Back to Search
Start Over
On the convergence of finite state mean-field games through Γ-convergence.
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2014, Vol. 418 Issue 1, p211-230. 20p. - Publication Year :
- 2014
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 418
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 95884662
- Full Text :
- https://doi.org/10.1016/j.jmaa.2014.02.044