A Numerical Trip to Social Psychology: Long-Living States of Cognitive Dissonance

The Heider theory of cognitive dissonance in social groups, formulated recently in terms of differential equations, is generalized here for the case of asymmetric interpersonal ties. The space of initial states is penetrated by starting the time evolution several times with random initial conditions. Numerical results show the fat-tailed distribution of the time when the dissonance is removed. For small groups (N=3) we found some characteristic patterns of the long-living states. There, mutual relations of one of the pairs differ in sign. PACS numbers: 89.65.-s, 02.50.-r.

[1]  Patrick Doreian,et al.  Some dynamics of social balance processes: bringing Heider back into balance theory , 2003, Soc. Networks.

[2]  Norman Davies,et al.  Europe: A History , 1996 .

[3]  B. A. Farbey,et al.  Structural Models: An Introduction to the Theory of Directed Graphs , 1966 .

[4]  Zhigang Wang,et al.  Sentiment and social mitosis: Implications of Heider's Balance Theory , 2003, J. Artif. Soc. Soc. Simul..

[5]  P. Doreian,et al.  A partitioning approach to structural balance , 1996 .

[6]  Fritz Heider,et al.  Social perception and phenomenal causality. , 1944 .

[7]  Norman,et al.  Structural Models: An Introduction to the Theory of Directed Graphs. , 1966 .

[8]  L. Freeman.  Finding Social Groups: A Meta-Analysis of the Southern Women Data , 2003 .

[9]  K. Kulakowski,et al.  Heider Balance in Human Networks , 2005 .

[10]  M E J Newman,et al.  Finding and evaluating community structure in networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  F. Heider.  The psychology of interpersonal relations , 1958 .

[12]  W. Zachary,et al.  An Information Flow Model for Conflict and Fission in Small Groups , 1977, Journal of Anthropological Research.

[13]  B. Davies,et al.  The Use of Ada for the ENVISAT-1 Simulator , 1995, Ada-Europe.

[14]  K. Kulakowski,et al.  THE HEIDER BALANCE AND SOCIAL DISTANCE , 2005 .

[15]  R. Kapuściński,et al.  A brief history of balance through time , 1996 .

[16]  K. Kułakowski,et al.  The Heider balance - a continuous approach , 2005, physics/0501073.

[17]  S Redner,et al.  Dynamics of social balance on networks. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  P. L. Krapivsky,et al.  Social balance on networks : The dynamics of friendship and enmity , 2006 .