On monotonicity conditions for Mean Field Games
نویسندگان
چکیده
In this paper we propose two new monotonicity conditions that could serve as sufficient for uniqueness of Nash equilibria in mean field games. study aim unconditional is independent the length time horizon, regularity starting distribution agents, or regularization effect a non-degenerate idiosyncratic noise. Through rich class simple examples show these are not only dichotomy with each other, but also widely studied literature, Lasry–Lions and displacement conditions.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2023.110095