# Translation invariant mean field games with common noise

arXiv: https://arxiv.org/abs/1409.7345 · HTML: https://mlsanity.com/paper/1409.7345/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Sep 2014.

## Built on by (most cited first, 1 of 1)

- [Signatured Deep Fictitious Play for Mean Field Games with Common Noise](https://mlsanity.com/paper/2106.03272/) (2021)

## Abstract (arXiv)

This note highlights a special class of mean field games in which the coefficients satisfy a convolution-type structural condition. A mean field game of this type with common noise is related to a certain mean field game without common noise by a simple transformation, which permits a tractable construction of a solution of the problem with common noise from a solution of the problem without.