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Mean-field games with unbounded controls: a weak formulation approach to global solutions

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  • Ulrich Horst
  • Takashi Sato

Abstract

We establish an existence of equilibrium result for a class of non-Markovian mean-field games with unbounded control space in weak formulation. Our result is based on new existence and stability results for quadratic-growth generalized McKean-Vlasov BSDEs. Unlike earlier approaches, our approach does not require boundedness assumptions on the model parameters or time horizons and allows for running costs that are quadratic in the control variable.

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  • Ulrich Horst & Takashi Sato, 2026. "Mean-field games with unbounded controls: a weak formulation approach to global solutions," Papers 2603.05624, arXiv.org.
    • Handle: RePEc:arx:papers:2603.05624
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    References listed on IDEAS

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