Dynamics of two-actor cooperation-competition conflict models

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.
Author Larry S. Liebovitch
Larry S. Liebovitch,,
-
, Vincent Naudot
Vincent Naudot,,
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, Robin R. Vallacher
Robin R. Vallacher,,
-
, Andrzej Nowak (Wydział Psychologii)
Andrzej Nowak,,
- Wydział Psychologii
, Lan Bui-Wrzosińska (Wydział Psychologii)
Lan Bui-Wrzosińska,,
- Wydział Psychologii
, Peter T. Coleman
Peter T. Coleman,,
-
Journal seriesPhysica A-Statistical Mechanics and Its Applications, ISSN 0378-4371, (A 30 pkt)
Issue year2008
Vol387(5)
Pages6360-6378
Keywords in EnglishDynamical systems; Conflicts; Social psychology; Mathematical models
ASJC Classification3104 Condensed Matter Physics; 2613 Statistics and Probability
DOIDOI:10.1016/j.physa.2008.07.020
URL http://www.sciencedirect.com/science/article/pii/S037843710800664X
Languageen angielski
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dynamics-of-2-PhysicaA-2008.pdf of 14-09-2015
1.45 MB
Score (nominal)30
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2014 = 1.253; WoS Impact Factor: 2008 = 1.441 (2) - 2008=1.434 (5)
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Dorobek Naukowy - Preview URLhttp://dn.swps.edu.pl/Podglad.aspx?WpisID=4475
Dorobek Naukowy - Approve URLhttp://dn.swps.edu.pl/Biuro/ZatwierdzanieWpisu.aspx?WpisID=4475
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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