Hybrid mean field game dynamics in large population

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider finite populations of interacting players with different types and finite action set per type. Under suitable conditions we derive the mean field game dynamics which can be deterministic or stochastic depending on how the system behave with the time-scales. Connection between mean field game dynamics and evolutionary game dynamics are established. Considering different revision protocols for each player, we derive an hybrid mean field game dynamics which offers the possibility of elimination of non-Nash rest points and give nice convergence properties in potential games and stable games.

Original languageEnglish (US)
Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5109-5114
Number of pages6
ISBN (Print)9781457700804
DOIs
StatePublished - 2011

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Tembine, H. (2011). Hybrid mean field game dynamics in large population. In Proceedings of the 2011 American Control Conference, ACC 2011 (pp. 5109-5114). [5990794] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2011.5990794