 ##  [Mean-Field Game](/index.php/mean-field-game) 

  ##  [Mean-Field Game](https://mathlogic.quantumdictionary.io/mean-field-game-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/index.php/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A mathematical framework coupling individual optimal-control problems with a mean-field description of the population distribution, yielding a self-consistent equilibrium when each agent optimally responds to the population mean while the population evolves under the aggregate of those responses.