Abstract
In this study, we consider the long-term convergence (trend toward an equilibrium) of finite state mean-field games using Γ-convergence. Our techniques are based on the observation that an important class of mean-field games can be viewed as the Euler-Lagrange equation of a suitable functional. Therefore, using a scaling argument, one can convert a long-term convergence problem into a Γ-convergence problem. Our results generalize previous results related to long-term convergence for finite state problems. © 2014 Elsevier Inc.
Original language | English (US) |
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Pages (from-to) | 211-230 |
Number of pages | 20 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 418 |
Issue number | 1 |
DOIs | |
State | Published - Oct 2014 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics