On the Graphon Mean Field Game equations: Individual agent affine dynamics and mean field dependent performance functions

Abstract

This paper establishes unique solvability of a class of Graphon Mean Field Game equations. The special case of a constant graphon yields the result for the Mean Field Game equations.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jan 01, 2022
Source ID
10.1051/cocv/2022020

Entities

People

  • Daniel Ho
  • Jiamin Jian
  • Minyi Huang
  • Peter E. Caines
  • Qingshuo Song

Organizations

  • Air Force Office of Scientific Research
  • Research Grants Council, University Grants Committee

Tags

Readers

  • Game Theory.
  • Mathematical Modeling and Probability Theory.
  • Plasma Physics / Magnetohydrodynamics