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

• Legal notice:
  

  Copyright (c) Pielaszek Research, all rights reserved.
  The above materials, including auxiliary resources, are subject to Publisher's copyright and the Author(s) intellectual rights. Without limiting Author(s) rights under respective Copyright Transfer Agreement, no part of the above documents may be reproduced without the express written permission of Pielaszek Research, the Publisher. Express permission from the Author(s) is required to use the above materials for academic purposes, such as lectures or scientific presentations.
  In every case, proper references including Author(s) name(s) and URL of this webpage: https://science24.com/paper/2448 must be provided.

1. Heider balance in bilayer networks
2. Hierarchical Partitions of Social Networks Between Rivaling Leaders
3. New constant of motion for coevolving voter model
4. Multiples of ten in the survey data on the number of friends
5. Paradox of integration – mean field approach
6. Paradox of integration - a computational model
7. No more presidents in my family
8. The Simmel effect and babies names
9. Reputation-based cooperation – what if errors?
10. Distribution of time lags between pedestrians
11. Critical slowing down in strategy selection in crowd
12. More stochastic repulsion in culture dissemination 
13. A line graph as a model of a social network
14. Time lags in evacuation in the social force model
15. Bounded confidence model: addressed information maintain diversity of opinions
16. Indifferents as an interface between Contra and Pro
17. The Zaller model of mass opinion with interactions
18. The norm game in a mean-field society
19. The Sznajd dynamics in a social network
20. Magnetic ordering in a social structure
21. Efficiency of social dimerization
22. Needs and decisions in ghetto
23. Gossip in random networks
24. Matrix representation of evolving networks