Two-actor conflict with time delay: A dynamical model

Murad R. Qubbaj, Rachata Muneepeerakul

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    4 Scopus citations

    Abstract

    Recent mathematical dynamical models of the conflict between two different actors, be they nations, groups, or individuals, have been developed that are capable of predicting various outcomes depending on the chosen feedback strategies, initial conditions, and the previous states of the actors. In addition to these factors, this paper examines the effect of time delayed feedback on the conflict dynamics. Our analysis shows that under certain initial and feedback conditions, a stable neutral equilibrium of conflict may destabilize for some critical values of time delay, and the two actors may evolve to new emotional states. We investigate the results by constructing critical delay surfaces for different sets of parameters and analyzing results from numerical simulations. These results provide new insights regarding conflict and conflict resolution and may help planners in adjusting and assessing their strategic decisions.

    Original languageEnglish (US)
    Article number056101
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume86
    Issue number5
    DOIs
    StatePublished - Nov 1 2012

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    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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