Boolean delay equations on networks: An application to economic damage propagation
AbstractWe introduce economic models based on Boolean Delay Equations: this formalism makes easier to take into account the complexity of the interactions between firms and is particularly appropriate for studying the propagation of an initial damage due to a catastrophe. Here we concentrate on simple cases, which allow to understand the effects of multiple concurrent production paths as well as the presence of stochasticity in the path time lengths or in the network structure. In absence of flexibility, the shortening of production of a single firm in an isolated network with multiple connections usually ends up by attaining a finite fraction of the firms or the whole economy, whereas the interactions with the outside allow a partial recovering of the activity, giving rise to periodic solutions with waves of damage which propagate across the structure. The damage propagation speed is strongly dependent upon the topology. The existence of multiple concurrent production paths does not necessarily imply a slowing down of the propagation, which can be as fast as the shortest path.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1003.0793.
Date of creation: Mar 2010
Date of revision:
Contact details of provider:
Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-03-20 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Gatti, Domenico Delli & Guilmi, Corrado Di & Gaffeo, Edoardo & Giulioni, Gianfranco & Gallegati, Mauro & Palestrini, Antonio, 2005. "A new approach to business fluctuations: heterogeneous interacting agents, scaling laws and financial fragility," Journal of Economic Behavior & Organization, Elsevier, vol. 56(4), pages 489-512, April.
- Adam Rose & Shu-Yi Liao, 2005. "Modeling Regional Economic Resilience to Disasters: A Computable General Equilibrium Analysis of Water Service Disruptions," Journal of Regional Science, Wiley Blackwell, vol. 45(1), pages 75-112.
- 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,"
Elsevier, vol. 47(1), pages 3-30, March.
- Peter Bak & Kan Chen & Jose Scheinkman & Michael Woodford, 1992. "Aggregate Fluctuations from Independent Sectoral Shocks: Self-Organized Criticality in a Model of Production and Inventory Dynamics," NBER Working Papers 4241, National Bureau of Economic Research, Inc.
- Stéphane Hallegatte & Fanny Henriet, 2008. "Assessing the Consequences of Natural Disasters on Production Networks: A Disaggregated Approach," Working Papers 2008.100, Fondazione Eni Enrico Mattei.
- Weisbuch, Gérard & Battiston, Stefano, 2007. "From production networks to geographical economics," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 448-469.
- Hallegatte, Stephane, 2012. "Modeling the roles of heterogeneity, substitution, and inventories in the assessment of natural disaster economic costs," Policy Research Working Paper Series 6047, The World Bank.
- Henriet, Fanny & Hallegatte, Stéphane & Tabourier, Lionel, 2012.
"Firm-network characteristics and economic robustness to natural disasters,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 36(1), pages 150-167.
- Henriet, F. & Hallegatte, S. & Tabourier, L., 2011. "Firm-Network Characteristics and Economic Robustness to Natural Disasters," Working papers 355, Banque de France.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators).
If references are entirely missing, you can add them using this form.