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On the stability of a certain Keynes-Metzler-Goodwin monetary growth model

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  • Sołtysiak Damian

    (1 Department of Applied Mathematics, Poznań University of Economics and Business, al. Niepodległości 10, 61-875, Poznań, Poland)

Abstract

The article has three aims. The first aim is to develop an improved version of the Keynes-Metzler-Goodwin (the KMG) monetary growth model originally presented and analysed in a series of publications by Carl Chiarella, Peter Flaschel and Willi Semler. The improvement of the model is obtained by modifying some of its equations in a way which ensures that they reflect real macroeconomic dependencies more properly. The equations that have been modified describe final demand expectations, determinants of production decisions, fixed capital accumulation, tax revenues, government budget deficit and money demand. The second aim is to transform the model into an intensive form described by seven non-linear differential equations and determine its unique steady state which shows proportions between variables on the balanced growth path. The third ultimate aim is to present a mathematical proof that the new improved version of the KMG model is locally asymptotically stable.

Suggested Citation

  • Sołtysiak Damian, 2023. "On the stability of a certain Keynes-Metzler-Goodwin monetary growth model," Economics and Business Review, Sciendo, vol. 9(1), pages 26-64, April.
    • Handle: RePEc:vrs:ecobur:v:9:y:2023:i:1:p:26-64:n:1
    DOI: 10.18559/ebr.2023.1.2
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    References listed on IDEAS

    as
    1. Charpe,Matthieu & Chiarella,Carl & Flaschel,Peter & Semmler,Willi, 2015. "Financial Assets, Debt and Liquidity Crises," Cambridge Books, Cambridge University Press, number 9781107546660, January.
    2. Amitava Dutt, 2012. "Distributional dynamics in Post Keynesian growth models," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 34(3), pages 431-452.
    3. Chiarella,Carl & Flaschel,Peter, 2011. "The Dynamics of Keynesian Monetary Growth," Cambridge Books, Cambridge University Press, number 9780521180184.
    4. Kiedrowski, Roman, 2018. "Profit rates equalization and balanced growth in a multi-sector model of classical competition," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 39-53.
    5. repec:czx:journl:v:10:y:2003:i:19:id:124 is not listed on IDEAS
    6. Ogawa, Shogo, 2022. "Monetary growth with disequilibrium: A non-Walrasian baseline model," Structural Change and Economic Dynamics, Elsevier, vol. 62(C), pages 512-528.
    7. repec:hal:wpspec:info:hdl:2441/f4rshpf3v1umfa09l8sci08kj is not listed on IDEAS
    8. Mauro Napoletano & Giovanni Dosi & Giorgio Fagiolo & Andrea Roventini, 2012. "Wage Formation, Investment Behavior and Growth Regimes: An Agent-Based Analysis," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(5), pages 235-261.
    9. Marc Lavoie, 2014. "Post-Keynesian Economics: New Foundations," Post-Print hal-01343652, HAL.
    10. repec:hal:spmain:info:hdl:2441/f4rshpf3v1umfa09l8sci08kj is not listed on IDEAS
    11. Toichiro Asada & Michal Demetrian & Rudolf Zimka, 2019. "On dynamics in a Keynesian model of monetary and fiscal stabilization policy mix with twin debt accumulation," Metroeconomica, Wiley Blackwell, vol. 70(3), pages 365-383, July.
    12. Toichiro Asada & Carl Chiarella & Peter Flaschel & Tarik Mouakil & Christian Proaño & Willi Semmler, 2011. "Stock‐Flow Interactions, Disequilibrium Macroeconomics And The Role Of Economic Policy," Journal of Economic Surveys, Wiley Blackwell, vol. 25(3), pages 569-599, July.
    13. Carl Chiarella & Peter Flaschel & Reiner Franke & Willi Semmler, 2002. "Stability Analysis of a High-Dimensional Macrodynamic Model of Real-Financial Interaction: A Cascade of Matrices Approach," Working Paper Series 123, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    14. Chiarella,Carl & Flaschel,Peter & Franke,Reiner, 2011. "Foundations for a Disequilibrium Theory of the Business Cycle," Cambridge Books, Cambridge University Press, number 9780521369923.
    15. Hiroki Murakami, 2016. "Alternative monetary policies and economic stability in a medium-term Keynesian model," Evolutionary and Institutional Economics Review, Springer, vol. 13(2), pages 323-362, December.
    16. Toichiro Asada, 2012. "Modeling financial instability," European Journal of Economics and Economic Policies: Intervention, Edward Elgar Publishing, vol. 9(2), pages 215-232.
    17. Murakami, Hiroki, 2020. "Monetary policy in the unique growth cycle of post Keynesian systems," Structural Change and Economic Dynamics, Elsevier, vol. 52(C), pages 39-49.
    18. Murakami, Hiroki, 2018. "Existence and uniqueness of growth cycles in post Keynesian systems," Economic Modelling, Elsevier, vol. 75(C), pages 293-304.
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    More about this item

    Keywords

    Keynesian macroeconomics; disequilibrium macroeconomics; monetary growth models; nonlinear economic; dynamics stability;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

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