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arXiv · 2607.22537

A uniqueness result for finite-state mean field games with non-separable Hamiltonian

Alekos Cecchin·Luca Di Persio·Nicola Fraccarolo
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Abstract

We study a class of continuous-time mean field games on a finite state space with transition rates depending on the population distribution, leading to a non-separable Hamiltonian. In this setting, classical Lasry--Lions monotonicity arguments do not apply directly. We establish a new uniqueness result on arbitrary time horizons under a combination of strong monotonicity assumptions on the costs and quantitative bounds on the interaction term in the dynamics.

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Alekos Cecchin, Luca Di Persio, Nicola Fraccarolo. 2026-04-20. A uniqueness result for finite-state mean field games with non-separable Hamiltonian. https://arxiv.org/abs/2607.22537

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