Strategic advantages in mean field games with a major player
This note is concerned with a modeling question arising from the mean field games theory. We show how to model mean field games involving a major player which has a strategic advantage, while only allowing closed loop markovian strategies for all the players. We illustrate this property through thre...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2020-06-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.1/ |
| _version_ | 1797651555006021632 |
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| author | Bertucci, Charles Lasry, Jean-Michel Lions, Pierre-Louis |
| author_facet | Bertucci, Charles Lasry, Jean-Michel Lions, Pierre-Louis |
| author_sort | Bertucci, Charles |
| collection | DOAJ |
| description | This note is concerned with a modeling question arising from the mean field games theory. We show how to model mean field games involving a major player which has a strategic advantage, while only allowing closed loop markovian strategies for all the players. We illustrate this property through three examples. |
| first_indexed | 2024-03-11T16:17:30Z |
| format | Article |
| id | doaj.art-9df1d8c81b824af68a26c9a68e849e72 |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:30Z |
| publishDate | 2020-06-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-9df1d8c81b824af68a26c9a68e849e722023-10-24T14:19:07ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692020-06-01358211311810.5802/crmath.110.5802/crmath.1Strategic advantages in mean field games with a major playerBertucci, Charles0Lasry, Jean-Michel1Lions, Pierre-Louis2CMAP, École Polytechnique, CNRS, 91128 Palaiseau, FranceUniversité Paris-Dauphine, PSL Research University,UMR 7534, CEREMADE, 75016 Paris, FranceCollège de France, 3 rue d’Ulm, 75005, Paris, France; Université Paris-Dauphine, PSL Research University,UMR 7534, CEREMADE, 75016 Paris, FranceThis note is concerned with a modeling question arising from the mean field games theory. We show how to model mean field games involving a major player which has a strategic advantage, while only allowing closed loop markovian strategies for all the players. We illustrate this property through three examples.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.1/ |
| spellingShingle | Bertucci, Charles Lasry, Jean-Michel Lions, Pierre-Louis Strategic advantages in mean field games with a major player Comptes Rendus. Mathématique |
| title | Strategic advantages in mean field games with a major player |
| title_full | Strategic advantages in mean field games with a major player |
| title_fullStr | Strategic advantages in mean field games with a major player |
| title_full_unstemmed | Strategic advantages in mean field games with a major player |
| title_short | Strategic advantages in mean field games with a major player |
| title_sort | strategic advantages in mean field games with a major player |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.1/ |
| work_keys_str_mv | AT bertuccicharles strategicadvantagesinmeanfieldgameswithamajorplayer AT lasryjeanmichel strategicadvantagesinmeanfieldgameswithamajorplayer AT lionspierrelouis strategicadvantagesinmeanfieldgameswithamajorplayer |