February.
    14. Nourry, Carine & Venditti, Alain, 2012. "Endogenous Business Cycles In Overlapping-Generations Economies With Multiple Consumption Goods," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 86-102, April.
    15. Tarek Coury & Yi Wen, 2007. "Global indeterminacy in locally determinate RBC models," Working Papers 2007-029, Federal Reserve Bank of St. Louis.
    16. Grandmont, Jean-Michel, 1998. "Introduction to Market Psychology and Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 1-13, May.
    17. Adler, Gustavo & Lizarazo, Sandra, 2015. "Intertwined sovereign and bank solvencies in a simple model of self-fulfilling crisis," International Review of Economics & Finance, Elsevier, vol. 39(C), pages 428-448.
    18. Guo, Jang-Ting & Lansing, Kevin J., 1998. "Indeterminacy and Stabilization Policy," Journal of Economic Theory, Elsevier, vol. 82(2), pages 481-490, October.
    19. Winkler, Bernhard, 2000. "Which kind of transparency? On the need for clarity in monetary policy-making," Working Paper Series 0026, European Central Bank.
    20. d'Aspremont, Claude & Dos Santos Ferreira, Rodolphe & Gerard-Varet, Louis-Andre, 1997. "General Equilibrium Concepts under Imperfect Competition: A Cournotian Approach," Journal of Economic Theory, Elsevier, vol. 73(1), pages 199-230, March.

    More about this item

    Keywords

    slow-fast singularities; impasse singularities; macroeconomic dynamics; temporary indeterminacy;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:cdf:wpaper:2016/6. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/ecscfuk.html .

    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: Yongdeng Xu (email available below). General contact details of provider: https://edirc.repec.org/data/ecscfuk.html .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.