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On the emergence of scale-free production networks

Author

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  • Stanislao Gualdi

    (CentraleSupélec, MICS - Mathématiques et Informatique pour la Complexité et les Systèmes - CentraleSupélec)

  • Antoine Mandel

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We propose a simple dynamical model for the formation of production networks among monopolistically competitive firms. The model subsumes the standard general equilibrium approach à la Arrow–Debreu but displays a wide set of potential dynamic behaviors. It robustly reproduces key stylized facts of firms׳ demographics. Our main result is that competition between intermediate good producers generically leads to the emergence of scale-free production networks.

Suggested Citation

  • Stanislao Gualdi & Antoine Mandel, 2016. "On the emergence of scale-free production networks," Post-Print halshs-01387547, HAL.
    • Handle: RePEc:hal:journl:halshs-01387547
    DOI: 10.1016/j.jedc.2016.09.012
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01387547
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    1. Bak, Per & Chen, Kan & Scheinkman, Jose & Woodford, Michael, 1993. "Aggregate fluctuations from independent sectoral shocks: self-organized criticality in a model of production and inventory dynamics," Ricerche Economiche, Elsevier, vol. 47(1), pages 3-30, March.
    2. Vasco M. Carvalho & Nico Voigtländer, 2014. "Input Diffusion and the Evolution of Production Networks," NBER Working Papers 20025, National Bureau of Economic Research, Inc.
    3. Alex Coad, 2009. "The Growth of Firms," Books, Edward Elgar Publishing, number 13424.
    4. Fisher,Franklin M., 1989. "Disequilibrium Foundations of Equilibrium Economics," Cambridge Books, Cambridge University Press, number 9780521378567, September.
    5. Daron Acemoglu & Vasco M. Carvalho & Asuman Ozdaglar & Alireza Tahbaz‐Salehi, 2012. "The Network Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 80(5), pages 1977-2016, September.
    6. Bottazzi, Giulio & Dosi, Giovanni & Lippi, Marco & Pammolli, Fabio & Riccaboni, Massimo, 2001. "Innovation and corporate growth in the evolution of the drug industry," International Journal of Industrial Organization, Elsevier, vol. 19(7), pages 1161-1187, July.
    7. Xiaokai Yang & Jeff Borland, 2005. "A Microeconomic Mechanism For Economic Growth," World Scientific Book Chapters, in: An Inframarginal Approach To Trade Theory, chapter 18, pages 409-436, World Scientific Publishing Co. Pte. Ltd..
    8. König, Michael D. & Battiston, Stefano & Napoletano, Mauro & Schweitzer, Frank, 2012. "The efficiency and stability of R&D networks," Games and Economic Behavior, Elsevier, vol. 75(2), pages 694-713.
    9. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    10. Weisbuch, Gérard & Battiston, Stefano, 2007. "From production networks to geographical economics," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 448-469.
    11. Tor Jakob Klette & Samuel Kortum, 2004. "Innovating Firms and Aggregate Innovation," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 986-1018, October.
    12. , D. & Tessone, Claudio J. & ,, 2014. "Nestedness in networks: A theoretical model and some applications," Theoretical Economics, Econometric Society, vol. 9(3), September.
    13. Richard Ericson & Ariel Pakes, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(1), pages 53-82.
    14. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    15. Nunes Amaral, Luís A & Buldyrev, Sergey V & Havlin, Shlomo & Maass, Philipp & Salinger, Michael A & Eugene Stanley, H & Stanley, Michael H.R, 1997. "Scaling behavior in economics: The problem of quantifying company growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 1-24.
    16. Giulio Bottazzi & Angelo Secchi, 2006. "Explaining the distribution of firm growth rates," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 235-256, June.
    17. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    18. Xavier Gabaix, 2011. "The Granular Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(3), pages 733-772, May.
    19. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
    20. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Establishment Size Dynamics in the Aggregate Economy," American Economic Review, American Economic Association, vol. 97(5), pages 1639-1666, December.
    21. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    22. Steven Klepper & Peter Thompson, 2006. "Submarkets and the evolution of market structure," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 861-886, December.
    23. Steven Klepper & Peter Thompson, 2006. "Submarkets and the evolution of market structure," RAND Journal of Economics, The RAND Corporation, vol. 37(4), pages 861-886, December.
    24. Gualdi, Stanislao & Tarzia, Marco & Zamponi, Francesco & Bouchaud, Jean-Philippe, 2015. "Tipping points in macroeconomic agent-based models," Journal of Economic Dynamics and Control, Elsevier, vol. 50(C), pages 29-61.
    25. Thesmar , David & Landier , Augustin, 2014. "Instabilities in Large Economies: Aggregate Volatility Without Idiosyncratic Shocks," HEC Research Papers Series 1052, HEC Paris.
    26. Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 1103-1144.
    27. L. A. N. Amaral & S. V. Buldyrev & S. Havlin & H. Leschhorn & P. Maass & M. A. Salinger & H. E. Stanley & M. H. R. Stanley, 1997. "Scaling behavior in economics: I. Empirical results for company growth," Papers cond-mat/9702082, arXiv.org.
    28. Cheng, Wenli & Yang, Xiaokai, 2004. "Inframarginal analysis of division of labor: A survey," Journal of Economic Behavior & Organization, Elsevier, vol. 55(2), pages 137-174, October.
    29. Scheinkman, Jose A & Woodford, Michael, 1994. "Self-Organized Criticality and Economic Fluctuations," American Economic Review, American Economic Association, vol. 84(2), pages 417-421, May.
    30. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, September.
    31. Ethier, Wilfred J, 1982. "National and International Returns to Scale in the Modern Theory of International Trade," American Economic Review, American Economic Association, vol. 72(3), pages 389-405, June.
    32. de Martí Beltran, Joan, 2009. "Matthew O. Jackson, Social and Economic Networks , Princeton University Press (2008)," Regional Science and Urban Economics, Elsevier, vol. 39(5), pages 644-645, September.
    33. Arthur, W. Brian, 2006. "Out-of-Equilibrium Economics and Agent-Based Modeling," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 32, pages 1551-1564, Elsevier.
    34. Battiston, Stefano & Delli Gatti, Domenico & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2007. "Credit chains and bankruptcy propagation in production networks," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2061-2084, June.
    35. S. V. Buldyrev & L. A. N. Amaral & S. Havlin & H. Leschhorn & P. Maass & M. A. Salinger & H. E. Stanley & M. H. R. Stanley, 1997. "Scaling behavior in economics: II. Modeling of company growth," Papers cond-mat/9702085, arXiv.org.
    36. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
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    Cited by:

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    2. Otto, C. & Willner, S.N. & Wenz, L. & Frieler, K. & Levermann, A., 2017. "Modeling loss-propagation in the global supply network: The dynamic agent-based model acclimate," Journal of Economic Dynamics and Control, Elsevier, vol. 83(C), pages 232-269.
    3. Stanislao Gualdi & Antoine Mandel, 2019. "Endogenous growth in production networks," Journal of Evolutionary Economics, Springer, vol. 29(1), pages 91-117, March.
    4. Kushal K. Reddy & Vipin P. Veetil, 2023. "Business cycles and the internal dynamics of firms," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 36(1), pages 43-60, March.
    5. Antoine Mandel & Vipin Veetil, 2020. "The Economic Cost of COVID Lockdowns: An Out-of-Equilibrium Analysis," Economics of Disasters and Climate Change, Springer, vol. 4(3), pages 431-451, October.
    6. Yoshiyuki ARATA & Philipp MUNDT, 2019. "Topology and Formation of Production Input Interlinkages: Evidence from Japanese microdata," Discussion papers 19027, Research Institute of Economy, Trade and Industry (RIETI).
    7. Mandel, Antoine & Taghawi-Nejad, Davoud & Veetil, Vipin P., 2019. "The price effects of monetary shocks in a network economy," Journal of Economic Behavior & Organization, Elsevier, vol. 164(C), pages 300-316.
    8. Mundt, Philipp, 2021. "The formation of input–output architecture: Evidence from the European Union," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 89-104.
    9. Kuhla, Kilian & Willner, Sven N & Otto, Christian & Levermann, Anders, 2023. "Resilience of international trade to typhoon-related supply disruptions," Journal of Economic Dynamics and Control, Elsevier, vol. 151(C).
    10. Karpf, Andreas & Mandel, Antoine & Battiston, Stefano, 2018. "Price and network dynamics in the European carbon market," Journal of Economic Behavior & Organization, Elsevier, vol. 153(C), pages 103-122.
    11. Otto, Christian & Willner, Sven Norman & Wenz, Leonie & Frieler, Katja & Levermann, Anders, 2017. "Modeling loss-propagation in the global supply network: The dynamic agent-based model acclimate," OSF Preprints 7yyhd, Center for Open Science.
    12. Leonie Wenz & Anders Levermann & Sven Norman Willner & Christian Otto & Kilian Kuhla, 2020. "Post-Brexit no-trade-deal scenario: Short-term consumer benefit at the expense of long-term economic development," PLOS ONE, Public Library of Science, vol. 15(9), pages 1-14, September.
    13. Veetil, Vipin P. & Wagner, Richard E., 2018. "Nominal GDP stabilization: Chasing a mirage," The Quarterly Review of Economics and Finance, Elsevier, vol. 67(C), pages 227-236.
    14. Hiroyasu Inoue & Yasuyuki Todo, 2019. "Propagation of negative shocks across nation-wide firm networks," PLOS ONE, Public Library of Science, vol. 14(3), pages 1-17, March.
    15. Vipin P. Veetil & Lawrence H. White, 2017. "Towards a New Austrian Macroeconomics," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 30(1), pages 19-38, March.
    16. Hempfing, Alexander & Mundt, Philipp, 2022. "Tie formation in global production chains," BERG Working Paper Series 181, Bamberg University, Bamberg Economic Research Group.

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    More about this item

    Keywords

    General equilibrium; Production network; Monopolistic competition; Distribution of firms׳ size; Firms demographics; Scale-free networks;
    All these keywords.

    JEL classification:

    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • L16 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Industrial Organization and Macroeconomics; Macroeconomic Industrial Structure

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