Dynamics of two-actor cooperation–competition conflict models

Larry S. Liebovitch, Vincent Naudot, Robin Vallacher, Andrzej Nowak, Lan Bui-Wrzosinska and Peter Coleman

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 25, 6360-6378

Abstract: We present a nonlinear ordinary differential equation model of the conflict between two actors, who could be individuals, groups, or nations. The state of each actor depends on its own state in isolation, its previous state in time, its inertia to change, and the positive feedback (cooperation) or negative feedback (competition) from the other actor. We analytically determined the stability of the critical points of the model and explored its dynamical behavior through numerical integrations and analytical proofs. Some results of the model are consistent with previously observed characteristics of conflicts, and other results make new testable predictions on how the dynamics of a conflict and its outcome depend on the strategies chosen by the actors.

Keywords: Dynamical systems; Conflicts; Social psychology; Mathematical models (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:25:p:6360-6378

DOI: 10.1016/j.physa.2008.07.020

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