Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

A Lagrangian approach for aggregative mean field games of controls with mixed and final constraints

Abstract : The objective of this paper is to analyze the existence of equilibria for a class of deterministic mean field games of controls. The interaction between players is due to both a congestion term and a price function which depends on the distributions of the optimal strategies. Moreover, final state and mixed state-control constraints are considered, the dynamics being nonlinear and affine with respect to the control. The existence of equilibria is obtained by Kakutani's theorem, applied to a fixed point formulation of the problem. Finally, uniqueness results are shown under monotonicity assumptions.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.inria.fr/hal-03174167
Contributor : Justina Gianatti Connect in order to contact the contributor
Submitted on : Monday, January 17, 2022 - 7:27:10 PM
Last modification on : Monday, April 25, 2022 - 6:54:02 PM

Files

Bonnans-Gianatti-Pfeiffer-prep...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03174167, version 2
  • ARXIV : 2103.10743

Citation

Joseph Frédéric Bonnans, Justina Gianatti, Laurent Pfeiffer. A Lagrangian approach for aggregative mean field games of controls with mixed and final constraints. 2022. ⟨hal-03174167v2⟩

Share

Metrics

Record views

80

Files downloads

181