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The Heider balance and social distance

Krzysztof Kułakowski ,  Przemysław Gawroński ,  Piotr Gronek 

AGH University of Science and Technology, Faculty of Physics and Applied Computer Science (AGH), Mickiewicza 30, Kraków 30-059, Poland

Abstract

The Heider balance is usually discussed in terms of cognitive dissonance. Here we stress its role for theory of conflicts. The model system is a group of N persons, represented by nodes of a fully connected graph. A set of differential equations is proposed for the time evolution of the social distance between the group members. This distance can be measured in the Bogardus scale. In the Heider approach, the distance r(i,j) is positive if i and j accept each other, and negative in the opposite. After some time T(N), the system reaches the Heider balance, i.e. two subgraphs appear. Within both subgraphs, all distances are positive; others are negative. We discuss an influence of limitations of the allowed range of the social distance on the system dynamics.

[1] Ch. Kadushin, Introduction to Social Network Theory,
http://home.earthlink.net/~ckadushin/Texts/Basic%20Network%20Concepts.pdf

[2] Z. Wang and W. Thorngate, Sentiment and Social Mitosis: Implications of Heider's Balance Theory, JASSS vol 6 No 3, http://jasss.soc.surrey.ac.uk/6/3/2.html

[3] J. Curran and S. R. Takata, Bogardus Social Distance Scale,
http://www.csudh.edu/dearhabermas/bogardus02.htm

 

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Related papers

Presentation: oral at Symposium on Econo- and Sociophysics 2004, by Krzysztof Kułakowski
See On-line Journal of Symposium on Econo- and Sociophysics 2004

Submitted: 2004-10-10 18:38
Revised:   2009-06-08 12:55