IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2607.19422.html

Aggregate models of liquidity-profit dynamics

Author

Listed:
  • Michal Demetrian
  • Rudolf Zimka

Abstract

We discuss the problem of limit cycles in an aggregate-type models of liquidity growth proposed and studied both theoretically and numerically by W. Semmler and M. Sieveking in \cite{SemmlerSieveking}. Their model is locally of predator-prey type with cannibalism in predator (profit) and logistic bound on prey's population (liquidity). We modify the model to include the weak Allee effect in liquidity and to study the local bifurcations of equilibria and limit cycles by means of the Hopf-Andronov theory. The main motivation for this study follows the economic theory of the so-called corridors of stability introduced by Leijonhuvud in \cite{Leijonh}. Similar importance of these effects is, however, found also in the originally developed dynamical models in biology, especially in mathematical ecology.

Suggested Citation

  • Michal Demetrian & Rudolf Zimka, 2026. "Aggregate models of liquidity-profit dynamics," Papers 2607.19422, arXiv.org.
    • Handle: RePEc:arx:papers:2607.19422
    as

    Download full text from publisher

    File URL: https://arxiv.org/pdf/2607.19422
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Foley, Duncan K., 1987. "Liquidity-profit rate cycles in a capitalist economy," Journal of Economic Behavior & Organization, Elsevier, vol. 8(3), pages 363-376, September.
    Full references (including those not matched with items on IDEAS)

    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. Gang Gong, 2005. "Modeling Stabilization Policies In A Financially Unstable Economy," Metroeconomica, Wiley Blackwell, vol. 56(3), pages 281-304, July.
    2. Xiao Jiang, 2015. "Endogenous Cycles and Chaos in a Capitalist Economy: A Circuit of Capital Model," Metroeconomica, Wiley Blackwell, vol. 66(1), pages 123-157, February.
    3. Robert Calvert Jump & Engelbert Stockhammer, 2023. "Building blocks of a heterodox business cycle theory," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 46(2), pages 334-358, April.
    4. Jonathan F. Cogliano & Roberto Veneziani & Naoki Yoshihara, 2022. "Computational methods and classical‐Marxian economics," Journal of Economic Surveys, Wiley Blackwell, vol. 36(2), pages 310-349, April.
    5. Antonio Meirelles & Gilberto Lima, 2006. "Debt, financial fragility, and economic growth: a Post Keynesian macromodel," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 29(1), pages 93-115.
    6. Bhadury, Soumya & Pratap, Bhanu & Gajbhiye, Dhirendra, 2025. "Transition to a greener economy: Climate change risks and resilience in a state-space framework," Journal of Asian Economics, Elsevier, vol. 98(C).
    7. Gilberto Tadeu Lima & Antonio J. A. Meirelles, 2007. "Macrodynamics of debt regimes, financial instability and growth," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 31(4), pages 563-580, July.
    8. Soon Ryoo, 2016. "Household debt and housing bubbles: a Minskian approach to boom-bust cycles," Journal of Evolutionary Economics, Springer, vol. 26(5), pages 971-1006, December.
    9. Sébastien Charles, 2008. "Teaching Minsky's financial instability hypothesis: a manageable suggestion," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 31(1), pages 125-138, September.
    10. Ryoo, Soon, 2010. "Long waves and short cycles in a model of endogenous financial fragility," Journal of Economic Behavior & Organization, Elsevier, vol. 74(3), pages 163-186, June.
    11. Stockhammer, Engelbert & Calvert Jump, Robert & Kohler, Karsten & Cavallero, Julian, 2019. "Short and medium term financial-real cycles: An empirical assessment," Journal of International Money and Finance, Elsevier, vol. 94(C), pages 81-96.
    12. Datta, Soumya, 2012. "Cycles and Crises in a Model of Debt-financed Investment-led Growth," MPRA Paper 50200, University Library of Munich, Germany, revised 12 Dec 2012.
    13. Toichiro Asada, 1991. "On a mixed competitive-monopolistic macrodynamic model in a monetary economy," Journal of Economics, Springer, vol. 54(1), pages 33-53, February.
    14. Michalis Nikiforos, 2017. "Uncertainty and Contradiction: An Essay on the Business Cycle," Review of Radical Political Economics, Union for Radical Political Economics, vol. 49(2), pages 247-264, June.
    15. Toichiro Asada, 2012. "Modeling financial instability," European Journal of Economics and Economic Policies: Intervention, Edward Elgar Publishing, vol. 9(2), pages 215-232.
    16. Roberto Veneziani & Luca Zamparelli & Maria Nikolaidi & Engelbert Stockhammer, 2017. "Minsky Models: A Structured Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 31(5), pages 1304-1331, December.
    17. Datta, Bikramaditya & Sethi, Rajiv, 2023. "The dynamics of leverage and the belief distribution of wealth," Journal of Economic Behavior & Organization, Elsevier, vol. 212(C), pages 20-31.
    18. Stephen Thompson, 2018. "Employment and fiscal policy in a Marxian model," Metroeconomica, Wiley Blackwell, vol. 69(4), pages 820-846, November.
    19. Eugenio Caverzasi & Alberto Russo, 2018. "Toward a new microfounded macroeconomics in the wake of the crisis," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 27(6), pages 999-1014.
    20. Juan Laborda & Vicente Salas & Cristina Suárez, 2021. "Financial constraints on R&D projects and minsky moments: containing the credit cycle," Journal of Evolutionary Economics, Springer, vol. 31(4), pages 1089-1111, September.

    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:arx:papers:2607.19422. 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: arXiv administrators (email available below). General contact details of provider: https://arxiv.org/ .

    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.