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Published in:
2023 | OriginalPaper | Chapter
Dynamic Approach to Modeling Hierarchical Conflict Situations in Small Groups
Authors : Ludmila Borisova, Mira Fridman
Published in: Modeling and Simulation of Social-Behavioral Phenomena in Creative Societies
Publisher: Springer Nature Switzerland
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Abstract
The paper deals with a dynamic approach to modeling some social conflicts using differential equations. The presence of conflicts in society at different levels has both negative and positive aspects. The negative ones include financial, material, psychological and other losses, up to the loss of participants’ lives. However, there is also a certain positive moment - the conflict, like any movement in society, contributes to its development and exit from the state of stagnation.
The dynamic approach proposed by the authors finds application not in global and mass conflicts, but in the interaction of small groups of participants. This model has certain limitations, but its application in some cases allows obtaining results confirming its adequacy.
In this paper a dynamic model (linear and non-linear) is used to study the superior-subordinate (boss-subordinates) conflict. The results obtained allow us to formulate the conditions that the exhaustion of the resources of one of the parties, leading to the end of the confrontation between the participants (players in terms of game theory).
The nonlinear dynamic model leads to interesting results - the independence of the solution from the initial conditions. The solution is determined only by the ratio of the model parameters. The paper analyzes marginal outcomes and their impact on conflict resolution. Conditions are formulated under which the end of the conflict means the complete disappearance of the initiative of workers.