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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Online-Zugang: | https://arxiv.org/abs/2308.10128 |
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| _version_ | 1866929229763969024 |
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| author | Festa, Adriano Gottlich, Simone Ricciardi, Michele |
| author_facet | Festa, Adriano Gottlich, Simone Ricciardi, Michele |
| contents | While the general theory for the terminal-initial value problem in mean-field games is widely used in many models of applied mathematics, the modeling potential of the corresponding forward-forward version is still under-considered. In this work, we study the well-posedness of the problem in a quite general setting and explain how it is appropriate to model a system of players that have a complete knowledge of the past states of the system and are adapting to new information without any knowledge about the future. Then we show how forward-forward mean field games can be effectively used in mathematical models for opinion formation and other social phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_10128 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Forward-Forward Mean Field Games in mathematical modeling with application to opinion formation and voting models Festa, Adriano Gottlich, Simone Ricciardi, Michele Analysis of PDEs While the general theory for the terminal-initial value problem in mean-field games is widely used in many models of applied mathematics, the modeling potential of the corresponding forward-forward version is still under-considered. In this work, we study the well-posedness of the problem in a quite general setting and explain how it is appropriate to model a system of players that have a complete knowledge of the past states of the system and are adapting to new information without any knowledge about the future. Then we show how forward-forward mean field games can be effectively used in mathematical models for opinion formation and other social phenomena. |
| title | Forward-Forward Mean Field Games in mathematical modeling with application to opinion formation and voting models |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2308.10128 |