BOOLEAN DELAY EQUATIONS ON NETWORKS IN ECONOMICS AND THE GEOSCIENCES

Barbara Coluzzi, Michael Ghil, Stephane Hallegatte and Gerard Weisbuch
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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
Gerard Weisbuch: ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres

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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.

Date: 2011
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Published in International journal of bifurcation and chaos in applied sciences and engineering , 2011, 21 (12), pp.3511-3548. ⟨10.1142/S0218127411030702⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00716516

DOI: 10.1142/S0218127411030702

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