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Economics as a compartmental system: a simple macroeconomic example

Author

Listed:
  • Fabio Tramontana

    (Department of Economics, University of Ancona, Italy.)

  • Mauro Gallegati

    (Department of Economics, University of Ancona, Italy.)

Abstract

The application in Economics of methods and tools originally thought for other disciplines is not new. In this paper we show how the compartmental approach, typical of Biology, Medicine, Chemistry, etc., can be used as a tool to represent the heterogeneity of the agents and introduce it into the dynamic models. We also show that in some cases the subdivision of the agents into compartments can be useful for the government in order to obtain some results more efficiently.

Suggested Citation

  • Fabio Tramontana & Mauro Gallegati, 2010. "Economics as a compartmental system: a simple macroeconomic example," Working Papers 1011, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2010.
    • Handle: RePEc:urb:wpaper:10_11
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    References listed on IDEAS

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    1. Gary S. Becker, 1974. "Crime and Punishment: An Economic Approach," NBER Chapters, in: Essays in the Economics of Crime and Punishment, pages 1-54, National Bureau of Economic Research, Inc.
    2. Tesfatsion, Leigh & Judd, Kenneth L., 2006. "Handbook of Computational Economics, Vol. 2: Agent-Based Computational Economics," Staff General Research Papers Archive 10368, Iowa State University, Department of Economics.
    3. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    4. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186, Elsevier.
    5. Bruce C. Greenwald & Joseph E. Stiglitz, 1993. "Financial Market Imperfections and Business Cycles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 77-114.
    6. Alan Kirman, 1993. "Ants, Rationality, and Recruitment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 137-156.
    7. Becker, Gary S, 1974. "A Theory of Marriage: Part II," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages 11-26, Part II, .
    8. Leigh Tesfatsion & Kenneth L. Judd (ed.), 2006. "Handbook of Computational Economics," Handbook of Computational Economics, Elsevier, edition 1, volume 2, number 2.
    9. Gary S. Becker, 1974. "A Theory of Marriage," NBER Chapters, in: Economics of the Family: Marriage, Children, and Human Capital, pages 299-351, National Bureau of Economic Research, Inc.
    10. Aoki,Masanao, 2004. "Modeling Aggregate Behavior and Fluctuations in Economics," Cambridge Books, Cambridge University Press, number 9780521606196, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. The economics of compartments
      by Economic Logician in Economic Logic on 2010-08-17 19:16:00

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    Cited by:

    1. M. L. Bertotti & G. Modanese, 2016. "Mathematical models describing the effects of different tax evasion behaviors," Papers 1701.02662, arXiv.org.
    2. Artzrouni, Marc & Tramontana, Fabio, 2013. "The debt trap: a two-compartment train wreck," MPRA Paper 47578, University Library of Munich, Germany.
    3. Øverby, Harald & Audestad, Jan A. & Szalkowski, Gabriel Andy, 2023. "Compartmental market models in the digital economy—extension of the Bass model to complex economic systems," Telecommunications Policy, Elsevier, vol. 47(1).
    4. Silva, César M. & Rosa, Silvério & Alves, Helena & Carvalho, Pedro G., 2016. "A mathematical model for the customer dynamics based on marketing policy," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 42-53.
    5. Artzrouni, Marc & Tramontana, Fabio, 2014. "The debt trap: A two-compartment train wreck… and how to avoid it," Journal of Policy Modeling, Elsevier, vol. 36(2), pages 241-256.
    6. M. L. Bertotti & G. Modanese, 2018. "Mathematical models describing the effects of different tax evasion behaviors," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(2), pages 351-363, July.
    7. Aleksejus Kononovicius & Valentas Daniunas, 2013. "Agent-based and macroscopic modeling of the complex socio-economic systems," Papers 1303.3693, arXiv.org, revised Apr 2013.

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    More about this item

    Keywords

    Compartmental systems; Heterogeneous agents; Fiscal policy.;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • E0 - Macroeconomics and Monetary Economics - - General
    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory

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