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A Novel Brillouin and Langevin Functions Dynamic Model for Two Conflicting Social Groups: Study of R&D Processes

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  • Ekaterina V. Orlova

    (Department of Economics and Management, Ufa University of Science and Technology, Ufa 450076, Russia)

Abstract

We consider a two-group social conflict under the corporates’ research and development (R&D) business processes. Conflict participants are divided into two groups depending on their attitude to new ideas, technologies, and behavioral style for R&D creative problems—innovators and adapters. We reveal the contradiction that arises between the need to include both types of employees in one project team and their objectively antagonistic positions regarding the methods and approaches to R&D processes. The proposed research methodology is based on a modern post-non-classical paradigm formed on the principles of coherence, interdisciplinarity, openness, and nonlinearity, as well as a sociophysical approach to the social conflicts modeling. We use the general theories of magnetism, paramagnetism, and functions of P. Langevin and L. Brillouin to describe the dynamics of group participants’ preferences regarding the style of conflict behavior. The analogy of paramagnetism, consisting in the orienting effect of the magnetic field, is used to describe social groups interactions that have not only their own interests, but are also influenced by the opinions of opposite social groups. A two-dimensional, four-parameter map represents the dynamics of group conflict. Modeling results show that regardless of the initial states and with certain parameters of intra-group and intergroup interactions, the trajectories eventually converge to an attractor (limit cycle) in a two-dimensional space. No non-periodic or chaotic modes are identified in the two-group conflict, which determines the controllability of the described conflict. The results of the simulation experiments are used as decision support and contradictions resolution aimed at forming the required modes of the corporates’ research and development business processes and ensuring the group participants’ cohesion and depolarization. The results of testing the model at an industrial enterprise are presented.

Suggested Citation

  • Ekaterina V. Orlova, 2024. "A Novel Brillouin and Langevin Functions Dynamic Model for Two Conflicting Social Groups: Study of R&D Processes," Mathematics, MDPI, vol. 12(17), pages 1-26, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2788-:d:1474385
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    References listed on IDEAS

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    1. Ekaterina V. Orlova, 2023. "Inference of Factors for Labor Productivity Growth Used Randomized Experiment and Statistical Causality," Mathematics, MDPI, vol. 11(4), pages 1-22, February.
    2. Michael Kopel, 1997. "Improving the performance of an economic system: Controlling chaos," Journal of Evolutionary Economics, Springer, vol. 7(3), pages 269-289.
    3. Liebovitch, Larry S. & Naudot, Vincent & Vallacher, Robin & Nowak, Andrzej & Bui-Wrzosinska, Lan & Coleman, Peter, 2008. "Dynamics of two-actor cooperation–competition conflict models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6360-6378.
    4. Alan Wilson, 1969. "Notes On Some Concepts In Social Physics," Papers in Regional Science, Wiley Blackwell, vol. 22(1), pages 159-193, January.
    5. Ahmed, E. & Elsadany, A.A. & Puu, Tonu, 2015. "On Bertrand duopoly game with differentiated goods," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 169-179.
    6. Hołyst, Janusz A & Urbanowicz, Krzysztof, 2000. "Chaos control in economical model by time-delayed feedback method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 587-598.
    7. Diep, H.T. & Kaufman, Miron & Kaufman, Sanda, 2017. "Dynamics of two-group conflicts: A statistical physics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 183-199.
    8. Ekaterina V. Orlova, 2023. "Dynamic Regimes for Corporate Human Capital Development Used Reinforcement Learning Methods," Mathematics, MDPI, vol. 11(18), pages 1-22, September.
    9. Nils Stieglitz & Klaus Heine, 2007. "Innovations and the role of complementarities in a strategic theory of the firm," Strategic Management Journal, Wiley Blackwell, vol. 28(1), pages 1-15, January.
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