A "trembling hand perfect" equilibrium for a certain class of mean field games
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912428838617088 |
|---|---|
| author | Graber, P. Jameson |
| author_facet | Graber, P. Jameson |
| contents | We study a particular class of mean field games whose solutions can be formally connected to a scalar transport equation on the Wasserstein space of measures. For this class, we construct some interesting explicit examples of non-uniqueness of Nash equilibria. We then address the selection problem of finding rational criteria by which to choose one equilibrium over others. We show that when the theory of entropy solutions is used, we can obtain explicit error estimates for the ``vanishing noise limit,'' where the error is measured in a certain norm that measures the distance between two functions over the set of empirical measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11868 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A "trembling hand perfect" equilibrium for a certain class of mean field games Graber, P. Jameson Analysis of PDEs Optimization and Control We study a particular class of mean field games whose solutions can be formally connected to a scalar transport equation on the Wasserstein space of measures. For this class, we construct some interesting explicit examples of non-uniqueness of Nash equilibria. We then address the selection problem of finding rational criteria by which to choose one equilibrium over others. We show that when the theory of entropy solutions is used, we can obtain explicit error estimates for the ``vanishing noise limit,'' where the error is measured in a certain norm that measures the distance between two functions over the set of empirical measures. |
| title | A "trembling hand perfect" equilibrium for a certain class of mean field games |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2506.11868 |