English

Learning in anonymous nonatomic games with applications to first-order mean field games

Optimization and Control 2017-04-04 v1

Abstract

We introduce a model of anonymous games with the player dependent action sets. We propose several learning procedures based on the well-known Fictitious Play and Online Mirror Descent and prove their convergence to equilibrium under the classical monotonicity condition. Typical examples are first-order mean field games.

Keywords

Cite

@article{arxiv.1704.00378,
  title  = {Learning in anonymous nonatomic games with applications to first-order mean field games},
  author = {Saeed Hadikhanloo},
  journal= {arXiv preprint arXiv:1704.00378},
  year   = {2017}
}