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Boolean Delay Equations On Networks In Economics And The Geosciences

Author

Listed:
  • Barbara Coluzzi

    (ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres)

  • Michael Ghil

    (ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres, AOS - Department of Atmospheric and Oceanic Sciences [Los Angeles] - UCLA - University of California [Los Angeles] - UC - University of California, IGPP - Institute of Geophysics and Planetary Physics [Los Angeles] - UCLA - University of California [Los Angeles] - UC - University of California)

  • Stéphane Hallegatte

    (CIRED - centre international de recherche sur l'environnement et le développement - Cirad - Centre de Coopération Internationale en Recherche Agronomique pour le Développement - EHESS - École des hautes études en sciences sociales - AgroParisTech - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, Météo-France)

  • Gerard Weisbuch

    (ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres)

Abstract

We study damage propagation in networks, with an emphasis on production-chain models. The models are formulated as systems of Boolean delay equations. This formalism helps take into account the complexity of the interactions between firms; it turns out to be well adapted to investigating propagation of an initial damage due to a climatic or other natural disaster. We consider in detail the effects of distinct delays and forcing, which represent external intervention to prevent economic collapse. We also account for the possible presence of randomness in the links and the delays. The paper concentrates on two different network structures, periodic and random, respectively; their study allows one to understand the effects of multiple, concurrent production paths, and the role played by the network topology in damage propagation. Applications to the recent network modeling of climate variability are discussed.

Suggested Citation

  • Barbara Coluzzi & Michael Ghil & Stéphane Hallegatte & Gerard Weisbuch, 2011. "Boolean Delay Equations On Networks In Economics And The Geosciences," Post-Print hal-00716516, HAL.
    • Handle: RePEc:hal:journl:hal-00716516
    DOI: 10.1142/S0218127411030702
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    Cited by:

    1. Stéphane Hallegatte, 2014. "Modeling the Role of Inventories and Heterogeneity in the Assessment of the Economic Costs of Natural Disasters," Risk Analysis, John Wiley & Sons, vol. 34(1), pages 152-167, January.
    2. Vladimir Dobrić & Pavle Milošević & Aleksandar Rakićević & Bratislav Petrović & Ana Poledica, 2017. "Interpolative Boolean Networks," Complexity, Hindawi, vol. 2017, pages 1-15, October.
    3. Andreas Groth & Patrice Dumas & Michael Ghil & Stéphane Hallegatte, 2015. "Impacts of Natural Disasters on a Dynamic Economy," Post-Print hal-01678074, HAL.
    4. He, Kehan & Mi, Zhifu & Coffman, D'Maris & Guan, Dabo, 2022. "Using a linear regression approach to sequential interindustry model for time-lagged economic impact analysis," Structural Change and Economic Dynamics, Elsevier, vol. 62(C), pages 399-406.

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