×

Credit chains and bankruptcy propagation in production networks. (English) Zbl 1201.91211

Summary: We present a simple model of a production network in which firms are linked by supplier-customer relationships involving extension of trade-credit. Our aim is to identify the minimal set of mechanisms which reproduce qualitatively the main stylized facts of industrial demography, such as firms’ size distribution, and, at the same time, the correlation, over time and across firms, of output, growth and bankruptcies. The behavior of aggregate variables can be traced back to the direct firm-firm interdependence. In this paper, we assume that the number of firms is constant and the network has a periodic static structure. But the framework allows further extensions to investigate which network structures are more robust against domino effects and, if the network is let to evolve in time, which structures emerge spontaneously, depending on the individual strategies for orders and delivery.

MSC:

91G40 Credit risk
90B10 Deterministic network models in operations research
91B38 Production theory, theory of the firm

References:

[1] Allen, F.; Gale, D., Financial contagion, Journal of Political Economy, 108 (2000)
[2] Bak, P.; Chen, K.; Scheinkman, J.; Woodford, M., Aggregate fluctuations from independent sectoral shocks: self-organized criticality in a model of production and inventory dynamics, Ricerche Economiche, 47, 3-30 (1993) · Zbl 0808.90032
[3] Biham, O.; Malcai, O.; Levy, M.; Solomon, S., Generic emergence of power law distributions and Lévy-stable intermittent fluctuations in discrete logistic systems, Physical Reviews E, 58, 1352 (1998), \( \langle\) http://xxx.lanl.gov/abs/adap-org/\(9804001 \rangle \)
[4] Boissay, F., 2006. Credit chains and the propagation of financial distress. European Central Bank Working Paper, 573.; Boissay, F., 2006. Credit chains and the propagation of financial distress. European Central Bank Working Paper, 573.
[5] Delli Gatti, D.; Di Guilmi, C.; Gaffeo, E.; Giulioni, G.; Gallegati, M.; Palestrini, A., A new approach to business fluctuations: heterogeneous interacting agents, scaling laws and financial fragility, Journal of Economic Behavior and Organization, 56, 4, 489-512 (2005), \( \langle\) http://arxiv.org/abs/cond-mat/\(0312096 \rangle \)
[6] Elligsen, T., Burkart, M., 2002. In-kind finance. LSE Financial Markets Group Discussion Paper, 421.; Elligsen, T., Burkart, M., 2002. In-kind finance. LSE Financial Markets Group Discussion Paper, 421.
[7] Greenwald, B.; Stiglitz, J., Financial market imperfections and business cycles, Quarterly Journal of Economics, 108, 77-114 (1993)
[8] Hahn, F. H.; Solow, R., A Critical Essay on Modern Macroeconomic Theory (1995), MIT Press: MIT Press Cambridge, MA
[9] Kesten, H., Random difference equations and renewal theory for products of random matrices, Acta Mathematica, 131, 207-248 (1973) · Zbl 0291.60029
[10] Kiyotaki, N.; Moore, J., Credit cycles, Journal of Political Economy, 105, 211-248 (1997)
[11] Klapper, L., 2001. The uniqueness of short-term collateralization. World Bank, Policy Research Working Paper, 2544.; Klapper, L., 2001. The uniqueness of short-term collateralization. World Bank, Policy Research Working Paper, 2544.
[12] Lee, Y.; Stowe, J., Product risk, asymmetric information and trade credit, Journal of Financial and Quantitative Analysis, 28 (1993)
[13] Leijonhuvfud, A., Keynesian economics: past confusions, future prospects, (Vercelli, A.; Dimitri, N., Macroeconomics: A Survey of Research Strategies (1992), Oxford University Press: Oxford University Press Oxford), 16-37
[14] Leijonhuvfud, A., Towards a not-too-rational macroeconomics, Southern Economic Journal, 60, 1-13 (1993)
[15] Nirei, M.; Souma, W., Income distribution and stochastic multiplicative process with reset events, (The Complex Dynamics of Economic Interaction (2003), Springer: Springer Berlin) · Zbl 1096.91506
[16] Omiccioli, M., 2005. Trade credit as collateral. Temi di discussione della Banca d’Italia, 553.; Omiccioli, M., 2005. Trade credit as collateral. Temi di discussione della Banca d’Italia, 553.
[17] Petersen, M.; Rajan, R., Trade credit: theories and evidence, Review of Financial Studies, 10 (1997)
[18] Sornette, D., Multiplicative processes and power laws, Physical Reviews E, 57, N4, 4811-4813 (1998)
[19] Stiglitz, J.; Greenwald, B., Towards a New Paradigm in Monetary Economics (2003), Cambridge University Press: Cambridge University Press Cambridge, UK
[20] Weisbuch, G., Battiston, S., 2007. From production networks to geographical economics. Journal of Economic Behavior and Organization, forthcoming.; Weisbuch, G., Battiston, S., 2007. From production networks to geographical economics. Journal of Economic Behavior and Organization, forthcoming.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.