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Computer simulations, mathematics and economics

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  • Magda Fontana

Abstract

Economists lise different kinds of computer simulation. However, there is little attention on the theory of simulation, which is considered either a technology or an extension of mathematical theory or, else, a way of modelling that is alternative to verbal description and mathematical models. The paper suggests a systematisation of the relationship between simulations, mathematics and economics. In particular, it traces the evolution of simulation techniques, comments some of the contributions that deal with their nature, and, finally, illustrates with some examples their influence on economie theory. Keywords: Computer simulation, economie methodology, multi-agent programming techniques.
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Suggested Citation

  • Magda Fontana, 2006. "Computer simulations, mathematics and economics," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 53(1), pages 96-123, March.
    • Handle: RePEc:spr:inrvec:v:53:y:2006:i:1:p:96-123
    DOI: 10.1007/BF03029851
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    1. D. Colander, 2009. "The Complexity Revolution and the Future of Economics," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 1.
    2. Orcutt, Guy H., 1990. "From engineering to microsimulation : An autobiographical reflection," Journal of Economic Behavior & Organization, Elsevier, vol. 14(1), pages 5-27, September.
    3. Deirdre McCloskey, 2005. "The Trouble with Mathematics and Statistics in Economics," History of Economic Ideas, Fabrizio Serra Editore, Pisa - Roma, vol. 13(3), pages 85-102.
    4. Mirowski,Philip, 2002. "Machine Dreams," Cambridge Books, Cambridge University Press, number 9780521772839.
    5. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58, pages 211-211.
    6. Mirowski,Philip, 2002. "Machine Dreams," Cambridge Books, Cambridge University Press, number 9780521775267.
    7. Deirdre McCloskey, 1998. "Simulating Barbara," Feminist Economics, Taylor & Francis Journals, vol. 4(3), pages 181-186.
    8. Nicolaas J. Vriend, 2002. "Was Hayek an Ace?," Southern Economic Journal, John Wiley & Sons, vol. 68(4), pages 811-840, April.
    9. 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.
    10. Kirman, Alan, 1989. "The Intrinsic Limits of Modern Economic Theory: The Emperor Has No Clothes," Economic Journal, Royal Economic Society, vol. 99(395), pages 126-139, Supplemen.
    11. Nicolaas J. Vriend, 2002. "Was Hayek an Ace?," Southern Economic Journal, John Wiley & Sons, vol. 68(4), pages 811-840, April.
    12. Tesfatsion, Leigh, 2006. "Agent-Based Computational Economics: A Constructive Approach to Economic Theory," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 16, pages 831-880, Elsevier.
    13. Harold W. Watts, 1991. "Distinguished Fellow: An Appreciation of Guy Orcutt," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 171-179, Winter.
    14. Leigh Tesfatsion, 2002. "Agent-Based Computational Economics," Computational Economics 0203001, University Library of Munich, Germany, revised 15 Aug 2002.
    15. Robert Axelrod, 1997. "Advancing the Art of Simulation in the Social Sciences," Working Papers 97-05-048, Santa Fe Institute.
    16. Hahn, Frank, 1991. "The Next Hundred Years," Economic Journal, Royal Economic Society, vol. 101(404), pages 47-50, January.
    17. Foster, John, 1995. "The impact of the self organisation approach on economic science: why economic theory and history need no longer be mutually exclusive domains," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(3), pages 393-398.
    18. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-493, May.
    19. Holland, John H & Miller, John H, 1991. "Artificial Adaptive Agents in Economic Theory," American Economic Review, American Economic Association, vol. 81(2), pages 365-371, May.
    20. Williamson, Oliver E, 1988. "The Logic of Economic Organization," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 4(1), pages 65-93, Spring.
    21. Arifovic, Jasmina, 1996. "The Behavior of the Exchange Rate in the Genetic Algorithm and Experimental Economies," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 510-541, June.
    22. Robert Axtell & Robert Axelrod & Joshua M. Epstein & Michael D. Cohen, 1995. "Aligning Simulation Models: A Case Study and Results," Working Papers 95-07-065, Santa Fe Institute.
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    Cited by:

    1. Michaelides, Panayotis G. & Belegri-Roboli, Athena & Arapis, Gerasimos, 2009. "Early Nonlinear Modelling in Economic Analysis: The Hicks Model for Greece Revisited," MPRA Paper 67112, University Library of Munich, Germany.
    2. Lutengano Mwinuka & Khamaldin Daud Mutabazi & Stefan Sieber & Jeremia Makindara & Jean-Claude Bizimana, 2017. "An economic risk analysis of fertiliser microdosing and rainwater harvesting in a semi-arid farming system in Tanzania," Agrekon, Taylor & Francis Journals, vol. 56(3), pages 274-289, July.
    3. Magda Fontana, 2010. "The Santa Fe Perspective on economics: emerging patterns in the science of complexity," History of Economic Ideas, Fabrizio Serra Editore, Pisa - Roma, vol. 18(2), pages 167-196.
    4. Alessandro Vaglio, 2010. "Economic growth, Koestler cycles and the lock chamber effect," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 57(4), pages 369-393, December.
    5. Fontana Magda, 2008. "The complexity approach to economics : a Paradigm shift," CESMEP Working Papers 200801, University of Turin.
    6. Arthur, W. Brian, 2023. "Economics in nouns and verbs," Journal of Economic Behavior & Organization, Elsevier, vol. 205(C), pages 638-647.
    7. Andrew, Rogers & Makindara, Jeremia & Mbaga, Said H. & Alphonce, Roselyne, 2019. "Economic viability of newly introduced chicken strains at village level in Tanzania: FARMSIM model simulation approach," Agricultural Systems, Elsevier, vol. 176(C).
    8. Fontana, Magda, 2010. "Can neoclassical economics handle complexity? The fallacy of the oil spot dynamic," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 584-596, December.
    9. Gunnar Eliasson, 2018. "Why Complex, Data Demanding and Difficult to Estimate Agent Based Models? Lessons from a Decades Long Research Program," International Journal of Microsimulation, International Microsimulation Association, vol. 11(1), pages 4-60.

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    More about this item

    Keywords

    C63; B4; A12; computer simulation; economic methodology; multi-agent programming techniques;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines

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