Dynamics Analysis for the Random Homogeneous Biased Assimilation Model
This paper studies the evolution of opinions over random social networks subject to individual biases. An agent reviews the opinion of a randomly selected one and then updates its opinion under homogeneous biased assimilation. This study investigates the impact of biased assimilation on random opini...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/7/1661 |
| _version_ | 1797607523985915904 |
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| author | Jiangbo Zhang Yiyi Zhao |
| author_facet | Jiangbo Zhang Yiyi Zhao |
| author_sort | Jiangbo Zhang |
| collection | DOAJ |
| description | This paper studies the evolution of opinions over random social networks subject to individual biases. An agent reviews the opinion of a randomly selected one and then updates its opinion under homogeneous biased assimilation. This study investigates the impact of biased assimilation on random opinion networks, which is different from the previous studies on fixed network structures. If the bias parameters are static, it is proven that the event in which all agents converge to extreme opinions happens almost surely. Next, the opinion polarization event is proved to be a probability one event. While if the bias parameters are dynamic, the opinion evolution is proven to depend on early finite time slots for the dynamical individual bias parameter functions independent of the biased parameter values after the time threshold. Numerical simulations further show that opinion evolution depends on early finite time slots for some nonlinear dynamical individual bias parameter functions. |
| first_indexed | 2024-03-11T05:31:09Z |
| format | Article |
| id | doaj.art-cf0025c296f04dbbb468755bdf0fe698 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T05:31:09Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-cf0025c296f04dbbb468755bdf0fe6982023-11-17T17:08:51ZengMDPI AGMathematics2227-73902023-03-01117166110.3390/math11071661Dynamics Analysis for the Random Homogeneous Biased Assimilation ModelJiangbo Zhang0Yiyi Zhao1School of Science, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Business Administration, Faculty of Business Administration, Southwestern University of Finance and Economics, Chengdu 611130, ChinaThis paper studies the evolution of opinions over random social networks subject to individual biases. An agent reviews the opinion of a randomly selected one and then updates its opinion under homogeneous biased assimilation. This study investigates the impact of biased assimilation on random opinion networks, which is different from the previous studies on fixed network structures. If the bias parameters are static, it is proven that the event in which all agents converge to extreme opinions happens almost surely. Next, the opinion polarization event is proved to be a probability one event. While if the bias parameters are dynamic, the opinion evolution is proven to depend on early finite time slots for the dynamical individual bias parameter functions independent of the biased parameter values after the time threshold. Numerical simulations further show that opinion evolution depends on early finite time slots for some nonlinear dynamical individual bias parameter functions.https://www.mdpi.com/2227-7390/11/7/1661opinion dynamicsbias parameterhomogeneouspolarizationconsensus |
| spellingShingle | Jiangbo Zhang Yiyi Zhao Dynamics Analysis for the Random Homogeneous Biased Assimilation Model Mathematics opinion dynamics bias parameter homogeneous polarization consensus |
| title | Dynamics Analysis for the Random Homogeneous Biased Assimilation Model |
| title_full | Dynamics Analysis for the Random Homogeneous Biased Assimilation Model |
| title_fullStr | Dynamics Analysis for the Random Homogeneous Biased Assimilation Model |
| title_full_unstemmed | Dynamics Analysis for the Random Homogeneous Biased Assimilation Model |
| title_short | Dynamics Analysis for the Random Homogeneous Biased Assimilation Model |
| title_sort | dynamics analysis for the random homogeneous biased assimilation model |
| topic | opinion dynamics bias parameter homogeneous polarization consensus |
| url | https://www.mdpi.com/2227-7390/11/7/1661 |
| work_keys_str_mv | AT jiangbozhang dynamicsanalysisfortherandomhomogeneousbiasedassimilationmodel AT yiyizhao dynamicsanalysisfortherandomhomogeneousbiasedassimilationmodel |