Dynamics of two-actor cooperation-competition conflict models
Authors:
- Larry S. Liebovitch,
- Vincent Naudot,
- Robin R. Vallacher,
- Andrzej Nowak,
- Lan Bui-Wrzosińska,
- Peter T. Coleman
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.
- Record ID
- IMPORT-ARTICLE-00004475
- Author
- Journal series
- Physica A-Statistical Mechanics and Its Applications, ISSN 0378-4371
- Issue year
- 2008
- Vol
- 387(5)
- Pages
- 6360-6378
- Keywords in English
- Dynamical systems; Conflicts; Social psychology; Mathematical models
- ASJC Classification
- ;
- DOI
- DOI:10.1016/j.physa.2008.07.020 opening in a new tab
- URL
- http://www.sciencedirect.com/science/article/pii/S037843710800664X opening in a new tab
- Language
- (en) English
- File
-
- File: 1
- dynamics-of-2-PhysicaA-2008.pdf
- of 14-09-2015
1 MB
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- Score (nominal)
- 30
- Publication indicators
- : 2014 = 1.253; : 2008 = 1.441 (2) - 2008=1.434 (5)
- Additional fields
- Dorobek Naukowy - Preview URL: http://dn.swps.edu.pl/Podglad.aspx?WpisID=4475
- Dorobek Naukowy - Approve URL: http://dn.swps.edu.pl/Biuro/ZatwierdzanieWpisu.aspx?WpisID=4475
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- Uniform Resource Identifier
- http://192.168.13.97/info/article/IMPORT-ARTICLE-00004475/
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perishopening in a new tab system.