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A macroeconomic mathematical model for the national income of a union of countries with interaction and trade

Author

Listed:
  • Ioannis K. Dassios

    (University of Limerick)

  • Mel T. Devine

    (University of Limerick
    Economic and Social Research Institute (ESRI)
    Trinity College Dublin)

Abstract

In this article, we assume a union of countries where each national economy interacts with the others. We propose a new model where (a) delayed variables are incorporated into the system of equations and (b) the interaction element is restricted into the annual governmental expenditure that is determined according to the experience of the total system and the trade relations of these countries (exports–imports). In addition, we consider the equilibrium(s) of the model (a discrete-time system) and study properties for stability, the appropriate control actions as well as the total system design in order to obtain a stable situation. Finally, a practical application is also investigated that provides further insight and better understanding as regards the system design and produced business cycles.

Suggested Citation

  • Ioannis K. Dassios & Mel T. Devine, 2016. "A macroeconomic mathematical model for the national income of a union of countries with interaction and trade," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 5(1), pages 1-15, December.
    • Handle: RePEc:spr:jecstr:v:5:y:2016:i:1:d:10.1186_s40008-016-0049-4
    DOI: 10.1186/s40008-016-0049-4
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    References listed on IDEAS

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    1. Dalla, Eleni & Varelas, Erotokritos, 2016. "Second-order accelerator of investment: The case of discrete time," International Review of Economics Education, Elsevier, vol. 21(C), pages 48-60.
    2. Christos Karpetis & Erotokritos Varelas, 2012. "Fiscal and Monetary Policy Interaction in a Simple Accelerator Model," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 18(2), pages 199-214, May.
    3. Chari, V V & Christiano, Lawrence J & Kehoe, Patrick J, 1994. "Optimal Fiscal Policy in a Business Cycle Model," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 617-652, August.
    4. Frank Westerhoff, 2006. "Samuelson's multiplier-accelerator model revisited," Applied Economics Letters, Taylor & Francis Journals, vol. 13(2), pages 89-92.
    5. Matsumoto, Akio & Szidarovszky, Ferenc, 2015. "Nonlinear multiplier–accelerator model with investment and consumption delays," Structural Change and Economic Dynamics, Elsevier, vol. 33(C), pages 1-9.
    6. Ioannis Dassios & Alexandros Zimbidis & Charalambos Kontzalis, 2014. "The Delay Effect in a Stochastic Multiplier–Accelerator Model," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 3(1), pages 1-24, December.
    7. Chow, Gregory C, 1985. "A Model of Chinese National Income Determination," Journal of Political Economy, University of Chicago Press, vol. 93(4), pages 782-792, August.
    8. Ilias Kostarakos & Stelios Kotsios, 2017. "Feedback policy rules for government spending: an algorithmic approach," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 6(1), pages 1-10, December.
    9. Ilias Kostarakos & Stelios Kotsios, 2018. "Fiscal Policy Design in Greece in the Aftermath of the Crisis: An Algorithmic Approach," Computational Economics, Springer;Society for Computational Economics, vol. 51(4), pages 893-911, April.
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    Cited by:

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    2. Fabio Tramontana & Laura Gardini, 2021. "Revisiting Samuelson’s models, linear and nonlinear, stability conditions and oscillating dynamics," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 10(1), pages 1-15, December.
    3. Deshen Wang, 2017. "Adjustable Robust Singular Value Decomposition: Design, Analysis and Application to Finance," Data, MDPI, vol. 2(3), pages 1-15, August.
    4. Maria Filomena Barros & Fernando Ortega, 2019. "An optimal equilibrium for a reformulated Samuelson economic discrete time system," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 8(1), pages 1-10, December.
    5. Ilias Kostarakos & Stelios Kotsios, 2017. "Feedback policy rules for government spending: an algorithmic approach," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 6(1), pages 1-10, December.

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