Research Article
Year 2025,
Volume: 7 Issue: 1, 78 - 86, 31.03.2025
Abstract
The Axelrod Model (AM) is widely recognized as a valuable tool for simulating cultural dissemination within societies. This study examines the impact of an intelligent mass media system on monoculture formation in AM and its effects on cultural dynamics. Agent-based simulations were conducted on a structured \(G_{L,L}\) lattice network, employing an experimental design to observe effects of variations in key model parameters \(q\), \(\epsilon\), and \(C\). Results reveal dynamic transitions between monocultural and n-cultural states, contingent on the interplay of parameters. The experimental design enabled a novel visualization of the data, identifying robust patterns of coexistence, where both absorbing states coexist under specific conditions. Additionally, a relationship was established between the largest cultural region size (\(S_{\text{max}}\)), the numbers of final cultural regions (\(n_R\)), and mass media information proportion in the lattice (\(\rho\)) using a least-squares approximation. This study confirms that mass media can be a critical force in cultural stability, not only promoting monocultural states but also facilitating cultural diversity under certain conditions.
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References
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- Carletti, T., D. Fanelli, S. Grolli, and A. Guarino, 2006 How to make an efficient propaganda. Europhysics Letters 74: 222.
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- Cosenza, M. G., M. Gavidia, and J. C. González-Avella, 2020 Against mass media trends: Minority growth in cultural globalization. Plos one 15: e0230923.
- Crokidakis, N., 2012 Effects of mass media on opinion spreading in the sznajd sociophysics model. Physica A: Statistical Mechanics and its Applications 391: 1729–1734.
- Flache, A. and M. W. Macy, 2006 What sustains cultural diversity and what undermines it? axelrod and beyond. arXiv preprint physics/0604201 .
- González-Avella, J. C., M. G. Cosenza, and M. San Miguel, 2012 A model for cross-cultural reciprocal interactions through mass media. PloS one 7: e51035.
- González-Avella, J. C., M. G. Cosenza, and M. San Miguel, 2014 Localized coherence in two interacting populations of social agents. Physica A: Statistical Mechanics and its Applications 399: 24–30.
- González-Avella, J. C., M. G. Cosenza, and K. Tucci, 2005 Nonequilibrium transition induced by mass media in a model for social influence. Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 72: 065102.
- Gracia-Lázaro, C., E. Brigatti, A. R. Hernández, and Y. Moreno, 2021 Polarization inhibits the phase transition of axelrod’s model. Physical Review E 103: 062306.
- Gracia-Lázaro, C., L. Floria, and Y. Moreno, 2011 Selective advantage of tolerant cultural traits in the axelrod-schelling model. Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 83: 056103.
- Hernández, A. R., C. Gracia-Lázaro, E. Brigatti, and Y. Moreno, 2018 Robustness of cultural communities in an open-ended axelrod’s model. Physica A: Statistical Mechanics and Its Applications 509: 492–500.
- Jacobmeier, D., 2005 Multidimensional consensus model on a barabási–albert network. International Journal of Modern Physics C 16: 633–646.
- Klemm, K., V. M. Eguíluz, R. Toral, and M. San Miguel, 2003a Global culture: A noise-induced transition in finite systems. Physical Review E 67: 045101.
- Klemm, K., V. M. Eguíluz, R. Toral, and M. San Miguel, 2003b Nonequilibrium transitions in complex networks: A model of social interaction. Physical review E 67: 026120.
- Marquardt, D.W., 1963 An algorithm for least-squares estimation of nonlinear parameters. Journal of the society for Industrial and Applied Mathematics 11: 431–441.
- Raducha, T. and T. Gubiec, 2017 Coevolving complex networks in the model of social interactions. Physica A: Statistical Mechanics and its Applications 471: 427–435.
- Railsback, S. F. and V. Grimm, 2019 Agent-based and individual-based modeling: a practical introduction. Princeton university press.
- Rodríguez, A. H., M. del Castillo-Mussot, and G. Vázquez, 2009 Induced monoculture in axelrod model with clever mass media. International Journal of Modern Physics C 20: 1233–1245.
- Rodríguez, A. H. and Y. Moreno, 2010 Effects of mass media action on the axelrod model with social influence. Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 82: 016111.
- Shibanai, Y., S. Yasuno, and I. Ishiguro, 2001 Effects of global information feedback on diversity: extensions to axelrod’s adaptive culture model. Journal of Conflict Resolution 45: 80–96.
- Stivala, A., Y. Kashima, and M. Kirley, 2016 Culture and cooperation in a spatial public goods game. Physical Review E 94: 032303.
- Stivala, A., G. Robins, Y. Kashima, and M. Kirley, 2014 Ultrametric distribution of culture vectors in an extended axelrod model of cultural dissemination. Scientific reports 4: 4870.
- Tilles, P. F. and J. F. Fontanari, 2015 Diffusion of innovations in axelrod’s model. Journal of Statistical Mechanics: Theory and Experiment 2015: P11026.
Year 2025,
Volume: 7 Issue: 1, 78 - 86, 31.03.2025
Abstract
References
- Alvarez-Llamoza, O., M. Cosenza, J. Gonzalez-Avella, M. Suarez, K. Tucci, et al., 2024 Mass media competition and alternative ordering in social dynamics. Physical Review E 110: 024311.
- Axelrod, R., 1997 The dissemination of culture: A model with local convergence and global polarization. Journal of conflict resolution 41: 203–226.
- Campos Cantón, E., 2025 Orbits of families of discrete dynamical systems evolving in the natural numbers. Chaos: An Interdisciplinary Journal of Nonlinear Science 35.
- Carletti, T., D. Fanelli, S. Grolli, and A. Guarino, 2006 How to make an efficient propaganda. Europhysics Letters 74: 222.
- Centola, D., J. C. Gonzalez-Avella, V. M. Eguiluz, and M. San Miguel, 2007 Homophily, cultural drift, and the coevolution of cultural groups. Journal of Conflict Resolution 51: 905–929.
- Cosenza, M. G., M. Gavidia, and J. C. González-Avella, 2020 Against mass media trends: Minority growth in cultural globalization. Plos one 15: e0230923.
- Crokidakis, N., 2012 Effects of mass media on opinion spreading in the sznajd sociophysics model. Physica A: Statistical Mechanics and its Applications 391: 1729–1734.
- Flache, A. and M. W. Macy, 2006 What sustains cultural diversity and what undermines it? axelrod and beyond. arXiv preprint physics/0604201 .
- González-Avella, J. C., M. G. Cosenza, and M. San Miguel, 2012 A model for cross-cultural reciprocal interactions through mass media. PloS one 7: e51035.
- González-Avella, J. C., M. G. Cosenza, and M. San Miguel, 2014 Localized coherence in two interacting populations of social agents. Physica A: Statistical Mechanics and its Applications 399: 24–30.
- González-Avella, J. C., M. G. Cosenza, and K. Tucci, 2005 Nonequilibrium transition induced by mass media in a model for social influence. Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 72: 065102.
- Gracia-Lázaro, C., E. Brigatti, A. R. Hernández, and Y. Moreno, 2021 Polarization inhibits the phase transition of axelrod’s model. Physical Review E 103: 062306.
- Gracia-Lázaro, C., L. Floria, and Y. Moreno, 2011 Selective advantage of tolerant cultural traits in the axelrod-schelling model. Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 83: 056103.
- Hernández, A. R., C. Gracia-Lázaro, E. Brigatti, and Y. Moreno, 2018 Robustness of cultural communities in an open-ended axelrod’s model. Physica A: Statistical Mechanics and Its Applications 509: 492–500.
- Jacobmeier, D., 2005 Multidimensional consensus model on a barabási–albert network. International Journal of Modern Physics C 16: 633–646.
- Klemm, K., V. M. Eguíluz, R. Toral, and M. San Miguel, 2003a Global culture: A noise-induced transition in finite systems. Physical Review E 67: 045101.
- Klemm, K., V. M. Eguíluz, R. Toral, and M. San Miguel, 2003b Nonequilibrium transitions in complex networks: A model of social interaction. Physical review E 67: 026120.
- Marquardt, D.W., 1963 An algorithm for least-squares estimation of nonlinear parameters. Journal of the society for Industrial and Applied Mathematics 11: 431–441.
- Raducha, T. and T. Gubiec, 2017 Coevolving complex networks in the model of social interactions. Physica A: Statistical Mechanics and its Applications 471: 427–435.
- Railsback, S. F. and V. Grimm, 2019 Agent-based and individual-based modeling: a practical introduction. Princeton university press.
- Rodríguez, A. H., M. del Castillo-Mussot, and G. Vázquez, 2009 Induced monoculture in axelrod model with clever mass media. International Journal of Modern Physics C 20: 1233–1245.
- Rodríguez, A. H. and Y. Moreno, 2010 Effects of mass media action on the axelrod model with social influence. Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 82: 016111.
- Shibanai, Y., S. Yasuno, and I. Ishiguro, 2001 Effects of global information feedback on diversity: extensions to axelrod’s adaptive culture model. Journal of Conflict Resolution 45: 80–96.
- Stivala, A., Y. Kashima, and M. Kirley, 2016 Culture and cooperation in a spatial public goods game. Physical Review E 94: 032303.
- Stivala, A., G. Robins, Y. Kashima, and M. Kirley, 2014 Ultrametric distribution of culture vectors in an extended axelrod model of cultural dissemination. Scientific reports 4: 4870.
- Tilles, P. F. and J. F. Fontanari, 2015 Diffusion of innovations in axelrod’s model. Journal of Statistical Mechanics: Theory and Experiment 2015: P11026.
There are 26 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Complex Systems in Mathematics, Dynamical Systems in Applications |
| Journal Section | Research Articles |
| Authors | |
| Publication Date | March 31, 2025 |
| Submission Date | December 18, 2024 |
| Acceptance Date | February 18, 2025 |
| Published in Issue | Year 2025 Volume: 7 Issue: 1 |
Chaos Theory and Applications in Applied Sciences and Engineering: An interdisciplinary journal of nonlinear science
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