• Featured in Physics

Schrödinger Approach to Mean Field Games

Igor Swiecicki, Thierry Gobron, and Denis Ullmo
Phys. Rev. Lett. 116, 128701 – Published 23 March 2016
Physics logo See Synopsis: Playing Games with Schrödinger

Abstract

Mean field games (MFG) provide a theoretical frame to model socioeconomic systems. In this Letter, we study a particular class of MFG that shows strong analogies with the nonlinear Schrödinger and Gross-Pitaevskii equations introduced in physics to describe a variety of physical phenomena. Using this bridge, many results and techniques developed along the years in the latter context can be transferred to the former, which provides both a new domain of application for the nonlinear Schrödinger equation and a new and fruitful approach in the study of mean field games. Utilizing this approach, we analyze in detail a population dynamics model in which the “players” are under a strong incentive to coordinate themselves.

  • Figure
  • Received 1 December 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.128701

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Interdisciplinary Physics

Synopsis

Key Image

Playing Games with Schrödinger

Published 23 March 2016

Models that treat economic and biological behavior in terms of game-play resemble quantum mechanics.

See more in Physics

Authors & Affiliations

Igor Swiecicki1,2, Thierry Gobron2, and Denis Ullmo1,*

  • 1LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France
  • 2LPTM, CNRS, Université Cergy-Pontoise, 95302 Cergy-Pontoise, France

  • *denis.ullmo@u-psud.fr

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 116, Iss. 12 — 25 March 2016

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×