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Self-Organized Temporal Criticality: Bottom-Up Resilience versus Top-Down Vulnerability

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  • Korosh Mahmoodi
  • Bruce J. West
  • Paolo Grigolini

Abstract

We propose a social model of spontaneous self-organization generating criticality and resilience, called Self-Organized Temporal Criticality (SOTC). The criticality-induced long-range correlation favors the societal benefit and can be interpreted as the social system becoming cognizant of the fact that altruism generates societal benefit. We show that when the spontaneous bottom-up emergence of altruism is replaced by a top-down process, mimicking the leadership of an elite, the crucial events favoring the system’s resilience are turned into collapses, corresponding to the falls of the leading elites. We also show with numerical simulation that the top-down SOTC lacks the resilience of the bottom-up SOTC. We propose this theoretical model to contribute to the mathematical foundation of theoretical sociology illustrated in 1901 by Pareto to explain the rise and fall of elites.

Suggested Citation

  • Korosh Mahmoodi & Bruce J. West & Paolo Grigolini, 2018. "Self-Organized Temporal Criticality: Bottom-Up Resilience versus Top-Down Vulnerability," Complexity, Hindawi, vol. 2018, pages 1-10, March.
    • Handle: RePEc:hin:complx:8139058
    DOI: 10.1155/2018/8139058
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    References listed on IDEAS

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    5. Luković, Mirko & Vanni, Fabio & Svenkeson, Adam & Grigolini, Paolo, 2014. "Transmission of information at criticality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 430-438.
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    Cited by:

    1. S. S. Askar & A. Al-khedhairi, 2019. "Analysis of a Four-Firm Competition Based on a Generalized Bounded Rationality and Different Mechanisms," Complexity, Hindawi, vol. 2019, pages 1-12, May.
    2. Baxley, Jacob D. & Lambert, David R. & Bologna, Mauro & West, Bruce J. & Grigolini, Paolo, 2023. "Unveiling pseudo-crucial events in noise-induced phase transitions," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Tao, Yong & Sornette, Didier & Lin, Li, 2021. "Emerging social brain: A collective self-motivated Boltzmann machine," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    4. Paolo Grigolini, 2019. "Cognition: from Physiology to Sociology and Back," Annals of Social Sciences & Management studies, Juniper Publishers Inc., vol. 2(4), pages 110-111, January.
    5. Muir, Callum & Cortez, Jordan & Grigolini, Paolo, 2020. "Interacting faults in california and hindu kush," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

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