A Total Variation Flow Scheme for Ergodic Mean Field Games
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912115522011136 |
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| author | Kalise, Dante Oliviero, Alessio Ruiz-Balet, Domènec |
| author_facet | Kalise, Dante Oliviero, Alessio Ruiz-Balet, Domènec |
| contents | Motivated by recent developments in mean-field games in ecology, in this paper we introduce a connection between the best response dynamics in evolutionary game theory, the minimization of the highest income of a game, and minimizing movement schemes. The aim of this work is to develop a variational approach to compute solutions of first order ergodic mean-field games that may not possess a priori a variational structure. The study is complemented by a discussion and successful implementation of the algorithms, and comparisons between them in a variety of cases |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07331 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Total Variation Flow Scheme for Ergodic Mean Field Games Kalise, Dante Oliviero, Alessio Ruiz-Balet, Domènec Optimization and Control Motivated by recent developments in mean-field games in ecology, in this paper we introduce a connection between the best response dynamics in evolutionary game theory, the minimization of the highest income of a game, and minimizing movement schemes. The aim of this work is to develop a variational approach to compute solutions of first order ergodic mean-field games that may not possess a priori a variational structure. The study is complemented by a discussion and successful implementation of the algorithms, and comparisons between them in a variety of cases |
| title | A Total Variation Flow Scheme for Ergodic Mean Field Games |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2411.07331 |