Threshold model of language competition including the bilingual state
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915628028264448 |
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| author | Tamm, Mikhail V. Heinsalu, Els Scialla, Stefano Patriarca, Marco |
| author_facet | Tamm, Mikhail V. Heinsalu, Els Scialla, Stefano Patriarca, Marco |
| contents | We propose a threshold model of language competition which includes intermediate bilingual state. The model is based on the Minett-Wang model but through the introduction of thresholds in the language shift rates it incorporates the effects of memory and learning. The model is piecewise-linear, allowing the exact analytical treatment. We study the symmetric case where two competing languages are equivalent in terms of status and social pressure and provide a complete list of the various dynamical regimes. We also study several limiting regimes corresponding to asymmetric systems and characterize the full spectrum of possible asymptotic behaviors. Unlike the Minett-Wang model, which always predicts the extinction of one of the languages, the proposed new model exhibits a wide range of possible equilibrium scenarios, including equilibrium states of coexistence. Most commonly, in such coexistence regimes the minority language speakers are either completely monolingual or completely bilingual. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09136 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Threshold model of language competition including the bilingual state Tamm, Mikhail V. Heinsalu, Els Scialla, Stefano Patriarca, Marco Physics and Society Statistical Mechanics Adaptation and Self-Organizing Systems We propose a threshold model of language competition which includes intermediate bilingual state. The model is based on the Minett-Wang model but through the introduction of thresholds in the language shift rates it incorporates the effects of memory and learning. The model is piecewise-linear, allowing the exact analytical treatment. We study the symmetric case where two competing languages are equivalent in terms of status and social pressure and provide a complete list of the various dynamical regimes. We also study several limiting regimes corresponding to asymmetric systems and characterize the full spectrum of possible asymptotic behaviors. Unlike the Minett-Wang model, which always predicts the extinction of one of the languages, the proposed new model exhibits a wide range of possible equilibrium scenarios, including equilibrium states of coexistence. Most commonly, in such coexistence regimes the minority language speakers are either completely monolingual or completely bilingual. |
| title | Threshold model of language competition including the bilingual state |
| topic | Physics and Society Statistical Mechanics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2511.09136 |