1. Comparing the best-reply strategy and mean-field games: The stationary case.
- Author
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BARKER, MATT, DEGOND, PIERRE, and WOLFRAM, MARIE-THERESE
- Subjects
STRATEGY games ,BOUNDARY value problems ,MATHEMATICAL optimization ,DIFFERENTIAL games ,FOKKER-Planck equation - Abstract
Mean-field games (MFGs) and the best-reply strategy (BRS) are two methods of describing competitive optimisation of systems of interacting agents. The latter can be interpreted as an approximation of the respective MFG system. In this paper, we present an analysis and comparison of the two approaches in the stationary case. We provide novel existence and uniqueness results for the stationary boundary value problems related to the MFG and BRS formulations, and we present an analytical and numerical comparison of the two paradigms in some specific modelling situations. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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